# Research

My research is in probability and combinatorics. I am particularly interested in random processes on discrete structures. I am also interested in problems emerging from computational biology, statistical physics and game theory. The topics that I have studied are

Markov chains on groups and graphs

Martingales and recurrence relations

First-passage percolation

Logical limit laws

Statistics of subsequences

Papers

A logical limit law for the sequential model of preferential attachment graphs (2024), arXiv: 2408.07475

First-order convergence for 321-avoiding permutations (2023), arXiv: 2312.01749

(with M. Damron and C. Houdré) Fluctuation bounds for first-passage percolation on the square, tube and torus, ALEA, 21 (2024)

Random walks generated by the Ewens distribution on the symmetric group, Algebraic Combinatorics, 6 (4) (2023)

(with Y. Demirci and Ü. Işlak) Mixing time bounds for edge flipping on regular graphs, Journal of Applied Probability, 60 (4) (2023)

Random decompositions of Eulerian statistics, Electronic Journal of Combinatorics, 29 (4) (2022)

Martingales and descent statistics, Advances in Applied Mathematics, 140 (2022)

(with Ü. Işlak) On an alternative sequence comparison statistic of Steele, Discrete Mathematics & Theoretical Computer Science, 22 (2020)

Random (n-k)-cycle to transpositions walk on the symmetric group, Journal of Theoretical Probability, 32 (3), 1438-1460 (2019)

(with Ü. Işlak) Asymptotic results on weakly increasing subsequences in random words, Discrete Applied Mathematics, 251, 171-189 (2018)