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Eugene Lytvynov
Eugene Lytvynov
Verified email at swansea.ac.uk
Title
Cited by
Cited by
Year
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes
E Lytvynov
Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 (01 …, 2003
892003
Operators of gamma white noise calculus
YG Kondratiev, EW Lytvynov
Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 (03 …, 2000
722000
Glauber dynamics of continuous particle systems
Y Kondratiev, E Lytvynov
Annales de l'IHP Probabilités et statistiques 41 (4), 685-702, 2005
712005
Polynomials of Meixner's type in infinite dimensions—Jacobi fields and orthogonality measures
E Lytvynov
Journal of Functional Analysis 200 (1), 118-149, 2003
642003
Multiple Wiener integrals and non-Gaussian white noises: a Jacobi field approach
EW Lytvynov
Methods of Functional analysis and Topology 1 (01), 61-85, 1995
551995
Equilibrium Kawasaki dynamics of continuous particle systems
Y Kondratiev, E Lytvynov, M Röckner
Infinite Dimensional Analysis, Quantum Probability and Related Topics 10 (02 …, 2007
492007
Fermion and boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density
E Lytvynov
Reviews in Mathematical Physics 14 (10), 1073-1098, 2002
402002
A generalization of Gaussian white noise analysis
YM Berezansky, VO Livinsky, EW Lytvynov
Methods of Functional Analysis and Topology 1 (01), 28-55, 1995
401995
On a spectral representation for correlation measures in configuration space analysis
YM Berezansky, YG Kondratiev, T Kuna, E Lytvynov
arXiv preprint math/0608343, 2006
392006
Meixner class of non-commutative generalized stochastic processes with freely independent values I. A characterization
M Bożejko, E Lytvynov
Communications in Mathematical Physics 292 (1), 99-129, 2009
352009
Laplace operators on differential forms over configuration spaces
S Albeverio, A Daletskii, E Lytvynov
Journal of Geometry and Physics 37 (1-2), 15-46, 2001
342001
Laplace operators on the cone of Radon measures
Y Kondratiev, E Lytvynov, A Vershik
Journal of Functional Analysis 269 (9), 2947-2976, 2015
332015
Wick calculus on spaces of generalized functions of compound Poisson white noise
EW Lytvynov, AL Rebenko, GV Shchepan'ur
Reports on Mathematical Physics 39 (2), 219-248, 1997
321997
Non-equilibrium stochastic dynamics in continuum: The free case
Y Kondratiev, E Lytvynov, M Röckner
arXiv preprint math/0701736, 2007
272007
The Jacobi field of a Lévy process
YM Berezansky, E Lytvynov, DA Mierzejewski
Ukrainian Mathematical Journal 55 (5), 853-858, 2003
262003
De Rham cohomology of configuration spaces with Poisson measure
S Albeverio, A Daletskii, E Lytvynov
Journal of Functional Analysis 185 (1), 240-273, 2001
252001
A model of the term structure of interest rates based on Lévy fields
S Albeverio, E Lytvynov, A Mahnig
Stochastic Processes and their Applications 114 (2), 251-263, 2004
242004
Laplace operators in deRham complexes associated with measures on configuration spaces
S Albeverio, A Daletskii, Y Kondratiev, E Lytvynov
Journal of Geometry and Physics 47 (2-3), 259-302, 2003
242003
Noncommutative Lévy processes for generalized (particularly anyon) statistics
M Bożejko, E Lytvynov, J Wysoczański
Communications in Mathematical Physics 313 (2), 535-569, 2012
232012
Scaling limit of stochastic dynamics in classical continuous systems
M Grothaus, YG Kondratiev, E Lytvynov, M Röckner
The Annals of Probability 31 (3), 1494-1532, 2003
222003
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