Research papers


14. Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures (joint with M. Dolega and A. Moll). Preprint (2023). arXiv:2304.04089

13. Mackey-type identity for invariant functions on Lie algebras of finite unitary groups and an application (joint with G. Olshanski). Journal of Lie Theory 33, no. 1, special issue in honor of Karl Hofmann (2023), pp. 149-168. arxiv:2206.07320

12. Matrix addition and the Dunkl transform at high temperature (joint with F. Benaych-Georges and V. Gorin). Communications in Mathematical Physics 394 (2022), pp. 735-795. arxiv:2105.03795

11. Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions (joint with G. Olshanski). Advances in Mathematics, vol. 395 (2022), p. 108087. arxiv:2102.01947

10. The Elliptic Tail Kernel (joint with V. Gorin and G. Olshanski). International Mathematics Research Notices 2021, no. 19, pp. 14922-14964. arxiv:1907.11841

9. q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups (joint with V. Gorin). Selecta Mathematica 26, no. 3 (2020), pp. 1-55. arxiv:1812.06523

8. Elements of the q-Askey scheme in the algebra of symmetric functions (joint with G. Olshanski). Moscow Mathematical Journal 20, no. 4 (2020), pp. 645-694. arxiv:1808.06179

7. Universal Behavior of the Corners of Orbital Beta Processes, International Mathematics Research Notices 2021, no. 19, pp. 14761-14813. arxiv:1807.06134

6. Interpolation Macdonald Operators at Infinity. Advances in Applied Mathematics, vol. 101 (2018), pp. 15-59. arxiv:1712.08014

5. BC Type Z-measures and Determinantal Point Processes, Advances in Mathematics 334 (2018), pp. 1-80. arxiv:1701.07060

4. Pieri Integral Formula and Asymptotics of Jack Unitary Characters. Selecta Mathematica, New Series, vol. 24, no. 3 (2018), pp. 2737-2789. arxiv:1704.02430

3. Asymptotic Formulas for Macdonald Polynomials and the Boundary of the (q, t)-Gelfand-Tsetlin graph, SIGMA 14 (2018), 001. arxiv:1704.02429

2. Markov processes on the duals to infinite-dimensional Lie groups, Annales de l'Institut Henri Poincare: Probabilites et Statistiques, vol. 54, no. 3 (2018), pp. 1359-1407. arxiv:1608.02281

1. Laurent Phenomenon Sequences (joint with J. H. Alman and J. Huang.) Journal of Algebraic Combinatorics 43 (2016), pp. 589-633. arxiv:1309.0751