An infinite-dimensional analogue of the Lebesgue measure and distinguished properties of the gamma process N Tsilevich, A Vershik, M Yor Journal of Functional Analysis 185 (1), 274-296, 2001 | 123 | 2001 |
Quantum inverse scattering method for the q-boson model and symmetric functions NV Tsilevich Functional Analysis and Its Applications 40 (3), 207-217, 2006 | 92 | 2006 |
Quasi-invariance of the gamma process and multiplicative properties of the Poisson-Dirichlet measures N Tsilevich, A Vershik Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 329 (2), 163-168, 1999 | 50 | 1999 |
Fock factorizations, and decompositions of the L2 spaces over general Lévy processes AM Vershik, NV Tsilevich Russian Mathematical Surveys 58 (3), 427, 2003 | 37 | 2003 |
The Markov–Krein correspondence in several dimensions SV Kerov, N Tsilevich Journal of Mathematical Sciences 121 (3), 2345-2359, 2004 | 28 | 2004 |
Remarks on the Markov–Krein identity and quasi-invariance of the gamma process AM Vershik, M Yor, NV Tsilevich Zapiski Nauchnykh Seminarov POMI 283, 21-36, 2001 | 27 | 2001 |
Distinguished properties of the gamma process and related topics N Tsilevich, A Vershik, M Yor arXiv preprint math/0005287, 2000 | 27* | 2000 |
Stick breaking process generated by virtual permutations with Ewens distribution SV Kerov, NV Tsilevich Journal of Mathematical Sciences 87 (6), 4082-4093, 1997 | 22 | 1997 |
Stationary random partitions of positive integers NV Tsilevich Theory of Probability & Its Applications 44 (1), 60-74, 2000 | 18* | 2000 |
Distribution of the mean value for certain random measures NV Tsilevich Journal of Mathematical Sciences 96 (5), 3616-3623, 1999 | 18* | 1999 |
Stationary random partitions of positive integers NV Tsilevich Theory of Probability & Its Applications 44 (1), 60-74, 2000 | 16 | 2000 |
Infinite-dimensional Schur–Weyl duality and the Coxeter–Laplace operator NV Tsilevich, AM Vershik Communications in Mathematical Physics 327 (3), 873-885, 2014 | 15 | 2014 |
Induced representations of the infinite symmetric group NV Tsilevich, AM Vershik Pure and Applied Mathematics Quaterly 3 (4), 1005-1026, 2007 | 14* | 2007 |
On the Markov–Krein identity and quasi-invariance of the gamma process AM Vershik, M Yor, N Tsilevich Journal of Mathematical Sciences 121, 2303-2310, 2004 | 14 | 2004 |
Distribution of cycle lengths of infinite permutations NV Tsilevich Journal of Mathematical Sciences 87, 4072-4081, 1997 | 14 | 1997 |
On different models of representations of the infinite symmetric group NV Tsilevich, AM Vershik Advances in Applied Mathematics 37 (4), 526-540, 2006 | 13 | 2006 |
Markov measures on Young tableaux and induced representations of the infinite symmetric group AM Vershik, NV Tsilevich Theory of Probability & Its Applications 51 (1), 211-223, 2007 | 12 | 2007 |
On the Fourier transform on the infinite symmetric group AM Vershik, NV Tsilevich Journal of Mathematical Sciences 138 (3), 5663-5673, 2006 | 7 | 2006 |
On the simplest split-merge operator on the infinite-dimensional simplex N Tsilevich arXiv preprint math/0106005, 2001 | 6 | 2001 |
On the decomposition of tensor representations of symmetric groups PP Nikitin, NV Tsilevich, AM Vershik Algebras and Representation Theory 22, 895-908, 2019 | 5 | 2019 |