Edit Profile (opens in new tab) Tsilevich, Natalia V. Co-Author Distance Author ID: tsilevich.natalia-v Published as: Tsilevich, N. V.; Tsilevich, Natalia; Tsilevich, Natalia V.; Tsilevich, N. more...less Homepage: http://www.pdmi.ras.ru/~natalia/index.html External Links: Math-Net.Ru Documents Indexed: 32 Publications since 1995, including 3 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 19 Co-Authors with 31 Joint Publications 1,334 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Vershik, Anatoliĭ Moiseevich 3 Kerov, Sergei V. 3 Yor, Marc 2 Stepanov, Evgenii Olegovich 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 Yuzvinskiĭ, Sergeĭ Aronovich all top 5 Serials 15 Journal of Mathematical Sciences (New York) 4 Functional Analysis and its Applications 3 Zapiski Nauchnykh Seminarov POMI 2 Russian Mathematical Surveys 2 Theory of Probability 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 all top 5 Fields 15 Group theory and generalizations (20-XX) 14 Probability theory and stochastic processes (60-XX) 13 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 Topological groups, Lie groups (22-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 35 Fields 70 Probability theory and stochastic processes (60-XX) 38 Combinatorics (05-XX) 33 Quantum theory (81-XX) 28 Statistical mechanics, structure of matter (82-XX) 26 Group theory and generalizations (20-XX) 17 Functional analysis (46-XX) 13 Special functions (33-XX) 12 Statistics (62-XX) 11 Nonassociative rings and algebras (17-XX) 10 Measure and integration (28-XX) 9 Topological groups, Lie groups (22-XX) 8 Operator theory (47-XX) 6 Associative rings and algebras (16-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Abstract harmonic analysis (43-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-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) Citations by Year