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Tsilevich, Natalia V.

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

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 188 times in 150 Documents Cited by Year
Quantum inverse scattering method for the \(q\)-boson model and symmetric functions. Zbl 1118.81041
Tsilevich, N. V.
42
2006
An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process. Zbl 0990.60053
Tsilevich, Natalia; Vershik, Anatoly; Yor, Marc
38
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
14
1999
Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. Zbl 1060.46056
Vershik, A. M.; Tsilevich, N. V.
14
2003
The Markov-Krein correspondence in several dimensions. Zbl 1147.60303
Kerov, S. V.; Tsilevich, N. V.
12
2001
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
11
2001
Stick breaking process generated by virtual permutations with Ewens distribution. Zbl 0909.60018
Kerov, S. V.; Tsilevich, N. V.
8
1995
Stationary random partitions of positive integers. Zbl 0960.60012
Tsilevich, N. V.
6
1999
Distribution of cycle lengths of inifinite permutations. Zbl 0909.60011
Tsilevich, N. V.
6
1995
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. Zbl 1306.20007
Tsilevich, N. V.; Vershik, A. M.
6
2014
On different models of representations of the infinite symmetric group. Zbl 1149.20013
Tsilevich, N. V.; Vershik, A. M.
5
2006
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
5
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
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
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
2
2017
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
2
2007
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.
2
2012
Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Zbl 1280.81144
Tsilevich, N. V.
2
2011
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
1
2007
On the Fourier transform on the infinite symmetric group. Zbl 1078.43002
Vershik, A. M.; Tsilevich, N. V.
1
2005
Representation theory, dynamical systems, combinatorial methods. Part 16. (Теория представлений, динамические системы, комбинаторные методы. 16.) Zbl 1170.49302
1
2008
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
The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group. Zbl 1456.20008
Tsilevich, N. V.; Vershik, A. M.; Yuzvinsky, S.
1
2020
The Schur-Weyl graph and Thoma’s theorem. Zbl 1483.05201
Vershik, A. M.; Tsilevich, N. V.
1
2021
On the dual complexity and spectra of some combinatorial functions. Zbl 1398.05224
Tsilevich, N. V.
1
2018
Ergodicity and totality of partitions associated with the RSK correspondence. Zbl 1475.05171
Vershik, A. M.; Tsilevich, N. V.
1
2021
The Schur-Weyl graph and Thoma’s theorem. Zbl 1483.05201
Vershik, A. M.; Tsilevich, N. V.
1
2021
Ergodicity and totality of partitions associated with the RSK correspondence. Zbl 1475.05171
Vershik, A. M.; Tsilevich, N. V.
1
2021
The intrinsic hyperplane arrangement in an arbitrary irreducible representation of the symmetric group. Zbl 1456.20008
Tsilevich, N. V.; Vershik, A. M.; Yuzvinsky, S.
1
2020
On the dual complexity and spectra of some combinatorial functions. Zbl 1398.05224
Tsilevich, N. V.
1
2018
On the relationship between combinatorial functions and representation theory. Zbl 1369.20013
Vershik, A. M.; Tsilevich, N. V.
2
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.
6
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.
2
2012
Spectral properties of the periodic Coxeter Laplacian in the two-row ferromagnetic case. Zbl 1280.81144
Tsilevich, N. V.
2
2011
Representation theory, dynamical systems, combinatorial methods. Part 16. (Теория представлений, динамические системы, комбинаторные методы. 16.) Zbl 1170.49302
1
2008
Induced representations of the infinite symmetric group. Zbl 1153.20008
Tsilevich, N. V.; Vershik, A. M.
5
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
Induced representations of the infinite symmetric group and their spectral theory. Zbl 1327.20010
Vershik, A. M.; Tsilevich, N. V.
2
2007
Representation theory, dynamical systems, combinatorial methods. Part 15. Transl. from the Russian. Zbl 1136.49301
1
2007
Quantum inverse scattering method for the \(q\)-boson model and symmetric functions. Zbl 1118.81041
Tsilevich, N. V.
42
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.
14
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
38
2001
The Markov-Krein correspondence in several dimensions. Zbl 1147.60303
Kerov, S. V.; Tsilevich, N. V.
12
2001
On the Markov-Krein identity and quasi-invariance of the gamma process. Zbl 1069.60046
Vershik, A.; Yor, M.; Tsilevich, N.
11
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
14
1999
Stationary random partitions of positive integers. Zbl 0960.60012
Tsilevich, N. V.
6
1999
Stick breaking process generated by virtual permutations with Ewens distribution. Zbl 0909.60018
Kerov, S. V.; Tsilevich, N. V.
8
1995
Distribution of cycle lengths of inifinite permutations. Zbl 0909.60011
Tsilevich, N. V.
6
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 139 Authors

23 Vershik, Anatoliĭ Moiseevich
11 Tsilevich, Natalia V.
10 Lytvynov, Eugene W.
9 Bogolyubov, Nikolaĭ Mikhaĭlovich
9 Wheeler, Michael
8 van Diejen, Jan Felipe
7 Borodin, Alexei
7 Wang, Na
6 Kondrat’yev, Yuriĭ Grygorovych
5 Emsiz, Erdal
5 Graev, Mark Iosifovich
5 Lijoi, Antonio
5 Yor, Marc
4 Petrov, Leonid
4 Prünster, Igor
3 Dello Schiavo, Lorenzo
3 Handa, Kenji
3 Kachanovsky, Nikolai A.
3 Kerov, Sergei V.
3 Najnudel, Joseph
3 Nikeghbali, Ashkan
3 Smorodina, Natal’ya Vasil’evna
3 Strahov, Eugene
3 Wu, Ke
2 Aggarwal, Amol
2 Bahier, Valentin
2 Bufetov, Alekseĭ Igor’evich
2 Corwin, Ivan Z.
2 da Silva, José Luís
2 Frei, Maria M.
2 Gnedin, Alexander V.
2 Gorin, Vadim
2 Hagedorn, Dennis
2 Homei, Hazhir
2 James, Lancelot F.
2 Kuna, Tobias
2 Neretin, Yuriĭ Aleksandrovich
2 Nessonov, Nikolai I.
2 Nikitin, Pavel P.
2 Pitman, Jim William
2 Regazzini, Eugenio
2 von Renesse, Max-Konstantin
2 Zinn-Justin, Paul
1 Alon, Gil
1 Arbel, Julyan
1 Asci, Claudio
1 Barraquand, Guillaume
1 Bertoin, Jean
1 Betea, Dan
1 Bezrodnykh, Sergeĭ I.
1 Bourgade, Paul
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 Diaconis, Persi Warren
1 Donati-Martin, Catherine
1 Eberlein, Ernst W.
1 Émery, Michel
1 Erraoui, Mohamed
1 Evans, Steven Neil
1 Farré, Mercè
1 Feng, Shui
1 Flint, Ian
1 Franz, Uwe
1 Friedberg, Solomon
1 Gamburd, Alexander
1 Garbali, Alexandr
1 Gorin, V. E.
1 Gribkova, S. S.
1 Großkinsky, Stefan
1 Heathcote, Adrian
1 Huang, Zhiyuan
1 Ismagilov, Rais Sal’manovich
1 Jaffe, Adam Q.
1 Jing, Naihuan
1 Jolis, Maria
1 Jordanova, Pavlina Kalcheva
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 Kozma, Gady
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 Moore, Stephen T.
...and 39 more Authors
all top 5

Cited in 68 Serials

14 Journal of Mathematical Sciences (New York)
11 Journal of Functional Analysis
7 The Annals of Probability
7 Functional Analysis and its Applications
6 Communications in Mathematical Physics
5 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 Russian Mathematical Surveys
3 Stochastic Processes and their Applications
3 Journal of Statistical Mechanics: Theory and Experiment
3 Carpathian Mathematical Publications
2 Nuclear Physics. B
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 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 The Annals of Applied Probability
2 Communications in Statistics. Theory and Methods
2 Potential Analysis
2 St. Petersburg Mathematical Journal
2 Electronic Journal of Probability
2 Electronic Communications in Probability
2 Journal of High Energy Physics
2 Annales Henri Poincaré
2 Journal of Physics A: Mathematical and Theoretical
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Reports on Mathematical Physics
1 Annales de l’Institut Fourier
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Algebra
1 Synthese
1 Transactions of the American Mathematical Society
1 Stochastic Analysis and Applications
1 Random Structures & Algorithms
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Indagationes Mathematicae. New Series
1 New Zealand Journal of Mathematics
1 Theory of Probability and Mathematical Statistics
1 Combinatorics, Probability and Computing
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Advances in Computational Mathematics
1 Applied Mathematical Finance
1 Sbornik: Mathematics
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 Journal of Algebra and its Applications
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
1 Algebraic Combinatorics
1 Communications of the American Mathematical Society

Citations by Year