Publications and preprints

22. On some integrable models in inhomogeneous space (arxiv:2310.18055).

21. Exact solution of interacting particle systems related to random matrices, Comm. Math. Phys., Vol. 402, Iss. 3, Sept. 2023, 2641 - 2690 (arxiv:2210.12450).

20. Random entire functions from random polynomials with real zeros, Adv. Math. 410 (2022), Paper No. 108701 (arxiv:2202.03362).

19. On the moments of moments of random matrices and  Ehrhart polynomials, with E. Eriksson and W. Ni, Adv. in Appl. Math. 149 (2023), Paper No. 102539 (arxiv:2111.07879).

18. Convergence and an explicit formula for the joint moments of the circular Jacobi β-Ensemble characteristic polynomial, with M. A. Gunes and A. Soor, Math. Phys. Anal. Geom. 25 (2022), no. 2, Paper No. 15  (arxiv:2110.05406).

17. On the singular values of complex matrix Brownian motion with a matrix drift, Bernoulli 29 (2): 1686-1713 (May 2023) (arxiv:2107.05028).

16. On the moments of the partition function of the CβE field, J. Stat. Phys. 187 (2022), no. 2, Paper No. 14, 22 pp (arxiv:2011.10323).

15. Infinite p-adic random matrices and ergodic decomposition of p-adic Hua measures, Trans. Amer. Math. Soc. 375 (2022), 1745-1766, (arXiv:2009.04762).

14. On a distinguished family of random variables and Painlevé equations, with B. Bedert, M. A. Gunes and A. Soor, Probability and Mathematical Physics, 2-3, 613-642, (2021), (arXiv:2009.04760).

13. Moments of Generalized Cauchy Random Matrices and continuous-Hahn Polynomials, with B. Bedert, M. A. Gunes and A. Soor,  Nonlinearity, 34, No. 7, 4923–4943, (2021), (arXiv:2009.04752).

12. On the joint moments of the characteristic polynomials of random unitary matrices, with J. Keating and J. Warren,  Int. Math. Res. Not. IMRN, Volume 2022, Issue 18, September 2022, Pages 14564–14603 (arXiv:2005.13961).

11. On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices, with E. Bailey and J. Keating, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 9 (2022), no. 3, pp. 567–604, (arXiv:1910.12576).

10. Determinantal structures in space inhomogeneous dynamics on interlacing arrays,  Annales Henri Poincaré, Vol. 21, Issue (3), 909-940, (2020) (arXiv:1910.09500).

9. The boundary of the orbital beta process, with J. Najnudel, Moscow Math. J., 21, p. 659-694, (2021), (arXiv:1905.08684).

8.  Moments of moments of characteristic polynomials of random unitary matrices and lattice point counts, with J. Keating, RMTA, Vol. 10, Issue No. 2, Article No. 2150019, (2021) (arXiv:1905.06072).

7. On a gateway between the Laguerre process and dynamics on partitions, ALEA, 16, 1055-1076, (2019) (arXiv:1903.01265).

6. Ergodic decomposition for inverse Wishart measures on infinite positive-definite matrices, SIGMA, 15, 067, 24 pp, (2019) (arXiv:1901.03117).

5. Random surface growth and Karlin-McGregor polynomials, Electronic Journal of Probability, Vol. 23, paper no. 106, 81 pp, (2018) (arXiv:1709.10444).

4. A matrix Bougerol identity and the Hua-Pickrell measures, Electronic Communications in Probability, Vol. 23, paper no.7, 11 pp, (2018) (arXiv:1707.09915).

3. Hua-Pickrell diffusions and Feller processes on the boundary of the graph of spectra, Annales de l'Institut Henri Poincare (B): Probabilites et Statistiques, Vol. 56, no. 2, 1251-1283 (2020) (arXiv:1703.01813).

2. Intertwinings for general β Laguerre and Jacobi processes, Journal of Theoretical Probability, Vol. 32, Iss. 4, 1880-1891, (2019) (arXiv:1609.03764).

1. Interlacing Diffusions, with N. O'Connell and J. Warren, Seminaire de Probabilites L, 301-380, (2019) (arXiv:1607.07182).

PhD Thesis

Integrable stochastic dynamics and Gelfand-Tsetlin patterns.