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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
912003
Glauber dynamics of continuous particle systems
Y Kondratiev, E Lytvynov
Annales de l'IHP Probabilités et statistiques 41 (4), 685-702, 2005
702005
Operators of gamma white noise calculus
YG Kondratiev, EW Lytvynov
Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 (03 …, 2000
682000
Polynomials of Meixner's type in infinite dimensions—Jacobi fields and orthogonality measures
E Lytvynov
Journal of Functional Analysis 200 (1), 118-149, 2003
632003
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
472007
A generalization of Gaussian white noise analysis
YM Berezansky, VO Livinsky, EW Lytvynov
Methods of Functional Analysis and Topology 1 (01), 28-55, 1995
411995
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
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
382002
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
332001
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
331997
Laplace operators on the cone of Radon measures
Y Kondratiev, E Lytvynov, A Vershik
Journal of Functional Analysis 269 (9), 2947-2976, 2015
312015
Non-equilibrium stochastic dynamics in continuum: The free case
Y Kondratiev, E Lytvynov, M Röckner
arXiv preprint math/0701736, 2007
262007
The Jacobi field of a Lévy process
YM Berezansky, E Lytvynov, DA Mierzejewski
Ukrainian Mathematical Journal 55 (5), 853-858, 2003
252003
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
Noncommutative Lévy processes for generalized (particularly anyon) statistics
M Bożejko, E Lytvynov, J Wysoczański
Communications in Mathematical Physics 313 (2), 535-569, 2012
232012
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
232003
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
212003
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