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INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS

Archives
Volume--Issue-
ON THE EPRÐCHAMELEON EXPERIMENT

Authors :- LUIGI ACCARDI , KENTARO IMAFUKU and MASSIMO REGOLI

SPLITTING OF POISSON NOISE AND LƒVY PROCESSES ON REAL LIE ALGEBRAS

Authors :- NICOLAS PRIVAULT

THE RIESZ REPRESENTATION THEOREM ON INFINITE DIMENSIONAL SPACES AND ITS APPLICATIONS

Authors :- YUH-JIA LEE and CHEN-YUH SHIH

STOCHASTIC EVOLUTION AS A QUASICLASSICAL LIMIT OF A BOUNDARY VALUE PROBLEM FOR SCHR…DINGER EQUATIONS

Authors :- V. P. BELAVKIN and V. N. KOLOKOL'TSOV

TAYLOR MAP ON GROUPS ASSOCIATED WITH A II1-FACTOR

Authors :- MARIA GORDINA

THE FIVE INDEPENDENCES AS QUASI-UNIVERSAL PRODUCTS

Authors :- NAOFUMI MURAKI

ON ACCARDI'S NOTION OF COMPLEMENTARY OBSERVABLES

Authors :- G. CASSINELLI and V. S. VARADARAJAN

STOCHASTIC PROCESSES ON GROUPS OF DIFFEOMORPHISMS AND VISCOUS HYDRODYNAMICS

Authors :- YA. I. BELOPOLSKAYA and YU. E. GLIKLIKH

FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY

Authors :- B. JEFFERIES and G. W. JOHNSON

HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY

Authors :- YURI G. KONDRATIEV and TOBIAS KUNA

FERMI CONVOLUTION

Authors :- FERENC ORAVECZ

GENERALIZED FEYNMANÐKAC FORMULA WITH STOCHASTIC POTENTIAL

Authors :- HABIB OUERDIANE and JOSÉ LUIS SILVA

DIRICHLET PROBLEMS IN A HALF-SPACE OF A HILBERT SPACE

Authors :- ENRICO PRIOLA

CANONICAL PROPERTY OF REPRESENTATIONS OF GAUSSIAN PROCESSES WITH SINGULAR VOLTERRA KERNELS

Authors :- YUJI HIBINO and MASUYUKI HITSUDA

GENERATORS OF MEHLER-TYPE SEMIGROUPS AS PSEUDO-DIFFERENTIAL OPERATORS

Authors :- PAUL LESCOT and MICHAEL RÖCKNER

DIAGONALIZATION OF THE LƒVY LAPLACIAN AND RELATED STABLE PROCESSES

Authors :- HUI-HSIUNG KUO , NOBUAKI OBATA and KIMIAKI SAITÔ

CONTINUOUS DEPENDENCE ON INITIAL DATA FOR SOLUTIONS OF NONLINEAR STOCHASTIC EVOLUTION EQUATIONS

Authors :- THOMAS DECK

A FLAT COPY OF THE ORNSTEINÐUHLENBECK OPERATOR ON THE PATH SPACE OVER A RIEMANNIAN MANIFOLD

Authors :- JÖRG-UWE LÖBUS

ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION

Authors :- UN CIG JI , NOBUAKI OBATA and HABIB OUERDIANE

A UNIFIED APPROACH TO GENERALIZED CONDITIONAL EXPECTATIONS OPERATOR VALUED WEIGHTS AND RADONÐNIKODYM DERIVATIVES ON VON NEUMANN ALGEBRAS

Authors :- STEFANO CAVALLARO and CARLO CECCHINI

CANONICAL REPRESENTATION OF STATIONARY QUANTUM GAUSSIAN PROCESSES

Authors :- LUIGI ACCARDI and YUJI HIBINO

RADONIFICATION OF CYLINDRICAL SEMIMARTINGALES BY A SINGLE HILBERTÐSCHMIDT OPERATOR

Authors :- ADAM JAKUBOWSKI , STANIS?AW KWAPIE? , PAUL RAYNAUD DE FITTE and JAN ROSI?SKI

FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE

Authors :- YAOZHONG HU and BERNT ØKSENDAL

THE CONSTRUCTION OF THE CHAOTIC REPRESENTATION FOR THE GAMMA FIELD

Authors :- YURIJ M. BEREZANSKY and DMYTRO A. MIERZEJEWSKI

BEREZIN QUANTIZATION OF THE SCHR…DINGER ALGEBRA

Authors :- PHILIP FEINSILVER , JERZY KOCIK and RENÉ SCHOTT

ORTHOGONAL DECOMPOSITIONS FOR LƒVY PROCESSES WITH AN APPLICATION TO THE GAMMA, PASCAL, AND MEIXNER PROCESSES

Authors :- EUGENE LYTVYNOV

FEYNMANÐKAC REPRESENTATION AND MARKOV PROPERTY OF SEMIGROUPS GENERATED BY NONCOMMUTATIVE ELLIPTIC OPERATORS

Authors :- CHANGSOO BAHN and YONG MOON PARK

QUANTUM MARKOV FIELDS

Authors :- LUIGI ACCARDI and FRANCESCO FIDALEO

SCALING LIMIT FOR GIBBS STATES OF JOHNSON GRAPHS AND RESULTING MEIXNER CLASSES

Authors :- AKIHITO HORA

ON THE SOLVABILITY OF HAMILTON'S EQUATIONS IN HILBERT SPACES

Authors :- S. A. SHKARIN

2D Vortex Motion of an Incompressible Ideal Fluid: The KoopmanÐvon Neumann Approach

Authors :- S. Albeverio and B. Ferrario

A Unified Characterization Theorem in White Noise Theory

Authors :- Un Cig Ji and Nobuaki Obata

Adelic Path Integrals for Quadratic Lagrangians

Authors :- Goran S. Djordjevi? , Branko Dragovich and Ljubiša Neši?

The Unitarity Conditions for the Square of White Noise

Authors :- Luigi Accardi and Andreas Boukas

On the Asymptotic Behaviour of Some Stochastic Differential Equations for Quantum States

Authors :- Alberto Barchielli and Anna M. Paganoni

Random Walk and Diffusion on a Smash Line Algebra

Authors :- Demosthenes Ellinas and Ioannis Tsohantjis

Spectral Gaps on Discretized Loop Spaces

Authors :- Andreas Eberle

On Quantum Capacity and its Bound

Authors :- Masanori Ohya and Igor V. Volovich

The Proof of the FeynmanÐKac Formula for Heat Equation on a Compact Riemannian Manifold

Authors :- Oleg O. Obrezkov

Singular Spacetime It™'s Integral and a Class of Singular Interacting Branching Particle Systems

Authors :- Hao Wang

THE FIVE INDEPENDENCES AS NATURAL PRODUCTS

Authors :- NAOFUMI MURAKI

CAPACITIES ON C*-ALGEBRAS

Authors :- HENRI COMMAN

INTERACTION MEASURES ON THE SPACE OF DISTRIBUTIONS OVER THE FIELD OF p-ADIC NUMBERS

Authors :- ANATOLY N. KOCHUBEI and MUSTAFA R. SAIT-AMETOV

DUAL GEOMETRY OF THE WIGNERÐYANASEÐDYSON INFORMATION CONTENT

Authors :- HIROSHI HASEGAWA

A STOCHASTIC GOLDEN RULE AND QUANTUM LANGEVIN EQUATION FOR THE LOW DENSITY LIMIT

Authors :- L. ACCARDI , A. N. PECHEN and I. V. VOLOVICH

STOCHASTIC EQUATIONS AND DIRICHLET OPERATORS ON INFINITE PRODUCT MANIFOLDS

Authors :- SERGIO ALBEVERIO , ALEXEI DALETSKII and YURI KONDRATIEV

THE LAW OF LARGE NUMBERS AND THE LAW OF THE ITERATED LOGARITHM FOR INFINITE DIMENSIONAL INTERACTING DIFFUSION PROCESSES

Authors :- BYRON SCHMULAND and WEI SUN

LOGARITHMIC SOBOLEV INEQUALITY FOR -METRIC ON PINNED LOOP GROUPS

Authors :- YUZURU INAHAMA

?-FREE PROBABILITY

Authors :- WOJCIECH M?OTKOWSKI

GENERAL SOLUTION OF THE FUNCTIONAL CENTRAL LIMIT PROBLEMS ON A LIE GROUP

Authors :- GYULA PAP

INTEGRATION BY PARTS AND SMOOTHNESS OF THE LAW FOR A CLASS OF STOCHASTIC EVOLUTION EQUATIONS

Authors :- STEFANO BONACCORSI and MARCO FUHRMAN

QUASI-INVARIANCE FORMULAS FOR COMPONENTS OF QUANTUM LƒVY PROCESSES

Authors :- UWE FRANZ and NICOLAS PRIVAULT

UNITARITY OF KUO'S FOURIERÐMEHLER TRANSFORM

Authors :- UN CIG JI and NOBUAKI OBATA

THE KOLMOGOROV EQUATION ASSOCIATED TO THE STOCHASTIC NAVIERÐSTOKES EQUATIONS IN 2D

Authors :- VIOREL BARBU , GIUSEPPE DA PRATO and ARNAUD DEBUSSCHE

SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA

Authors :- LUIGI ACCARDI , GRIGORI AMOSOV and UWE FRANZ

ON RELATIONS BETWEEN A PRIORI BOUNDS FOR MEASURES ON CONFIGURATION SPACES

Authors :- YURI KONDRATIEV , TOBIAS KUNA and OLEKSANDR KUTOVIY

DUALITY, MONOTONICITY AND THE WIGNERÐYANASEÐDYSON METRICS

Authors :- M. R. GRASSELLI

FISCHER DECOMPOSITIONS OF ENTIRE FUNCTIONS OF HILBERTÐSCHMIDT HOLOMORPHY TYPE

Authors :- HENRIK PETERSSON

A NOTE ON THE ESSENTIAL SELF-ADJOINTNESS OF ORNSTEINÐUHLENBECK OPERATORS PERTURBED BY A DISSIPATIVE DRIFT AND A POTENTIAL

Authors :- HONGWEI LONG and ISABEL SIMÃO

POSITIVE DILATIONS OF PIECEWISE MONOTONIC MARKOV MAPS

Authors :- I. ANTONIOU , K. GUSTAFSON and S. A. SHKARIN

K†MMERERÐMAASSEN-SCATTERING THEORY AND ENTANGLEMENT

Authors :- ROLF GOHM

TIME-DEPENDENT DIRICHLET FORMS AND RELATED STOCHASTIC CALCULUS

Authors :- YOICHI OSHIMA

OPTIMAL LOG-SOBOLEV INEQUALITY AND HYPERCONTRACTIVITY FOR POSITIVE SEMIGROUPS ON

Authors :- RAFFAELLA CARBONE

REDUCTION OF FREE INDEPENDENCE TO TENSOR INDEPENDENCE

Authors :- ROMUALD LENCZEWSKI

STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES

Authors :- RÉMI LÉANDRE

HILLEÐYOSIDA ESTIMATE AND NONCONSERVATIVITY CRITERIA FOR QUANTUM DYNAMICAL SEMIGROUPS

Authors :- JULIO C. GARCÍA and ROBERTO QUEZADA

FRACTIONAL RANDOM FIELDS ON DOMAINS WITH FRACTAL BOUNDARY

Authors :- M. D. RUIZ-MEDINA , J. M. ANGULO and V. V. ANH

MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSEÐEINSTEIN CONDENSATION

Authors :- LUIGI ACCARDI , ANIS BEN GHORBAL and NOBUAKI OBATA

ON EXPLICIT STRONG SOLUTION OF ITïÐSDE'S AND THE DONSKER DELTA FUNCTION OF A DIFFUSION

Authors :- ALBERTO LANCONELLI and FRANK PROSKE

LIMIT THEOREMS IN ?-BOOLEAN PROBABILITY

Authors :- WOJCIECH M?OTKOWSKI

THE SMOLYANOV SURFACE MEASURE ON TRAJECTORIES IN A RIEMANNIAN MANIFOLD

Authors :- NADEZDA A. SIDOROVA

THE OPEN XY MODEL

Authors :- JOHN GOUGH

ON PRODUCT SYSTEMS ARISING FROM SUM SYSTEMS

Authors :- B. V. RAJARAMA BHAT and R. SRINIVASAN

COVARIANCE-PARAMETER LƒVY PROCESSES IN THE SPACE OF TRACE-CLASS OPERATORS

Authors :- VÍCTOR PÉREZ-ABREU and ALFONSO ROCHA-ARTEAGA

INTEGRAL REPRESENTATION OF QUANTUM MARTINGALES

Authors :- UN CIG JI and KALYAN B. SINHA

SYMMETRIC DIFFERENTIATION AND HAMILTONIAN OF A QUANTUM STOCHASTIC PROCESS

Authors :- WILHELM VON WALDENFELS

A REMARK ON MONOTONIC CONVOLUTION

Authors :- H. BERCOVICI

ON TRACIAL DISTRIBUTIONS Ñ A CONTRIBUTION TO THE HIDA THEORY

Authors :- GOPINATH KALLIANPUR

CONVERGENCE OF COINED QUANTUM WALKS ON ?d

Authors :- ALEX D. GOTTLIEB , SVANTE JANSON and PETRA F. SCUDO

EXTENDABILITY OF GENERALIZED QUANTUM MARKOV CHAINS ON GAUGE INVARIANT C*-ALGEBRAS

Authors :- HIROMICHI OHNO

ON IRREDUCIBILITY OF THE ENERGY REPRESENTATION OF THE GAUGE GROUP AND THE WHITE NOISE DISTRIBUTION THEORY

Authors :- YOSHIHITO SHIMADA

REMARKS ON THE STRUCTURE OF DIRICHLET FORMS ON STANDARD FORMS OF VON NEUMANN ALGEBRAS

Authors :- YONG MOON PARK

OCCUPATION TIMES OF BROWNIAN SEGMENTS AND THE ?-FINITE WIENER MEASURE

Authors :- TOMASZ BOJDECKI and LUIS G. GOROSTIZA

QUANTUM INFORMATION GEOMETRY AND NONCOMMUTATIVE Lp-SPACES

Authors :- ANNA JEN?OVÁ

MALLIAVIN CALCULUS AND ANTICIPATIVE ITï FORMULAE FOR LƒVY PROCESSES

Authors :- GIULIA DI NUNNO , THILO MEYER-BRANDIS , BERNT ØKSENDAL and FRANK PROSKE

MONOTONIC INDEPENDENCE ON THE WEAKLY MONOTONE FOCK SPACE AND RELATED POISSON TYPE THEOREM

Authors :- JANUSZ WYSOCZA?SKI

ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

Authors :- FARRUKH MUKHAMEDOV and UTKIR ROZIKOV

CONSTRUCTING EXTENSIONS OF CP-MAPS VIA TENSOR DILATIONS WITH THE HELP OF VON NEUMANN MODULES

Authors :- ROLF GOHM and MICHAEL SKEIDE

RENORMALIZED SQUARES OF BOSON FIELDS

Authors :- L. ACCARDI and R. ROSCHIN

THE NUMBER OF PURE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION

Authors :- FERENC ORAVECZ

ON HUNT PROCESSES AND STRICT CAPACITIES ASSOCIATED WITH GENERALIZED DIRICHLET FORMS

Authors :- GERALD TRUTNAU

QUENCHED MEAN LIMIT THEOREMS FOR THE SUPER-BROWNIAN MOTION WITH SUPER-BROWNIAN IMMIGRATION

Authors :- WENMING HONG

IRREDUCIBILITY OF THE TRANSITION SEMIGROUP ASSOCIATED WITH THE STOCHASTIC OBSTACLE PROBLEM

Authors :- VIOREL BARBU and GIUSEPPE DA PRATO

CUMULANTS IN NONCOMMUTATIVE PROBABILITY THEORY III: CREATION AND ANNIHILATION OPERATORS ON FOCK SPACES

Authors :- FRANZ LEHNER

CHARACTERIZATION OF OPERATORS ON A KONDRATIEV SPACE IN THE NON-GAUSSIAN SETTING: BIORTHOGONAL APPROACH

Authors :- EUGENE YABLONSKY

QUANTUM MARKOVIAN APPROXIMATIONS FOR FERMIONIC RESERVOIRS

Authors :- JOHN GOUGH and ANDREI SOBOLEV

SECOND QUANTIZATION AND THE Lp-SPECTRUM OF NONSYMMETRIC ORNSTEINÐUHLENBECK OPERATORS

Authors :- J. M. A. M VAN NEERVEN

ENTANGLED MARKOV CHAINS GENERATED BY SYMMETRIC CHANNELS

Authors :- TAKAYUKI MIYADERA

HILBERT SPACE OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE MODIFIED BESSEL FUNCTION AND RELATED ORTHOGONAL POLYNOMIALS

Authors :- NOBUHIRO ASAI

ASSOCIATIVE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION

Authors :- ANNA DOROTA KRYSTEK and ?UKASZ JAN WOJAKOWSKI

BEC OF FREE BOSONS ON NETWORKS

Authors :- TAKU MATSUI

WEAK DUALITY AND THE DUAL PROCESS FOR A SEMI-DIRICHLET FORM

Authors :- LUCIAN BEZNEA and NICU BOBOC

REPRESENTATIONS OF

Authors :- PAUL S. MUHLY , MICHAEL SKEIDE and BARUCH SOLEL

NON-SELF-ADJOINT EXTENSIONS OF THE LƒVYÐLAPLACIAN AND THE LƒVYÐLAPLACE EQUATION

Authors :- OLEG O. OBREZKOV

DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY

Authors :- ROMUALD LENCZEWSKI and RAFA? SA?APATA

THE STOCHASTIC ORDER AND CRITICAL PHENOMENA FOR SUPERPROCESSES

Authors :- FENG-YU WANG

RENORMALIZED POWERS OF QUANTUM WHITE NOISE

Authors :- LUIGI ACCARDI , ANDREAS BOUKAS and UWE FRANZ

REMARK ON THE INTEGRATION BY PARTS FORMULA FOR THE -QUANTUM FIELD MODEL

Authors :- SERGIO ALBEVERIO , SONG LIANG and BOGUSLAV ZEGARLINSKI

DISSIPATIVE BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONS

Authors :- FULVIA CONFORTOLA

BEST CONSTANTS IN NORMS OF WICK PRODUCTS

Authors :- AUREL I. STAN

ON CONTACT PROCESSES IN CONTINUUM

Authors :- YURI KONDRATIEV and ANATOLI SKOROKHOD

ULTRAMETRIC RANDOM FIELD

Authors :- A. YU. KHRENNIKOV and S. V. KOZYREV

A QUANTUM APPROACH TO LAPLACE OPERATORS

Authors :- LUIGI ACCARDI , ABDESSATAR BARHOUMI and HABIB OUERDIANE

THE CAUCHY PROBLEM FOR THE WAVE EQUATION WITH LƒVY NOISE INITIAL DATA

Authors :- BERNT ØKSENDAL , FRANK PROSKE and MIKAEL SIGNAHL

ON THE ASYMPTOTICS OF THE DENSITY IN PERTURBED SPDE'S WITH SPATIALLY CORRELATED NOISE

Authors :- DAVID MÁRQUEZ-CARRERAS

CONTINUOUS-TIME QUANTUM WALKS ON TREES IN QUANTUM PROBABILITY THEORY

Authors :- NORIO KONNO

A NOTE ON KONNO'S PAPER ON QUANTUM WALK

Authors :- NOBUAKI OBATA

A SIMPLE PROOF OF THE FUNDAMENTAL THEOREM ABOUT ARVESON SYSTEMS

Authors :- MICHAEL SKEIDE

ON THE EXISTENCE OF E0-SEMIGROUPS

Authors :- WILLIAM ARVESON

A SIMPLE PROOF OF LOG-SOBOLEV INEQUALITIES ON A PATH SPACE WITH GIBBS MEASURES

Authors :- HIROSHI KAWABI

SUFFICIENCY IN QUANTUM STATISTICAL INFERENCE: A SURVEY WITH EXAMPLES

Authors :- ANNA JEN?OVÁ and DÉNES PETZ

RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY

Authors :- LUIGI ACCARDI and ANDREAS BOUKAS

INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES

Authors :- IZUMI KUBO , HUI-HSIUNG KUO and SUAT NAMLI

EXISTENCE OF E0-SEMIGROUPS FOR ARVESON SYSTEMS: MAKING TWO PROOFS INTO ONE

Authors :- MICHAEL SKEIDE

ENTANGLED MARKOV CHAINS ARE INDEED ENTANGLED

Authors :- LUIGI ACCARDI , TAKASHI MATSUOKA and MASANORI OHYA

FREE TRANSPORTATION COST INEQUALITIES FOR NONCOMMUTATIVE MULTI-VARIABLES

Authors :- FUMIO HIAI and YOSHIMICHI UEDA

ULTRACOHERENCE AND CANONICAL TRANSFORMATIONS

Authors :- JOACHIM KUPSCH and SUBHASHISH BANERJEE

LƒVYÐDIRICHLET FORMS

Authors :- S. ALBEVERIO , Ya. BELOPOLSKAYA and M. FELLER

SELF-SIMILARITY OF FREE STOCHASTIC PROCESSES

Authors :- ZHAOZHI FAN

GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

Authors :- U. A. ROZIKOV and Y. M. SUHOV

INDEPENDENCE AND MARKOVIANITY FOR STATES ON VON NEUMANN ALGEBRAS

Authors :- CARLO CECCHINI

MONOTONIC INDEPENDENCE ASSOCIATED WITH PARTIALLY ORDERED SETS

Authors :- JANUSZ WYSOCZA?SKI

SCALING LIMIT FOR A GENERAL CLASS OF QUANTUM FIELD MODELS AND ITS APPLICATIONS TO NUCLEAR PHYSICS AND CONDENSED MATTER PHYSICS

Authors :- AKITO SUZUKI

ON THE ENTANGLED ERGODIC THEOREM

Authors :- FRANCESCO FIDALEO

EXPANSION THEOREMS FOR GENERALIZED RANDOM PROCESSES, WICK PRODUCTS AND APPLICATIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS

Authors :- STEVAN PILIPOVI? and DORA SELEŠI

WHITE NOISE HEISENBERG EVOLUTION AND EVANSÐHUDSON FLOWS

Authors :- LUIGI ACCARDI , WIDED AYED and HABIB OUERDIANE

ON GIRSANOV AND GENERALIZED FEYNMANÐKAC TRANSFORMATIONS FOR SYMMETRIC MARKOV PROCESSES

Authors :- CHUAN-ZHONG CHEN , ZHI-MING MA and WEI SUN

MARKOV STATES AND CHAINS ON THE CAR ALGEBRA

Authors :- LUIGI ACCARDI , FRANCESCO FIDALEO and FARRUH MUKHAMEDOV

EQUILIBRIUM KAWASAKI DYNAMICS OF CONTINUOUS PARTICLE SYSTEMS

Authors :- YURI KONDRATIEV , EUGENE LYTVYNOV and MICHAEL RÖCKNER

ROTATION INVARIANT INTERACTING FOCK SPACES

Authors :- VITONOFRIO CRISMALE and YUN GANG LU

REGULARITY OF SOLUTIONS TO LINEAR STOCHASTIC SCHR…DINGER EQUATIONS

Authors :- CARLOS M. MORA and ROLANDO REBOLLEDO

A SIMILARITY BETWEEN THE GROSS LAPLACIAN AND THE LƒVY LAPLACIAN

Authors :- UN CIG JI and KIMIAKI SAITÔ

BI-POISSON PROCESS

Authors :- W?ODZIMIERZ BRYC and JACEK WESO?OWSKI

HEISENBERGÐWEYL LIE ALGEBRA AND NATURAL EXPONENTIAL FAMILIES

Authors :- ZARAI MOHAMMED

DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS

Authors :- LUIGI ACCARDI , ROMUALD LENCZEWSKI and RAFA? SA?APATA

GENERATORS OF DETAILED BALANCE QUANTUM MARKOV SEMIGROUPS

Authors :- FRANCO FAGNOLA and VERONICA UMANITÀ

INTEGRAL REPRESENTATIONS OF CYLINDRICAL LOCAL MARTINGALES IN EVERY SEPARABLE BANACH SPACE

Authors :- MARTIN ONDREJÁT

E0-SEMIGROUPS FOR CONTINUOUS PRODUCT SYSTEMS

Authors :- MICHAEL SKEIDE

CONCENTRATION OF INVARIANT MEASURES FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS

Authors :- MICHAEL RÖCKNER and FENG-YU WANG

NEW SCHEME OF QUANTUM TELEPORTATION

Authors :- A. KOSSAKOWSKI and M. OHYA

FOURIER ANALYSIS OVER HYPERBOLIC ALGEBRA, PSEUDO-DIFFERENTIAL OPERATORS, AND HYPERBOLIC DEFORMATION OF CLASSICAL MECHANICS

Authors :- ANDREI KHRENNIKOV

PARTICLE PICTURE APPROACH TO THE SELF-INTERSECTION LOCAL TIME OF BRANCHING DENSITY PROCESSES IN

Authors :- ANNA TALARCZYK

RANDOM FIELDS: NON-ANTICIPATING DERIVATIVE AND DIFFERENTIATION FORMULAS

Authors :- GIULIA DI NUNNO

UNIQUENESS OF THE EPRÐCHAMELEON MODEL

Authors :- LUIGI ACCARDI and SATOSHI UCHIYAMA

SMOLYANOVÐWEIZS€CKER SURFACE MEASURES GENERATED BY DIFFUSIONS ON THE SET OF TRAJECTORIES IN RIEMANNIAN MANIFOLDS

Authors :- ILYA V. TELYATNIKOV

BM-CENTRAL LIMIT THEOREMS FOR POSITIVE DEFINITE REAL SYMMETRIC MATRICES

Authors :- JANUSZ WYSOCZA?SKI

A LARGE DEVIATION FOR OCCUPATION TIME OF SUPER ?-STABLE PROCESS

Authors :- QIU-YUE LI and YAN-XIA REN

SOLUTION OF THE MPC PROBLEM IN TERMS OF THE SZ.-NAGYÐFOIA? DILATION THEORY

Authors :- F. GÓMEZ-CUBILLO

REMARKS ON A SEMICIRCULAR PERTURBATION OF THE FREE FISHER INFORMATION

Authors :- HIROAKI YOSHIDA

AN ASPECT OF QUADRATIC HIDA DISTRIBUTIONS IN THE REALIZATION OF A DUALITY BETWEEN GAUSSIAN AND POISSON NOISES

Authors :- SI SI

DECOMPOSITIONS OF SPACES OF MEASURES

Authors :- IOANNIS ANTONIOU , COSTAS KARANIKAS and STANISLAV SHKARIN

UNCERTAINTY PRINCIPLE FOR WIGNERÐYANASEÐDYSON INFORMATION IN SEMIFINITE VON NEUMANN ALGEBRAS

Authors :- PAOLO GIBILISCO and TOMMASO ISOLA

HEAT KERNEL MEASURE ON LOOP AND PATH GROUPS

Authors :- MATTHEW CECIL and BRUCE K. DRIVER

FORWARD INTEGRALS AND AN ITï FORMULA FOR FRACTIONAL BROWNIAN MOTION

Authors :- FRANCESCA BIAGINI and BERNT ØKSENDAL

NONLINEAR PROBLEMS IN INFINITE INTERACTING PARTICLE SYSTEMS

Authors :- ROBERT OLKIEWICZ , LIHU XU and BOGUS?AW ZEGARLI?SKI

DYNAMIC QUANTUM BERNOULLI RANDOM WALKS

Authors :- NADINE GUILLOTIN-PLANTARD and RENÉ SCHOTT

CORRELATION FUNCTIONS AND INVARIANT MEASURES IN CONTINUOUS CONTACT MODEL

Authors :- YURI KONDRATIEV , OLEKSANDR KUTOVIY and SERGEY PIROGOV

CONDITIONAL ENTRANCE LAWS FOR SUPERPROCESSES WITH DEPENDENT SPATIAL MOTION

Authors :- ZENGHU LI , HAO WANG and JIE XIONG

ON THE STRONG UNIQUENESS OF SOME FINITE DIMENSIONAL DIRICHLET OPERATORS

Authors :- MARTIN KOLB

FREE ENTROPY DIMENSION OF PROJECTIONS AND FACTORIALITY OF GENERATED VON NEUMANN ALGEBRAS

Authors :- TAKUHO MIYAMOTO

NO ZERO DIVISOR FOR WICK PRODUCT IN (S)*

Authors :- TAKAHIRO HASEBE , IZUMI OJIMA and HAYATO SAIGO

BESSISÐMOUSSAÐVILLANI CONJECTURE AND GENERALIZED GAUSSIAN RANDOM VARIABLES

Authors :- MAREK BO?EJKO

UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ?)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE

Authors :- ABDESSATAR BARHOUMI , HABIB OUERDIANE and ANIS RIAHI

NONCOMMUTATIVE BROWNIAN MOTIONS ASSOCIATED WITH KESTEN DISTRIBUTIONS AND RELATED POISSON PROCESSES

Authors :- ROMUALD LENCZEWSKI and RAFA? SA?APATA

A CHARACTERIZATION OF PROBABILITY MEASURES IN TERMS OF WICK PRODUCT INEQUALITIES

Authors :- AUREL I. STAN

WHAT TYPE OF DYNAMICS ARISE IN E0-DILATIONS OF COMMUTING QUANTUM MARKOV SEMIGROUPS?

Authors :- ORR MOSHE SHALIT

ON PERTURBED POSITIVE SEMIGROUPS ON THE BANACH SPACE OF TRACE CLASS OPERATORS

Authors :- MUSTAPHA MOKHTAR-KHARROUBI

ANALYSIS OF THE STOCHASTIC FITZHUGHÐNAGUMO SYSTEM

Authors :- STEFANO BONACCORSI and ELISA MASTROGIACOMO

INFINITE TENSOR PRODUCTS OF SPATIAL PRODUCT SYSTEMS

Authors :- REMUS FLORICEL

ALGEBRAIC CONDITIONS FOR CONVERGENCE OF A QUANTUM MARKOV SEMIGROUP TO A STEADY STATE

Authors :- FRANCO FAGNOLA and ROLANDO REBOLLEDO

EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES

Authors :- LUIGI ACCARDI , UN CIG JI and KIMIAKI SAITÔ

HIDA DISTRIBUTION CONSTRUCTION OF NON-GAUSSIAN REFLECTION POSITIVE GENERALIZED RANDOM FIELDS

Authors :- SERGIO ALBEVERIO and MINORU W. YOSHIDA

CHARACTERIZATIONS OF THE CLASS OF FREE SELF-DECOMPOSABLE DISTRIBUTIONS AND ITS SUBCLASSES

Authors :- NORIYOSHI SAKUMA

MALLIAVIN CALCULUS FOR LIE GROUP-VALUED WIENER FUNCTIONS

Authors :- TAI MELCHER

GENERATING FUNCTIONS OF CAUCHYÐSTIELTJES TYPE FOR ORTHOGONAL POLYNOMIALS

Authors :- MAREK BO?EJKO and NIZAR DEMNI

COMPLEMENTARITY AND THE ALGEBRAIC STRUCTURE OF FOUR-LEVEL QUANTUM SYSTEMS

Authors :- DÉNES PETZ , ANDRÁS SZÁNTÓ and MIHÁLY WEINER

SPECTRA AND BOUND STATES OF THE ENERGY OPERATOR OF TWO-MAGNON SYSTEM IN A NON-HEISENBERG FERROMAGNET WITH SPIN S = 3/2 AND NEAREST-NEIGHBOR INTERACTIONS

Authors :- S. M. TASHPULATOV

GIBBS MEASURES WITH DOUBLE STOCHASTIC INTEGRALS ON A PATH SPACE

Authors :- VOLKER BETZ and FUMIO HIROSHIMA

THE STABILITY OF QUANTUM MARKOV FILTERS

Authors :- RAMON VAN HANDEL

THE THOMPSON GROUP F IS AMENABLE

Authors :- E. T. SHAVGULIDZE

COHOMOLOGY OF THE VIRASOROÐZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS

Authors :- LUIGI ACCARDI and ANDREAS BOUKAS

A MATHEMATICAL APPROACH TO JARZYNSKI'S IDENTITY IN NONEQUILIBRIUM STATISTICAL MECHANICS

Authors :- EVELINA SHAMAROVA

A QUADRATIC REGRESSION PROBLEM FOR TWO-STATE ALGEBRAS WITH AN APPLICATION TO THE CENTRAL LIMIT THEOREM

Authors :- MAREK BO?EJKO and W?ODZIMIERZ BRYC

QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES

Authors :- FENG-YU WANG and BO WU

THE ?-DEFORMED SEGALÐBARGMANN TRANSFORM IS A HALL TYPE TRANSFORM

Authors :- STEPHEN BRUCE SONTZ

COMBINATORIAL RELATION BETWEEN FREE CUMULANTS AND JACOBI PARAMETERS

Authors :- WOJCIECH M?OTKOWSKI

AN ERGODIC THEOREM FOR QUANTUM DIAGONAL MEASURES

Authors :- FRANCESCO FIDALEO

GROWTH ESTIMATES FOR DISCRETE QUANTUM GROUPS

Authors :- TEODOR BANICA and ROLAND VERGNIOUX

ON FINITE ABSOLUTE CONTINUITY OF MEASURES RELATED TO WIENER MEASURE

Authors :- G. V. RIABOV

A NOTE ON VARIATIONAL SOLUTIONS TO SPDE PERTURBED BY GAUSSIAN NOISE IN A GENERAL CLASS

Authors :- MICHAEL RÖCKNER and YI WANG

FINITE GEOMETRIES WITH QUBIT OPERATORS

Authors :- AMBAR N. SENGUPTA

THE ASYMMETRIC EXCLUSION QUANTUM MARKOV SEMIGROUP

Authors :- LEOPOLDO PANTALEÓN-MARTÍNEZ and ROBERTO QUEZADA

LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS

Authors :- EUGENE LYTVYNOV and IRINA RODIONOVA

THE CONSTRUCTION OF SUBORDINATED PROBABILITY MEASURES ON ? ASSOCIATED WITH THE JACOBIÐSZEG… PARAMETERS

Authors :- NOBUHIRO ASAI

STRONG SOLUTIONS FOR STOCHASTIC POROUS MEDIA EQUATIONS WITH JUMPS

Authors :- VIOREL BARBU and CARLO MARINELLI

DELTA FUNCTIONS OF OBSERVABLES AND RADONÐNIKODYM DERIVATIVES OF SPECTRAL MEASURES

Authors :- CAISHI WANG

COMPOSITION OPERATORS ON HAAGERUP Lp-SPACES

Authors :- S. GOLDSTEIN and L. E. LABUSCHAGNE

HILBERT SPACE OVER COMPLEX HYPERBOLIC NUMBERS AND HYPER-TRIGONOMETRIC INTERFERENCE

Authors :- A. KHRENNIKOV

HOPF-ALGEBRAIC ASPECTS OF ITERATED STOCHASTIC INTEGRALS

Authors :- R. L. HUDSON

A REMARK ON THE RENORMALIZED SQUARE OF THE SOLUTION OF THE STOCHASTIC HEAT EQUATION AND ON ITS ASSOCIATED EVOLUTION

Authors :- ALBERTO LANCONELLI

ON QUANTUM SEMIGROUP ACTIONS ON FINITE QUANTUM SPACES

Authors :- PIOTR MIKO?AJ SO?TAN

THE REPRESENTATION OF STRONGLY CONTINUOUS OPERATOR SEMIGROUPS ON VECTOR BUNDLES AS HIDA DISTRIBUTIONS

Authors :- BATU GÜNEYSU

INCLUSION SYSTEMS AND AMALGAMATED PRODUCTS OF PRODUCT SYSTEMS

Authors :- B. V. RAJARAMA BHAT and MITHUN MUKHERJEE

LOG-HARNACK INEQUALITY FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES AND ITS CONSEQUENCES

Authors :- MICHAEL RÖCKNER and FENG-YU WANG

ON THE LOW-TEMPERATURE BEHAVIOR OF THE INFINITE-VOLUME IDEAL BOSE GAS

Authors :- KARL-HEINZ FICHTNER , KEI INOUE and MASANORI OHYA

STOCHASTIC PROPERTIES OF DEGENERATED QUANTUM SYSTEMS

Authors :- VSEVOLOD Zh. SAKBAEV

INVARIANCE OF SUBSPACES UNDER THE SOLUTION FLOW OF SPDE

Authors :- WEI LIU

MULTIPLE MARKOV GENERALIZED GAUSSIAN PROCESSES AND THEIR DUALITIES

Authors :- SI SI

EXISTENCE, UNIQUENESS AND REGULARITY w.r.t. THE INITIAL CONDITION OF MILD SOLUTIONS OF SPDEs DRIVEN BY POISSON NOISE

Authors :- CLAUDIA INGRID PRÉVÔT

QUANTUM MARKOV FIELDS ON GRAPHS

Authors :- LUIGI ACCARDI , HIROMICHI OHNO and FARRUKH MUKHAMEDOV

AN APPLICATION OF THE SEGALÐBARGMANN TRANSFORM TO THE CHARACTERIZATION OF LƒVY WHITE NOISE MEASURES

Authors :- YUH-JIA LEE and HSIN-HUNG SHIH

ON THE LOCAL STRUCTURE OF THE REPRESENTATION OF A LOCAL GAUGE GROUP

Authors :- ANDO HIROSHI

REMARKS ON THE FREE RELATIVE ENTROPY AND THE FREE FISHER INFORMATION DISTANCE

Authors :- HIROAKI YOSHIDA

PROBABILITY DISTRIBUTIONS ATTACHED TO GENERALIZED BARGMANNÐFOCK SPACES IN THE COMPLEX PLANE

Authors :- ZOUHAÏR MOUAYN and AHMED TOUHAMI

WELL-POSEDNESS OF FOKKERÐPLANCK TYPE EQUATIONS ON THE WIENER SPACE

Authors :- DEJUN LUO

DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS

Authors :- SH. A. AYUPOV and K. K. KUDAYBERGENOV

A SIMPLE PROOF FOR MONOTONE CLT

Authors :- HAYATO SAIGO

BEST CONSTANTS IN NORMS OF RETARDED WICK PRODUCTS

Authors :- AUREL I. STAN

ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS

Authors :- CARLO MARINELLI and MICHAEL RÖCKNER

LAGRANGIAN FEYNMAN FORMULAS FOR SECOND-ORDER PARABOLIC EQUATIONS IN BOUNDED AND UNBOUNDED DOMAINS

Authors :- YANA A. BUTKO , MARTIN GROTHAUS and OLEG G. SMOLYANOV

ERGODIC PROPERTIES OF BOGOLIUBOV AUTOMORPHISMS IN FREE PROBABILITY

Authors :- FRANCESCO FIDALEO and FARRUKH MUKHAMEDOV

THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR

Authors :- AMEUR DHAHRI , FRANCO FAGNOLA and ROLANDO REBOLLEDO

WHITE NOISE LƒVYÐMEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES

Authors :- LUIGI ACCARDI , ABDESSATAR BARHOUMI and ANIS RIAHI

bm-INDEPENDENCE AND bm-CENTRAL LIMIT THEOREMS ASSOCIATED WITH SYMMETRIC CONES

Authors :- JANUSZ WYSOCZA?SKI

FLEMINGÐVIOT PROCESSES IN AN ENVIRONMENT

Authors :- HUI HE

LIFTINGS OF COVARIANT REPRESENTATIONS OF W*-CORRESPONDENCES

Authors :- SANTANU DEY

EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE

Authors :- LUIGI ACCARDI , UN CIG JI and KIMIAKI SAITÔ

UNIQUENESS OF DECOMPOSITIONS OF SKOROHOD-SEMIMARTINGALES

Authors :- GIULIA DI NUNNO , BERNT ØKSENDAL , OLIVIER MENOUKEU PAMEN and FRANK PROSKE

OPTIMAL GAUSSIAN DENSITY ESTIMATES FOR A CLASS OF STOCHASTIC EQUATIONS WITH ADDITIVE NOISE

Authors :- DAVID NUALART and LLUÍS QUER-SARDANYONS

ERGODICITY FOR THE PHASE-FIELD EQUATIONS PERTURBED BY GAUSSIAN NOISE

Authors :- VIOREL BARBU and GIUSEPPE DA PRATO

LARGE DEVIATIONS FOR INHOMOGENEOUS SYSTEMS

Authors :- JINWEN CHEN

CONCENTRATION INEQUALITIES FOR GIBBS MEASURES

Authors :- IOANNIS PAPAGEORGIOU

TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTIONS

Authors :- TORBEN FATTLER and MARTIN GROTHAUS

FEYNMAN FORMULAS FOR AN INFINITE-DIMENSIONAL ??-ADIC HEAT TYPE EQUATION

Authors :- OLGA BELOSHAPKA

BOSEÐEINSTEIN CONDENSATION ON INHOMOGENEOUS AMENABLE GRAPHS

Authors :- FRANCESCO FIDALEO , DANIELE GUIDO and TOMMASO ISOLA

BURGERS EQUATION AND KOLMOGOROVÐPETROVSKYÐPISKUNOV EQUATION ON MANIFOLDS

Authors :- S. E. MATSKEVICH

AN INFINITE ELEMENT MODEL TO STUDY TEMPERATURE VARIATIONS DURING WOUND HEALING PROCESS AFTER PLASTIC SURGERY

Authors :- MANISHA JAIN and MADHVI SHAKYA

GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS

Authors :- TOSHIMITSU TAKAESU

ON STOCHASTIC GENERALIZED FUNCTIONS

Authors :- PEDRO CATUOGNO and CHRISTIAN OLIVERA

HARNACK INEQUALITIES AND APPLICATIONS FOR MULTIVALUED STOCHASTIC EVOLUTION EQUATIONS

Authors :- SHUN-XIANG OUYANG

QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS

Authors :- RASUL GANIKHODZHAEV , FARRUKH MUKHAMEDOV and UTKIR ROZIKOV

SUFFICIENT CONDITION FOR THE EXISTENCE OF INVARIANT STATES FOR THE ASYMMETRIC EXCLUSION QMS

Authors :- JULIO CESAR GARCÍA , ROBERTO QUEZADA and LEOPOLDO PANTALEÓN-MARTÍNEZ

POLYNOMIALS EXPANSIONS FOR SOLUTION OF WAVE BESSEL EQUATION IN QUANTUM CALCULUS

Authors :- AKRAM NEMRI and AHMED FITOUHI

PROBABILITY MEASURES ON ? ARISING FROM THE JACOBIÐSZEG… PARAMETERS FOR CONTINUOUS DUAL HAHN POLYNOMIALS

Authors :- NOBUHIRO ASAI

A H…LDERÐYOUNGÐLIEB INEQUALITY FOR NORMS OF GAUSSIAN WICK PRODUCTS

Authors :- PAOLO DA PELO , ALBERTO LANCONELLI and AUREL I. STAN

ASYMPTOTIC SPECTRAL ANALYSIS OF A GENERALIZED N-CUBE BY A QUANTUM PROBABILISTIC METHOD

Authors :- JUN KURIHARA and YUJI HIBINO

REPRESENTATIONS OF LIE ALGEBRAS BUILT OVER HILBERT SPACE

Authors :- PALLE E. T. JORGENSEN

ON QUANTUM MARKOV CHAINS ON CAYLEY TREE I: UNIQUENESS OF THE ASSOCIATED CHAIN WITH XY-MODEL ON THE CAYLEY TREE OF ORDER TWO

Authors :- LUIGI ACCARDI , FARRUKH MUKHAMEDOV and MANSOOR SABUROV

CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS

Authors :- TAKAHIRO HASEBE

BACKWARD SDEs AND SOBOLEV SOLUTIONS FOR SEMILINEAR PARABOLIC PDEs WITH SINGULAR COEFFICIENTS

Authors :- TUSHENG ZHANG and QIKANG RAN

STOCHASTIC QUASI-GEOSTROPHIC EQUATION

Authors :- MICHAEL RÖCKNER , RONGCHAN ZHU and XIANGCHAN ZHU

OCCUPATION TIMES OF SUBCRITICAL BRANCHING IMMIGRATION SYSTEMS WITH MARKOV MOTION, CLT AND DEVIATION PRINCIPLES

Authors :- PIOTR MI?O?

ASYMPTOTIC EXPANSIONS FOR THE GAUSSIAN UNITARY ENSEMBLE

Authors :- UFFE HAAGERUP and STEEN THORBJØRNSEN

QWN-EULER OPERATOR AND ASSOCIATED CAUCHY PROBLEM

Authors :- ABDESSATAR BARHOUMI , HABIB OUERDIANE and HAFEDH RGUIGUI

ERGODICITY FOR INFINITE PARTICLE SYSTEMS WITH LOCALLY CONSERVED QUANTITIES

Authors :- J. INGLIS , M. NEKLYUDOV and B. ZEGARLI?SKI

THE SUPPORT THEOREM FOR THE GAUSSÐRADON TRANSFORM

Authors :- JEREMY J. BECNEL

GENERALIZED COVARIATION AND EXTENDED FUKUSHIMA DECOMPOSITION FOR BANACH SPACE-VALUED PROCESSES: APPLICATIONS TO WINDOWS OF DIRICHLET PROCESSES

Authors :- CRISTINA DI GIROLAMI and FRANCESCO RUSSO

SPECIAL VALUES OF SOME EXTENSIONS OF ZETA FUNCTION VIA BETA DISTRIBUTIONS

Authors :- NORIYOSHI SAKUMA and RYOICHI SUZUKI

GEOMETRY OF COHERENT STATES OF CCR ALGEBRAS

Authors :- SHIGERU YAMAGAMI

STRONG FELLER CONTINUITY OF FELLER PROCESSES AND SEMIGROUPS

Authors :- RENÉ L. SCHILLING and JIAN WANG

NEW TOPOLOGICAL ?-ALGEBRAS WITH APPLICATIONS IN LINEAR SYSTEMS THEORY

Authors :- DANIEL ALPAY and GUY SALOMON

ON THE QUADRATIC FOCK FUNCTOR

Authors :- AMEUR DHAHRI

A JOINT SPECTRAL CHARACTERIZATION OF C* INDEPENDENCE

Authors :- SHUILIN JIN , LI XU , QINGHUA JIANG and GUANGREN DUAN

ON SUMMABLE, POSITIVE POISSONÐMEHLER KERNELS BUILT OF AL-SALAMÐCHIHARA AND RELATED POLYNOMIALS

Authors :- PAWE? J. SZAB?OWSKI

LAGRANGIAN AND HAMILTONIAN FEYNMAN FORMULAE FOR SOME FELLER SEMIGROUPS AND THEIR PERTURBATIONS

Authors :- YANA A. BUTKO , RENÉ L. SCHILLING and OLEG G. SMOLYANOV

GENERIC QUANTUM MARKOV SEMIGROUPS, CYCLE DECOMPOSITION AND DEVIATION FROM EQUILIBRIUM

Authors :- FRANCO FAGNOLA and VERONICA UMANITÀ

DILATION OF ARBITRARY SYMMETRIC QUANTUM DYNAMICAL SEMIGROUPS ON

Authors :- BISWARUP DAS

WICK CALCULUS FOR THE SQUARE OF A GAUSSIAN RANDOM VARIABLE WITH APPLICATION TO YOUNG AND HYPERCONTRACTIVE INEQUALITIES

Authors :- ALBERTO LANCONELLI and LUIGI SPORTELLI

REPRESENTATIONS OF sl(2) IN THE BOOLEAN LATTICE, AND THE HAMMING AND JOHNSON SCHEMES

Authors :- PHILIP FEINSILVER

DERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIERÐSTOKES/BURGERS EQUATIONS

Authors :- FENG-YU WANG and LIHU XU

A NEW LOOK AT THE ARCSINE LAW AND "QUANTUM-CLASSICAL CORRESPONDENCE"

Authors :- HAYATO SAIGO

FREE INFINITE DIVISIBILITY FOR ULTRASPHERICALS

Authors :- OCTAVIO ARIZMENDI and SERBAN T. BELINSCHI

DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES

Authors :- A. KRASNENKER

INTERACTING FOCK SPACES AND THE MOMENTS OF THE LIMIT DISTRIBUTIONS FOR QUANTUM RANDOM WALKS

Authors :- CHUL KI KO and HYUN JAE YOO

NONLINEAR MARKOV SEMIGROUPS ON C*-ALGEBRAS

Authors :- P. ?UGIEWICZ , R. OLKIEWICZ and B. ZEGARLINSKI

ASYMPTOTIC CRAMƒR TYPE DECOMPOSITION FOR WIENER AND WIGNER INTEGRALS

Authors :- SOLESNE BOURGUIN and JEAN-CHRISTOPHE BRETON

INTRINSIC BRANCHING STRUCTURE WITHIN (L-1) RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS

Authors :- WENMING HONG and HUAMING WANG

OPERATOR CALCULUS AND INVERTIBLE CLIFFORD APPELL SYSTEMS: THEORY AND APPLICATION TO THE n-PARTICLE FERMION ALGEBRA

Authors :- RENÉ SCHOTT and G. STACEY STAPLES

ITïÐWIENER CHAOS AND THE HODGE DECOMPOSITION ON AN ABSTRACT WIENER SPACE

Authors :- YUXIN YANG

ON STOCHASTIC DOMINANCE OF NILPOTENT OPERATORS

Authors :- SYEDA RABAB MUDAKKAR and SERGEY UTEV

A STRUCTURE THEOREM FOR THE SPACE

Authors :- BISHNU PRASAD DHUNGANA

THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES

Authors :- NOBUHIRO ASAI , IZUMI KUBO and HUI-HSIUNG KUO

DISTANCE-k GRAPHS OF HYPERCUBE AND q-HERMITE POLYNOMIALS

Authors :- HUN HEE LEE and NOBUAKI OBATA

THE QUANTUM DECOMPOSITION OF RANDOM VARIABLES WITHOUT MOMENTS

Authors :- LUIGI ACCARDI , HABIB REBEI and ANIS RIAHI

STOCHASTIC WAVE EQUATIONS WITH NONLINEAR DAMPING AND SOURCE TERMS

Authors :- HONGJUN GAO , FEI LIANG and BOLING GUO

ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS

Authors :- DMITRI FINKELSHTEIN , YURI KONDRATIEV and OLEKSANDR KUTOVIY

NONCLASSICAL STATES IN INTERACTING FOCK SPACE

Authors :- P. K. DAS and PRASANTA HALDAR

A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS

Authors :- JORGE R. BOLAÑOS-SERVIN and ROBERTO QUEZADA

PROBABILISTIC DERIVATION OF A q-POLYNOMIALS TRANSFORMATION FORMULA

Authors :- MINGJIN WANG

AN ALGEBRAIC STRUCTURE FOR ONE-DIMENSIONAL QUANTUM WALKS AND A NEW PROOF OF THE WEAK LIMIT THEOREM

Authors :- TATSUYA TATE

A STOCHASTIC GRONWALL LEMMA

Authors :- MICHAEL SCHEUTZOW

THE EXOTIC (HIGHER ORDER LƒVY) LAPLACIANS GENERATE THE MARKOV PROCESSES GIVEN BY DISTRIBUTION DERIVATIVES OF WHITE NOISE

Authors :- LUIGI ACCARDI , UN CIG JI and KIMIAKI SAITÔ

A CLOSER LOOK AT QUANTUM CONTROL LANDSCAPES AND THEIR IMPLICATION FOR CONTROL OPTIMIZATION

Authors :- PIERRE DE FOUQUIERES and SOPHIE G. SCHIRMER

A H…LDER INEQUALITY FOR NORMS OF POISSONIAN WICK PRODUCTS

Authors :- ALBERTO LANCONELLI and AUREL I. STAN

A CLASS OF FRACTIONAL BROWNIAN FIELDS FROM BRANCHING SYSTEMS AND THEIR REGULARITY PROPERTIES

Authors :- YUQIANG LI and YIMIN XIAO

STOCHASTIC INTEGRATION WITH RESPECT TO THE CYLINDRICAL WIENER PROCESS VIA REGULARIZATION

Authors :- CHRISTIAN OLIVERA

UNBOUNDED TAME QUASIREPRESENTATIONS WITH COMMUTATIVE DISCREPANCIES FOR AMENABLE GROUPS

Authors :- A. I. SHTERN

ON A SYSTEM OF MEASUREMENTS WHICH IS COMPLETE IN A STATISTICAL SENSE

Authors :- ANDRZEJ KOMISARSKI and ADAM PASZKIEWICZ

On the asymptotic behavior of generic quantum Markov semigroups

Authors :- R. Carbone , E. Sasso and V. Umanità

A homeomorphism relating path spaces of stochastic processes with values in ?? respectively (S1)?

Authors :- Sergio Albeverio , Michael Röckner and Minoru W. Yoshida

A mean ergodic theorem of an amenable group action

Authors :- Anilesh Mohari

A version of the HšrmanderÐMalliavin theorem in 2-smooth Banach spaces

Authors :- Evelina Shamarova

Relative ergodic properties of C*-dynamical systems

Authors :- Rocco Duvenhage and Farrukh Mukhamedov

Stochastic calculus for fractional LŽvy processes

Authors :- Kai He

Quantum stochastic dynamics in multi-photon optics

Authors :- Ricardo Castro Santis

Stochastic integration with respect to cylindrical LŽvy processes in Hilbert spaces: An L2 approach

Authors :- Markus Riedle

Nonconventional ergodic theorems for quantum dynamical systems

Authors :- Francesco Fidaleo

Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise

Authors :- Rongchan Zhu and Xiangchan Zhu

On stochastic integration for volatility modulated Brownian-driven Volterra processes via white noise analysis

Authors :- Ole E. Barndorff-Nielsen , Fred Espen Benth and Benedykt Szozda

Projective limits of quantum symmetry groups and the doubling construction for Hopf algebras

Authors :- Adam Skalski and Piotr M. So?tan

Generalized frames for operators in Hilbert spaces

Authors :- Mohammad Sadegh Asgari and Hamidreza Rahimi

Probability distributions with binomial moments

Authors :- Wojciech M?otkowski and Karol A. Penson

Befriending AskeyÐWilson polynomials

Authors :- Pawe? J. Szab?owski

The combinatorics of an algebraic class of easy quantum groups

Authors :- Sven Raum and Moritz Weber

Differentiability of spectral functions for nearly stable processes and large deviations

Authors :- Yoshihiro Tawara and Kaneharu Tsuchida

Powers of quantum white noise derivatives

Authors :- Aymen Ettaieb , Habib Ouerdiane and Hafedh Rguigui

New characterization of two-state normal distribution

Authors :- Wiktor Ejsmont

Support projection of state and a quantum LŽvyÐAustinÐOrnstein theorem

Authors :- Skander Hachicha

Dual Lukacs regressions of negative orders for noncommutative variables

Authors :- Kamil Szpojankowski

The free logarithmic Sobolev and the free transportation cost inequalities by time integrations

Authors :- Aya Nemoto and Hiroaki Yoshida

The Malliavin calculus and hypoelliptic differential operators

Authors :- Denis Bell

Glauber dynamics on the cycles: Spectral distribution of the generator

Authors :- Chul Ki Ko , Sang Don Park and Hyun Jae Yoo

Second quantisation for skew convolution products of infinitely divisible measures

Authors :- David Applebaum and Jan van Neerven

Classification and GNS-construction for general universal products

Authors :- Malte Gerhold and Stephanie Lachs

Forward integration, convergence and non-adapted pointwise multipliers

Authors :- Matthijs Pronk and Mark Veraar

Periodic Gibbs measures for models with uncountable set of spin values on a Cayley tree

Authors :- U. A. Rozikov and F. H. Haydarov

Some non-equilibrium invariant states for the asymmetric exclusion QMS at level one

Authors :- Julio C. García and Fernando Guerrero-Poblete

Feynman approximation to integrals with respect to Brownian sheet on Lie groups

Authors :- A. A. Kalinichenko

Fluctuation limits of a locally regulated population and generalized Langevin equations

Authors :- Mladen Savov and Shi-Dong Wang

The Hamiltonian path integrand for the charged particle in a constant magnetic field as white noise distribution

Authors :- Wolfgang Bock and Martin Grothaus

Logarithmic Sobolev inequalities in non-commutative algebras

Authors :- Raffaella Carbone and Andrea Martinelli

Monotone and boolean unitary Brownian motions

Authors :- Tarek Hamdi

Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift

Authors :- Andrei Khrennikov , Sergei Kozyrev and Alf Månsson

Information geometric nonlinear filtering

Authors :- Nigel J. Newton

Conditionally free semi-stable distributions

Authors :- Anna Dorota Krystek and ?ukasz Jan Wojakowski

The ?-KMS adjoint and time reversed quantum Markov semigroups

Authors :- Jorge R. Bolaños-Servin and Roberto Quezada

On commutativity of weighted Hankel operators and their spectra

Authors :- Gopal Datt and Deepak Kumar Porwal

Construction of a free LŽvy process as high-dimensional limit of a Brownian motion on the unitary group

Authors :- Michaël Ulrich

The Gaussian Radon transform and machine learning

Authors :- Irina Holmes and Ambar N. Sengupta

Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups

Authors :- Marek Bo?ejko and Wojciech Bo?ejko

Stochastic quasi-linear partial differential equations of evolution

Authors :- B. P. W. Fernando and S. S. Sritharan

Invariant measure for the Vasicek interest rate model in the HeathÐJarrowÐMortonÐMusiela framework

Authors :- Francesco Cordoni and Luca Di Persio

A sharp interpolation between the Hšlder and Gaussian Young inequalities

Authors :- Paolo Da Pelo , Alberto Lanconelli and Aurel I. Stan

Construction of Levi processes on path spaces of Lie groups

Authors :- A. A. Kalinichenko

The algebraic structure of quantum partial isometries

Authors :- Teodor Banica

Connes embeddability of graph products

Authors :- Martijn Caspers

Central limit theorem for the solution to the heat equation with moving time

Authors :- Junfeng Liu and Ciprian A. Tudor

A note on nonlinear ? -models in noncommutative geometry

Authors :- Hyun Ho Lee

Existence and regularity of the density for solutions of stochastic differential equations with boundary noise

Authors :- Stefano Bonaccorsi and Margherita Zanella

Strong convergence for reduced free products

Authors :- Gilles Pisier

On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type

Authors :- Luigi Accardi , Franco Fagnola and Roberto Quezada

De RhamÐHodge decomposition and vanishing of harmonic forms by derivation operators on the Poisson space

Authors :- Nicolas Privault

Free probability aspect of irreducible meandric systems, and some related observations about meanders

Authors :- Alexandru Nica

Diagonal couplings of quantum Markov chains

Authors :- Burkhard Kümmerer and Kay Schwieger

Higher powers of analytical operators and associated ?-Lie algebras

Authors :- Aymen Ettaieb , Narjess Turki Khalifa , Habib Ouerdiane and Hafedh Rguigui

Parametric R -norm directed-divergence convex function

Authors :- Dhanesh Garg and Satish Kumar

An information complexity index for probability measures on ? with all moments

Authors :- Luigi Accardi , Abdessatar Barhoumi and Mohamed Rhaima

Stochastic differential games with inside information

Authors :- Olfa Draouil and Bernt Øksendal

On the spectral distribution of distance- k k graph of free product graphs

Authors :- Octavio Arizmendi and Tulio Gaxiola

Transformations of Wiener measure and orthogonal expansions

Authors :- Andrey A. Dorogovtsev and Georgii Riabov

Family of measures on a space of curves that are quasi-invariant with respect to some action of diffeomorphisms group

Authors :- Evgenii Dmitrievich Romanov

A spectral-based numerical method for Kolmogorov equations in Hilbert spaces

Authors :- Francisco Delgado-Vences and Franco Flandoli

Lipschitz and Besov spaces in quantum calculus

Authors :- Akram Nemri and Belgacem Selmi

Generalized WignerÐYanaseÐDyson information revisited

Authors :- Liang Cai

Gaussian estimates on networks with dynamic stochastic boundary conditions

Authors :- Francesco Cordoni and Luca Di Persio

Exponential ergodicity for non-Lipschitz multivalued stochastic differential equations with LŽvy jumps

Authors :- Yue Guan and Jing Wu

Fractional quantum integral operator with general kernels and applications

Authors :- Azizollah Babakhani , Abdolali Neamaty , Milad Yadollahzadeh and Hamzeh Agahi

Identification of the theory of orthogonal polynomials in d -indeterminates with the theory of 3 -diagonal symmetric interacting Fock spaces on ?d

Authors :- Luigi Accardi , Abdessatar Barhoumi and Ameur Dhahri

On the fourth moment theorem for complex multiple WienerÐIt™ integrals

Authors :- Yong Chen and Yong Liu

Two RamanujanÕs formulas and normal distribution

Authors :- Mingjin Wang

Analytic characterizations of infinite dimensional distributions

Authors :- Luigi Accardi , Un Cig Ji and Kimiaki Saitô

Stochastic LŽvy differential operators and YangÐMills equations

Authors :- Boris O. Volkov

Large deviation principle for semilinear stochastic evolution equations with Poisson noise

Authors :- Hassan Dadashi

Non-commutative stochastic independence and cumulants

Authors :- Sarah Manzel and Michael Schürmann

d d -dimensional orthogonal polynomials: Commutator theorem and other results

Authors :- Luigi Accardi and Abdallah Dhahri

Structure of generic quantum Markov semigroup

Authors :- R. Carbone , E. Sasso and V. Umanità

From discrete to continuous monotone C* -algebras via quantum central limit theorems

Authors :- Vitonofrio Crismale , Francesco Fidaleo and Yun Gang Lu

Free white noise flows

Authors :- Luigi Accardi and Wided Ayed

Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach

Authors :- V. Kontis , M. Ottobre and B. Zegarlinski

The chordal Loewner equation and monotone probability theory

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Asymptotics of stochastic 2D hydrodynamical type systems in unbounded domains

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