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Tsilevich, Natalia V.

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Author ID: tsilevich.natalia-v Recent zbMATH articles by "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

Publications by Year

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
32
2001
Quantum inverse scattering method for the \(q\)-boson model and symmetric functions. Zbl 1118.81041
Tsilevich, N. V.
30
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
13
1999
Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. Zbl 1060.46056
Vershik, A. M.; Tsilevich, N. V.
13
2003
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
11
2001
The Markov-Krein correspondence in several dimensions. Zbl 1147.60303
Kerov, S. V.; Tsilevich, N. V.
8
2001
Stick breaking process generated by virtual permutations with Ewens distribution. Zbl 0909.60018
Kerov, S. V.; Tsilevich, N. V.
7
1995
On different models of representations of the infinite symmetric group. Zbl 1149.20013
Tsilevich, N. V.; Vershik, A. M.
5
2006
Stationary random partitions of positive integers. Zbl 0960.60012
Tsilevich, N. V.
5
1999
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
4
2007
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007
Tsilevich, N. V.; Vershik, A. M.
4
2014
Distribution of cycle lengths of inifinite permutations. Zbl 0909.60011
Tsilevich, N. V.
4
1995
Markov measures on Young tableaux and induced representations of the infinite symmetric group. Zbl 1155.20013
Vershik, A. M.; Tsilevich, N. V.
2
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.
2
2015
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
Vershik, A. M. (ed.); Tsilevich, N. V. (ed.)
1
2007
Distribution of cycle lengths of inifinite permutations. Zbl 0887.60011
Tsilevich, N. V.
1
1995
Stick breaking process generates virtual permutations with Ewens distribution. Zbl 0887.60016
Kerov, S. V.; Tsilevich, N. V.
1
1995
On the Fourier transform on the infinite symmetric group. Zbl 1078.43002
Vershik, A. M.; Tsilevich, N. V.
1
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.
1
2012
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
1
2007
Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Zbl 1280.81144
Tsilevich, N. V.
1
2011
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
1
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.)
1
2008
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
1
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.
2
2015
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007
Tsilevich, N. V.; Vershik, A. M.
4
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.
1
2012
Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Zbl 1280.81144
Tsilevich, N. V.
1
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.
1
2008
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
4
2007
Markov measures on Young tableaux and induced representations of the infinite symmetric group. Zbl 1155.20013
Vershik, A. M.; Tsilevich, N. V.
2
2007
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
Vershik, A. M.; Tsilevich, N. V.
1
2007
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
1
2007
Quantum inverse scattering method for the \(q\)-boson model and symmetric functions. Zbl 1118.81041
Tsilevich, N. V.
30
2006
On different models of representations of the infinite symmetric group. Zbl 1149.20013
Tsilevich, N. V.; Vershik, A. M.
5
2006
On the Fourier transform on the infinite symmetric group. Zbl 1078.43002
Vershik, A. M.; Tsilevich, N. V.
1
2005
Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. Zbl 1060.46056
Vershik, A. M.; Tsilevich, N. V.
13
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
32
2001
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
11
2001
The Markov-Krein correspondence in several dimensions. Zbl 1147.60303
Kerov, S. V.; Tsilevich, N. V.
8
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
13
1999
Stationary random partitions of positive integers. Zbl 0960.60012
Tsilevich, N. V.
5
1999
Stick breaking process generated by virtual permutations with Ewens distribution. Zbl 0909.60018
Kerov, S. V.; Tsilevich, N. V.
7
1995
Distribution of cycle lengths of inifinite permutations. Zbl 0909.60011
Tsilevich, N. V.
4
1995
Distribution of cycle lengths of inifinite permutations. Zbl 0887.60011
Tsilevich, N. V.
1
1995
Stick breaking process generates virtual permutations with Ewens distribution. Zbl 0887.60016
Kerov, S. V.; Tsilevich, N. V.
1
1995
all top 5

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
all top 5

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

Citations by Year