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## Tsilevich, Natalia V.

Compute Distance To:
 Author ID: tsilevich.natalia-v Published as: Tsilevich, N. V.; Tsilevich, Natalia; Tsilevich, Natalia V.; Tsilevich, N. Homepage: http://www.pdmi.ras.ru/~natalia/index.html External Links: Math-Net.Ru
 Documents Indexed: 35 Publications since 1995, including 8 Books
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#### Co-Authors

 8 single-authored 23 Vershik, Anatoliĭ Moiseevich 3 Kerov, Sergei V. 2 Stepanov, Evgenii Olegovich 2 Yor, Marc 1 Bukhshtaber, Viktor Matveevich 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Sergey Vladimirovich 1 Gordin, Mikhail Iosifovich 1 Ibragimov, Il’dar Abdullovich 1 Kaimanovich, Vadim A. 1 Kirillov, Alexandre Aleksandrovich 1 Lodkin, A. A. 1 Nikitin, Pavel P. 1 Novikov, Sergeĭ Petrovich 1 Okun’kov, Andreĭ Yur’evich 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Petrov, Fedor Vladimirovich 1 Sinaĭ, Yakov Grigor’evich 1 Yakubovich, Yuri V. 1 Yuzvinskij, S. A.
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#### Serials

 15 Journal of Mathematical Sciences (New York) 3 Zapiski Nauchnykh Seminarov POMI 2 Russian Mathematical Surveys 2 Theory of Probability and its Applications 2 Functional Analysis and its Applications 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Journal of Functional Analysis 1 Advances in Applied Mathematics 1 Doklady Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Algebras and Representation Theory 1 Pure and Applied Mathematics Quarterly 1 Arnold Mathematical Journal
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#### Fields

 13 Group theory and generalizations (20-XX) 13 Probability theory and stochastic processes (60-XX) 11 Combinatorics (05-XX) 8 General and overarching topics; collections (00-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 8 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 5 Abstract harmonic analysis (43-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 149 times in 121 Documents Cited by Year
An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process. Zbl 0990.60053
Tsilevich, Natalia; Vershik, Anatoly; Yor, Marc
2001
Quantum inverse scattering method for the $$q$$-boson model and symmetric functions. Zbl 1118.81041
Tsilevich, N. V.
2006
Quasi-invariance du processus gamma et propriétés multiplicatives des distributions de Poisson-Dirichlet. (Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures.) Zbl 0938.60040
Tsilevich, Natalia; Vershik, Anatoly
1999
Fock factorizations and decompositions of the $$L^ 2$$ spaces over general Lévy processes. Zbl 1060.46056
Vershik, A. M.; Tsilevich, N. V.
2003
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
2001
The Markov-Krein correspondence in several dimensions. Zbl 1147.60303
Kerov, S. V.; Tsilevich, N. V.
2001
Stick breaking process generated by virtual permutations with Ewens distribution. Zbl 0909.60018
Kerov, S. V.; Tsilevich, N. V.
1995
On different models of representations of the infinite symmetric group. Zbl 1149.20013
Tsilevich, N. V.; Vershik, A. M.
2006
Stationary random partitions of positive integers. Zbl 0960.60012
Tsilevich, N. V.
1999
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
2007
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007
Tsilevich, N. V.; Vershik, A. M.
2014
Distribution of cycle lengths of inifinite permutations. Zbl 0909.60011
Tsilevich, N. V.
1995
Markov measures on Young tableaux and induced representations of the infinite symmetric group. Zbl 1155.20013
Vershik, A. M.; Tsilevich, N. V.
2007
The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra $$\widehat{\mathfrak{sl}_2}$$. Zbl 1319.20011
Tsilevich, Natalia V.; Vershik, Anatoly M.
2015
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
Vershik, A. M. (ed.); Tsilevich, N. V. (ed.)
2007
Distribution of cycle lengths of inifinite permutations. Zbl 0887.60011
Tsilevich, N. V.
1995
Stick breaking process generates virtual permutations with Ewens distribution. Zbl 0887.60016
Kerov, S. V.; Tsilevich, N. V.
1995
On the Fourier transform on the infinite symmetric group. Zbl 1078.43002
Vershik, A. M.; Tsilevich, N. V.
2005
On the behaviour of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits. Zbl 1257.82109
Tsilevich, N. V.
2012
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
2007
Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Zbl 1280.81144
Tsilevich, N. V.
2011
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
2017
Representation theory, dynamical systems, combinatorial methods. Part 16. (Теория представлений, динамические системы, комбинаторные методы. 16.) Zbl 1170.49302
Vershik, A. M. (ed.); Tsilevich, N. V. (ed.)
2008
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
2017
The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra $$\widehat{\mathfrak{sl}_2}$$. Zbl 1319.20011
Tsilevich, Natalia V.; Vershik, Anatoly M.
2015
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007
Tsilevich, N. V.; Vershik, A. M.
2014
On the behaviour of the periodic Coxeter Laplacian in some representations related to the antiferromagnetic asymptotic mode and continual limits. Zbl 1257.82109
Tsilevich, N. V.
2012
Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Zbl 1280.81144
Tsilevich, N. V.
2011
Representation theory, dynamical systems, combinatorial methods. Part 16. (Теория представлений, динамические системы, комбинаторные методы. 16.) Zbl 1170.49302
Vershik, A. M.; Tsilevich, N. V.
2008
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
2007
Markov measures on Young tableaux and induced representations of the infinite symmetric group. Zbl 1155.20013
Vershik, A. M.; Tsilevich, N. V.
2007
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
Vershik, A. M.; Tsilevich, N. V.
2007
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
2007
Quantum inverse scattering method for the $$q$$-boson model and symmetric functions. Zbl 1118.81041
Tsilevich, N. V.
2006
On different models of representations of the infinite symmetric group. Zbl 1149.20013
Tsilevich, N. V.; Vershik, A. M.
2006
On the Fourier transform on the infinite symmetric group. Zbl 1078.43002
Vershik, A. M.; Tsilevich, N. V.
2005
Fock factorizations and decompositions of the $$L^ 2$$ spaces over general Lévy processes. Zbl 1060.46056
Vershik, A. M.; Tsilevich, N. V.
2003
An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process. Zbl 0990.60053
Tsilevich, Natalia; Vershik, Anatoly; Yor, Marc
2001
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
2001
The Markov-Krein correspondence in several dimensions. Zbl 1147.60303
Kerov, S. V.; Tsilevich, N. V.
2001
Quasi-invariance du processus gamma et propriétés multiplicatives des distributions de Poisson-Dirichlet. (Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures.) Zbl 0938.60040
Tsilevich, Natalia; Vershik, Anatoly
1999
Stationary random partitions of positive integers. Zbl 0960.60012
Tsilevich, N. V.
1999
Stick breaking process generated by virtual permutations with Ewens distribution. Zbl 0909.60018
Kerov, S. V.; Tsilevich, N. V.
1995
Distribution of cycle lengths of inifinite permutations. Zbl 0909.60011
Tsilevich, N. V.
1995
Distribution of cycle lengths of inifinite permutations. Zbl 0887.60011
Tsilevich, N. V.
1995
Stick breaking process generates virtual permutations with Ewens distribution. Zbl 0887.60016
Kerov, S. V.; Tsilevich, N. V.
1995
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#### Cited by 122 Authors

 20 Vershik, Anatoliĭ Moiseevich 10 Tsilevich, Natalia V. 9 Bogolyubov, Nikolaĭ Mikhaĭlovich 8 Lytvynov, Eugene W. 6 Wheeler, Michael 5 Emsiz, Erdal 5 Graev, Mark Iosifovich 5 Kondrat’yev, Yuriĭ Grygorovych 5 Lijoi, Antonio 5 van Diejen, Jan Felipe 5 Yor, Marc 4 Borodin, Alexei 4 James, Lancelot F. 4 Prünster, Igor 3 Handa, Kenji 3 Kachanovsky, Nikolai A. 3 Kerov, Sergei V. 3 Najnudel, Joseph 3 Petrov, Leonid 3 Smorodina, Natal’ya Vasil’evna 2 Bahier, Valentin 2 Bufetov, Alekseĭ Igor’evich 2 Corwin, Ivan 2 da Silva, José Luís 2 Frei, Maria M. 2 Gnedin, Alexander V. 2 Gorin, Vadim 2 Hagedorn, Dennis 2 Kuna, Tobias 2 Neretin, Yuriĭ Aleksandrovich 2 Nikeghbali, Ashkan 2 Nikitin, Pavel P. 2 Pitman, Jim William 2 Regazzini, Eugenio 2 Strahov, Eugene 2 von Renesse, Max-Konstantin 2 Wang, Na 2 Zinn-Justin, Paul 1 Arbel, Julyan 1 Asci, Claudio 1 Barraquand, Guillaume 1 Bertoin, Jean 1 Betea, Dan 1 Bozejko, Marek 1 Brubaker, Ben 1 Bufetov, Aleksandr Igorevich 1 Bump, Daniel 1 Butler, Ronald W. 1 Cai, Tommy Wuxing 1 Conache, Diana 1 Dello Schiavo, Lorenzo 1 Diaconis, Persi Warren 1 Donati-Martin, Catherine 1 Eberlein, Ernst W. 1 Émery, Michel 1 Erraoui, Mohamed 1 Farré, Mercè 1 Feng, Shui 1 Franz, Uwe 1 Friedberg, Solomon 1 Gamburd, Alexander 1 Garbali, Alexandr 1 Gorin, V. E. 1 Gribkova, S. S. 1 Großkinsky, Stefan 1 Homei, Hazhir 1 Huang, Zhiyuan 1 Ismagilov, Rais Sal’manovich 1 Jing, Naihuan 1 Jolis, Maria 1 Jordanova, Pavlina K. 1 Kachanovska, T. 1 Kapitonov, V. S. 1 Keys, Dustin 1 Khoroshkin, Sergey M. 1 Kirillov, Alexandre Aleksandrovich 1 Kiseľák, Jozef 1 Korff, Christian 1 Kosyak, Alexandre V. 1 Lawless, Caroline 1 Lei, Qiang 1 Li, Zhijun 1 Lovisolo, Alexander A. 1 Madan, Dilip B. 1 Malyshev, Cyril 1 Mayer-Wolf, Eduardo 1 Molchanov, Vladimir Fedorovich 1 Molev, Alexander I. 1 Motegi, Kohei 1 Nadarajah, Saralees 1 Nazarov, Maxim Leonidovich 1 Nessonov, Nikolai I. 1 Okun’kov, Andreĭ Yur’evich 1 Pasurek, Tatiana 1 Peccati, Giovanni 1 Pistorius, Martijn R. 1 Prikhod’ko, Aleksandr A. 1 Privault, Nicolas 1 Pronko, Andrei G. 1 Röckner, Michael ...and 22 more Authors
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#### Cited in 56 Serials

 14 Journal of Mathematical Sciences (New York) 10 Journal of Functional Analysis 7 The Annals of Probability 6 Communications in Mathematical Physics 6 Functional Analysis and its Applications 4 Journal of Mathematical Physics 4 Advances in Mathematics 4 Bernoulli 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Letters in Mathematical Physics 3 Stochastic Processes and their Applications 3 Journal of Statistical Mechanics: Theory and Experiment 3 Carpathian Mathematical Publications 2 Theoretical and Mathematical Physics 2 The Annals of Statistics 2 Journal of Combinatorial Theory. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Acta Applicandae Mathematicae 2 St. Petersburg Mathematical Journal 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Communications in Statistics. Theory and Methods 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Theory of Probability and Mathematical Statistics 1 Combinatorics, Probability and Computing 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Applied Mathematical Finance 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Izvestiya: Mathematics 1 Algebras and Representation Theory 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Methodology and Computing in Applied Probability 1 Annales Henri Poincaré 1 Proceedings of the Steklov Institute of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Frontiers of Mathematics in China 1 Statistics Surveys 1 Forum of Mathematics, Sigma 1 Journal of Mathematics 1 Dependence Modeling 1 European Journal of Mathematics
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#### Cited in 33 Fields

 60 Probability theory and stochastic processes (60-XX) 27 Combinatorics (05-XX) 23 Statistical mechanics, structure of matter (82-XX) 21 Quantum theory (81-XX) 19 Group theory and generalizations (20-XX) 14 Functional analysis (46-XX) 10 Measure and integration (28-XX) 10 Statistics (62-XX) 9 Topological groups, Lie groups (22-XX) 8 Special functions (33-XX) 6 Associative rings and algebras (16-XX) 6 Nonassociative rings and algebras (17-XX) 6 Operator theory (47-XX) 5 Abstract harmonic analysis (43-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 2 Partial differential equations (35-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)