Petrov L., “Sl(2) Operators and Markov Processes on Branching Graphs”, J. Algebr. Comb., 38:3 (2013), 663–720
Borodin A., Olshanski G., “Markov Dynamics on the Thoma Cone: a Model of Time-Dependent Determinantal Processes with Infinitely Many Particles”, Electron. J. Probab., 18 (2013), 75, 1–43
Strahov E., “$Z$-measures on partitions related to the infinite Gelfand pair $(S(2\infty),H(\infty))$”, J. Algebra, 323:2 (2010), 349–370
Olshanski G., “Anisotropic Young Diagrams and Infinite–Dimensional Diffusion Processes with the Jack Parameter”, International Mathematics Research Notices, 2010, no. 6, 1102–1166
Strahov E., “The z–measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel”, Advances in Mathematics, 224:1 (2010), 130–168
Borodin A., Olshanski G., “Infinite-dimensional diffusions as limits of random walks on partitions”, Probab. Theory Related Fields, 144:1-2 (2009), 281–318
Borodin A., Strahov E., “Correlation kernels for discrete symplectic and orthogonal ensembles”, Comm. Math. Phys., 286:3 (2009), 933–977
Borodin A., Olshanski G., Strahov E., “Giambelli compatible point processes”, Adv. in Appl. Math., 37:2 (2006), 209–248
Borodin A., Olshanski G., “Markov processes on partitions”, Probab. Theory Related Fields, 135:1 (2006), 84–152
Borodin A., Olshanski G., “Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes”, Ann. of Math. (2), 161:3 (2005), 1319–1422
Borodin A., Olshanski G., “$Z$-measures on partitions and their scaling limits”, European J. Combin., 26:6 (2005), 795–834
Borodin A., Olshanski G., “Random partitions and the gamma kernel”, Adv. Math., 194:1 (2005), 141–202
Borodin A., Olshanski G., “Representation theory and random point processes”, European Congress of Mathematics, 2005, 73–94
Kerov S., Olshanski G., Vershik A., “Harmonic analysis on the infinite symmetric group”, Invent. Math., 158:3 (2004), 551–642
Borodin A., “Asymptotic representation theory and Riemann–Hilbert problem”, Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001), Lecture Notes in Math., 1815, Springer, Berlin, 2003, 3–19
Olshanski C., “An introduction to harmonic analysis on the infinite symmetric group”, Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001), Lecture Notes in Math., 1815, Springer, Berlin, 2003, 127–160
Borodin A., “Discrete gap probabilities and discrete Painlevé equations”, Duke Math. J., 117:3 (2003), 489–542
Olshanski G., “The problem of harmonic analysis on the infinite–dimensional unitary group”, Journal of Functional Analysis, 205:2 (2003), 464–524
Olshanski G., “Point processes related to the infinite symmetric group”, Orbit Method in Geometry and Physics – in Honor of A.A. Kirillov, Progress in Mathematics, 213, 2003, 349–393
Borodin A., Deift P., “Fredholm determinants, Jimbo-Miwa-Ueno $\tau$-functions, and representation theory”, Comm. Pure Appl. Math., 55:9 (2002), 1160–1230