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Lytvynov, Eugene W.

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Author ID: lytvynov.eugene-w Recent zbMATH articles by "Lytvynov, Eugene W."
Published as: Litvinov, E. V.; Lytvynov, E.; Lytvynov, E. W.; Lytvynov, Eugen; Lytvynov, Eugene; Lytvynov, Eugene W.
Homepage: http://www.swansea.ac.uk/staff/science/maths/e.lytvynov/
External Links: Math-Net.Ru · ORCID
Documents Indexed: 62 Publications since 1993

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 284 times in 154 Documents Cited by Year
Glauber dynamics of continuous particle systems. Zbl 1085.60074
Kondratiev, Yuri; Lytvynov, Eugene
26
2005
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes. Zbl 1048.60037
Lytvynov, Eugene
20
2003
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
18
2007
Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization. Zbl 1187.46052
Bożejko, Marek; Lytvynov, Eugene
16
2009
Polynomials of Meixner’s type in infinite dimensions: Jacobi fields and orthogonality measures. Zbl 1020.60041
Lytvynov, Eugene
15
2003
Fermion and Boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density. Zbl 1041.81076
Lytvynov, Eugene
12
2002
On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050
Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene
11
1999
Wick calculus on spaces of generalized functions of compound Poisson white noise. Zbl 0892.60051
Lytvynov, Eugene W.; Rebenko, Alexei L.; Shchepan’uk, Gennadi V.
11
1997
Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics. Zbl 1199.60342
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Lytvynov, Eugene W.
9
2007
A model of the term structure of interest rates based on Lévy fields. Zbl 1151.91471
Albeverio, Sergio; Lytvynov, Eugene; Mahnig, Andrea
9
2004
Laplace operators on differential forms over configuration spaces. Zbl 0969.60055
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene
9
2001
Operators of gamma white noise calculus. Zbl 1081.60536
Kondratiev, Yuri G.; Lytvynov, Eugene W.
9
2000
An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions. Zbl 1351.46062
Bożejko, M.; Lytvynov, E. W.; Rodionova, I. V.
8
2015
Noncommutative Lévy processes for generalized (particularly anyon) statistics. Zbl 1260.46045
Bożejko, Marek; Lytvynov, Eugene; Wysoczański, Janusz
8
2012
Scaling limit of stochastic dynamics in classical continuous systems. Zbl 1053.60001
Grothaus, Martin; Kondratiev, Yuri G.; Lytvynov, Eugene; Röckner, Michael
8
2003
The Jacobi field of a Lévy process. Zbl 1038.47046
Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A.
8
2003
Multiple Wiener integrals and non-Gaussian white noises: A Jacobi field approach. Zbl 0871.60034
Lytvynov, E. W.
8
1995
Meixner class of non-commutative generalized stochastic processes with freely independent values. II: The generating function. Zbl 1218.46038
Bożejko, Marek; Lytvynov, Eugene
6
2011
On the correlation measure of a family of commuting Hermitian operators with applications to particle densities of the quasi-free representations of the CAR and CCR. Zbl 1231.47004
Lytvynov, Eugene; Mei, Lin
6
2007
De Rham cohomology of configuration spaces with Poisson measure. Zbl 0989.60049
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene
6
2001
Laplace operators on the cone of Radon measures. Zbl 1327.60105
Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly
5
2015
Infinite interacting diffusion particles. I: Equilibrium process and its scaling limit. Zbl 1090.60078
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
5
2006
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit. Zbl 1272.82031
Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr; Lytvynov, Eugene
4
2011
Analysis and geometry on marked configuration spaces. Zbl 0991.60037
Albeverio, Sergio; Kondratiev, Yuri; Lytvynov, Eugene; Us, Georgi
4
2000
Wick theorems in non-Gaussian white noise calculus. Zbl 0888.60097
Lytvynov, E. W.; Rebenko, A. L.; Shchepan’uk, G. V.
4
1996
Diffusion approximation for equilibrium Kawasaki dynamics in continuum. Zbl 1157.60085
Kondratiev, Yuri G.; Kutoviy, Oleksandr V.; Lytvynov, Eugene W.
3
2008
Laplace operators in deRham complexes associated with measures on configuration spaces. Zbl 1026.60060
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Lytvynov, Eugene
3
2003
The heat semigroup on configuration spaces. Zbl 1034.47015
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
3
2003
Laplace operators and diffusions in tangent bundles over Poisson spaces. Zbl 0990.58022
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene
3
2000
Analysis and geometry on \({\mathbb R}_{+}\)-marked configuration space. Zbl 0956.58004
Kondratiev, Yuri G.; Lytvynov, Eugene W.; Us, Georgi F.
3
1999
A generalization of Gaussian white noise analysis. Zbl 0870.60037
Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W.
3
1995
Fock representations of \(Q\)-deformed commutation relations. Zbl 1456.81266
Bożejko, Marek; Lytvynov, Eugene; Wysoczański, Janusz
2
2017
Gauge-invariant quasi-free states on the algebra of the anyon commutation relations. Zbl 1361.81143
Lytvynov, Eugene
2
2017
Determinantal point processes with \(J\)-Hermitian correlation kernels. Zbl 1306.60053
Lytvynov, Eugene
2
2013
Binary jumps in continuum. I: Equilibrium processes and their scaling limits. Zbl 1317.82017
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Kutoviy, Oleksandr V.; Lytvynov, Eugene
2
2011
A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes. Zbl 1164.60078
Lytvynov, Eugen; Ohlerich, Nataliya
2
2008
The square of white noise as a Jacobi field. Zbl 1059.60080
Lytvynov, Eugene
2
2004
Euclidean Gibbs states for quantum continuous systems with Boltzmann statistics via cluster expansion. Zbl 0932.82013
Kondratiev, Yu. G.; Lytvynov, E. W.; Rebenko, A. L.
2
1997
An infinite dimensional umbral calculus. Zbl 1414.05049
Finkelshtein, Dmitri; Kondratiev, Yuri; Lytvynov, Eugene; Oliveira, Maria João
1
2019
Approximation of a free Poisson process by systems of freely independent particles. Zbl 1409.46037
Bożejko, Marek; da Silva, José Luís; Kuna, Tobias; Lytvynov, Eugene
1
2018
Equilibrium diffusion on the cone of discrete Radon measures. Zbl 1333.60170
Conache, Diana; Kondratiev, Yuri G.; Lytvynov, Eugene
1
2016
A moment problem for random discrete measures. Zbl 1321.60106
Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene
1
2015
Lowering and raising operators for the free Meixner class of orthogonal polynomials. Zbl 1174.42030
Lytvynov, Eugene; Rodionova, Irina
1
2009
Quantum compound Poisson processes and white noise analysis. Zbl 0903.60032
Lytvynov, E. W.
1
1998
Dual Appell systems in non-Gaussian white noise calculus. Zbl 0929.60035
Lytvynov, E. W.; Us, G. F.
1
1996
An infinite dimensional umbral calculus. Zbl 1414.05049
Finkelshtein, Dmitri; Kondratiev, Yuri; Lytvynov, Eugene; Oliveira, Maria João
1
2019
Approximation of a free Poisson process by systems of freely independent particles. Zbl 1409.46037
Bożejko, Marek; da Silva, José Luís; Kuna, Tobias; Lytvynov, Eugene
1
2018
Fock representations of \(Q\)-deformed commutation relations. Zbl 1456.81266
Bożejko, Marek; Lytvynov, Eugene; Wysoczański, Janusz
2
2017
Gauge-invariant quasi-free states on the algebra of the anyon commutation relations. Zbl 1361.81143
Lytvynov, Eugene
2
2017
Equilibrium diffusion on the cone of discrete Radon measures. Zbl 1333.60170
Conache, Diana; Kondratiev, Yuri G.; Lytvynov, Eugene
1
2016
An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions. Zbl 1351.46062
Bożejko, M.; Lytvynov, E. W.; Rodionova, I. V.
8
2015
Laplace operators on the cone of Radon measures. Zbl 1327.60105
Kondratiev, Yuri; Lytvynov, Eugene; Vershik, Anatoly
5
2015
A moment problem for random discrete measures. Zbl 1321.60106
Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene
1
2015
Determinantal point processes with \(J\)-Hermitian correlation kernels. Zbl 1306.60053
Lytvynov, Eugene
2
2013
Noncommutative Lévy processes for generalized (particularly anyon) statistics. Zbl 1260.46045
Bożejko, Marek; Lytvynov, Eugene; Wysoczański, Janusz
8
2012
Meixner class of non-commutative generalized stochastic processes with freely independent values. II: The generating function. Zbl 1218.46038
Bożejko, Marek; Lytvynov, Eugene
6
2011
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit. Zbl 1272.82031
Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr; Lytvynov, Eugene
4
2011
Binary jumps in continuum. I: Equilibrium processes and their scaling limits. Zbl 1317.82017
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Kutoviy, Oleksandr V.; Lytvynov, Eugene
2
2011
Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization. Zbl 1187.46052
Bożejko, Marek; Lytvynov, Eugene
16
2009
Lowering and raising operators for the free Meixner class of orthogonal polynomials. Zbl 1174.42030
Lytvynov, Eugene; Rodionova, Irina
1
2009
Diffusion approximation for equilibrium Kawasaki dynamics in continuum. Zbl 1157.60085
Kondratiev, Yuri G.; Kutoviy, Oleksandr V.; Lytvynov, Eugene W.
3
2008
A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes. Zbl 1164.60078
Lytvynov, Eugen; Ohlerich, Nataliya
2
2008
Equilibrium Kawasaki dynamics of continuous particle systems. Zbl 1142.60064
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
18
2007
Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics. Zbl 1199.60342
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Lytvynov, Eugene W.
9
2007
On the correlation measure of a family of commuting Hermitian operators with applications to particle densities of the quasi-free representations of the CAR and CCR. Zbl 1231.47004
Lytvynov, Eugene; Mei, Lin
6
2007
Infinite interacting diffusion particles. I: Equilibrium process and its scaling limit. Zbl 1090.60078
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
5
2006
Glauber dynamics of continuous particle systems. Zbl 1085.60074
Kondratiev, Yuri; Lytvynov, Eugene
26
2005
A model of the term structure of interest rates based on Lévy fields. Zbl 1151.91471
Albeverio, Sergio; Lytvynov, Eugene; Mahnig, Andrea
9
2004
The square of white noise as a Jacobi field. Zbl 1059.60080
Lytvynov, Eugene
2
2004
Orthogonal decompositions for Lévy processes with an application to the gamma, Pascal, and Meixner processes. Zbl 1048.60037
Lytvynov, Eugene
20
2003
Polynomials of Meixner’s type in infinite dimensions: Jacobi fields and orthogonality measures. Zbl 1020.60041
Lytvynov, Eugene
15
2003
Scaling limit of stochastic dynamics in classical continuous systems. Zbl 1053.60001
Grothaus, Martin; Kondratiev, Yuri G.; Lytvynov, Eugene; Röckner, Michael
8
2003
The Jacobi field of a Lévy process. Zbl 1038.47046
Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A.
8
2003
Laplace operators in deRham complexes associated with measures on configuration spaces. Zbl 1026.60060
Albeverio, Sergio; Daletskii, Alexei; Kondratiev, Yuri; Lytvynov, Eugene
3
2003
The heat semigroup on configuration spaces. Zbl 1034.47015
Kondratiev, Yuri; Lytvynov, Eugene; Röckner, Michael
3
2003
Fermion and Boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density. Zbl 1041.81076
Lytvynov, Eugene
12
2002
Laplace operators on differential forms over configuration spaces. Zbl 0969.60055
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene
9
2001
De Rham cohomology of configuration spaces with Poisson measure. Zbl 0989.60049
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene
6
2001
Operators of gamma white noise calculus. Zbl 1081.60536
Kondratiev, Yuri G.; Lytvynov, Eugene W.
9
2000
Analysis and geometry on marked configuration spaces. Zbl 0991.60037
Albeverio, Sergio; Kondratiev, Yuri; Lytvynov, Eugene; Us, Georgi
4
2000
Laplace operators and diffusions in tangent bundles over Poisson spaces. Zbl 0990.58022
Albeverio, Sergio; Daletskii, Alexei; Lytvynov, Eugene
3
2000
On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050
Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene
11
1999
Analysis and geometry on \({\mathbb R}_{+}\)-marked configuration space. Zbl 0956.58004
Kondratiev, Yuri G.; Lytvynov, Eugene W.; Us, Georgi F.
3
1999
Quantum compound Poisson processes and white noise analysis. Zbl 0903.60032
Lytvynov, E. W.
1
1998
Wick calculus on spaces of generalized functions of compound Poisson white noise. Zbl 0892.60051
Lytvynov, Eugene W.; Rebenko, Alexei L.; Shchepan’uk, Gennadi V.
11
1997
Euclidean Gibbs states for quantum continuous systems with Boltzmann statistics via cluster expansion. Zbl 0932.82013
Kondratiev, Yu. G.; Lytvynov, E. W.; Rebenko, A. L.
2
1997
Wick theorems in non-Gaussian white noise calculus. Zbl 0888.60097
Lytvynov, E. W.; Rebenko, A. L.; Shchepan’uk, G. V.
4
1996
Dual Appell systems in non-Gaussian white noise calculus. Zbl 0929.60035
Lytvynov, E. W.; Us, G. F.
1
1996
Multiple Wiener integrals and non-Gaussian white noises: A Jacobi field approach. Zbl 0871.60034
Lytvynov, E. W.
8
1995
A generalization of Gaussian white noise analysis. Zbl 0870.60037
Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W.
3
1995
all top 5

Cited by 149 Authors

41 Kondrat’yev, Yuriĭ Grygorovych
31 Lytvynov, Eugene W.
19 Kutoviy, Oleksandr V.
14 Finkelshteĭn, Dmitriĭ Leonidovich
13 Albeverio, Sergio A.
11 Daletskii, Alexei
9 Röckner, Michael
7 Bozejko, Marek
7 Kachanovsky, Nikolai A.
6 Kuna, Tobias
5 Grothaus, Martin
4 Shih, Hsin-Hung
4 Wysoczański, Janusz
4 Zhizhina, Elena Anatol’evna
3 Accardi, Luigi
3 Anshelevich, Michael
3 Berezans’kyĭ, Yuriĭ Makarovych
3 Berns, Christoph
3 Bufetov, Aleksandr Igorevich
3 da Silva, José Luís
3 Di Persio, Luca
3 Kozitsky, Yuri Vasil’evich
3 Mastrogiacomo, Elisa
3 Minlos, Robert Adol’fovich
3 Oliveira, Maria João
3 Riahi, Anis
3 Tamura, Hiroshi
2 Alpay, Daniel Aron
2 Barhoumi, Abdessatar
2 Bo, Lijun
2 Bogolyubov, Nikolaĭ Nikolaevich jun.
2 Conache, Diana
2 Conrad, Florian
2 Ejsmont, Wiktor
2 Frei, Maria M.
2 Golenia, Jolanta
2 Infusino, Maria
2 Jiao, Ying
2 Kalyuzhnyi, Alexander
2 Lee, Yuh-Jia
2 Ol’shanskiĭ, Grigoriĭ Iosifovich
2 Pasurek, Tatiana
2 Prykarpatsky, Anatoliy Karolevych
2 Qiu, Yanqi
2 Rodionova, Irina Nikolaevna
2 Salomon, Guy
2 Smii, Boubaker
2 Streit, Ludwig
2 Taneri, Ufuk
2 Wang, Feng-Yu
2 Yang, Xuewei
2 Zagrebnov, Valentin A.
1 Akahori, Jirô
1 Asai, Nobuhiro
1 Ayed, Wided
1 Barndorff-Nielsen, Ole Eiler
1 Benth, Fred Espen
1 Bezborodov, Viktor
1 Bogachev, Leonid V.
1 Bogachev, Vladimir Igorevich
1 Boudou, Anne-Severine
1 Bryc, Włodzimierz
1 Camilier, Isabelle
1 Caputo, Pietro
1 Crismale, Vitonofrio
1 Dai Pra, Paolo
1 Decreusefond, Laurent
1 Deng, Changsong
1 Drożdżewicz, Krzysztof
1 Dyriv, M. M.
1 Fattler, Torben
1 Fidaleo, Francesco
1 Friesen, Martin
1 Griseta, Maria Elena
1 Ha, Seung-Yeal
1 Hagedorn, Dennis
1 Hasebe, Takahiro
1 Huang, Zhiyuan
1 Ito, Keiichi R.
1 Jansen, Shirley
1 Ji, Un Cig
1 Jørgensen, Palle E. T.
1 Kachanovska, T.
1 Kalyuzhny, Alexander
1 Kim, Jaehee H.
1 Kim, Jeongho
1 Kiukas, Jukka
1 Kolesnikov, Alexander V.
1 Kondratiev, Yuri
1 Koshida, Shinji
1 Kubo, Izumi
1 Kuchling, Peter
1 Kuo, Hui-Hsiung
1 Lardizabal, Carlos F.
1 Léandre, Rémi
1 Lee, Yuhjia
1 Lierl, Janna
1 Ma, Chunhua
1 Magnot, Jean-Pierre
1 Mahnig, Andrea
...and 49 more Authors
all top 5

Cited in 54 Serials

24 Journal of Functional Analysis
19 Infinite Dimensional Analysis, Quantum Probability and Related Topics
13 Journal of Mathematical Physics
9 Stochastic Processes and their Applications
7 Communications in Mathematical Physics
6 Journal of Statistical Physics
6 Carpathian Mathematical Publications
5 The Annals of Probability
4 Reports on Mathematical Physics
4 Journal of Theoretical Probability
4 Potential Analysis
3 Journal of Mathematical Analysis and Applications
2 Advances in Applied Probability
2 Reviews in Mathematical Physics
2 Journal of Geometry and Physics
2 Integral Equations and Operator Theory
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Probability Theory and Related Fields
1 International Journal of Theoretical Physics
1 Applied Mathematics and Optimization
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Semigroup Forum
1 Tohoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Forum Mathematicum
1 Science in China. Series A
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Dynamics and Differential Equations
1 Theory of Probability and Mathematical Statistics
1 Journal of Mathematical Sciences (New York)
1 Electronic Journal of Probability
1 Finance and Stochastics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Evolution Equations
1 Quantitative Finance
1 Stochastic Models
1 Stochastics and Dynamics
1 Asia-Pacific Financial Markets
1 Stochastics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Nonlinear Oscillations
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Complex Analysis and Operator Theory
1 Probability Surveys
1 Analysis and Mathematical Physics
1 Bulletin of Mathematical Sciences
1 Arabian Journal of Mathematics
1 Journal of Mathematics
1 European Journal of Mathematics
1 Advances in Operator Theory

Citations by Year