Preprints
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Mixing times for the one-sided $k$-transposition shuffles. (arxiv)
in collaboration with Kenny Peng.
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The Limit Profile of Star Transpositions. (arxiv)
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The random walk on upper triangular matrices over Z/mZ. (arxiv)
in collaboration with Allan Sly. Under revision at Probability Theory and Related Fields.
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Mixing times for the simple exclusion process with open boundaries. (arxiv)
in collaboration with Nina Gantert and Dominik Schmid. Under revision at Annals of Applied Probability.
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Bounded cutoff window for the non-backtracking random walk on Ramanujan Graphs. (arxiv)
in collaboration with Peter Sarnak.
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Cutoff on trees is rare. (arxiv)
in collaboration with Nina Gantert and Dominik Schmid.
Published/Accepted Articles
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Limit Profiles for Reversible Markov Chains (arxiv)
in collaboration with Sam Olesker-Taylor, Probability Theory and Related Fields, accepted.
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Generalized Harmonic Functions on trees: Universality and Frequent Universality (arxiv)
in collaboration with N.Biehler and V.Nestoridis, Journal of Mathematical Analysis and Applications, accepted.
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On the spectrum of random walks on complete finite d-ary trees. (arxiv)
in collaboration with Oanh Nguyen, Electronic Journal of Probability, accepted.
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Cutoff for the Bernoulli-Laplace urn model with o(n) swaps. (arxiv)
joint work with Alexandros Eskenazis, Annales de l’Institut Henri Poincaré (February 2020).
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Cutoff for cyclic adjacent transpositions.(arxiv)
joint work with Danny Nam, Annals of Applied Probability (May 2019).
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On the mixing time of the Diaconis--Gangolli random walk on contingency tables over $\mathbb{Z}/ q \mathbb{Z}$.(arxiv)
joint work with Oanh Nguyen, Annales de l’Institut Henri Poincaré (April 2019).
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Cutoff for random to random card shuffle. (arxiv)
joint work with Megan Bernstein, Annals of Probability (Dec 2018).
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Super-character theory and comparison arguments for a random walk on the upper triangular matrices (arxiv)
Journal of Algebra (November 2018).
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Optimal strong stationary times for random walks on the chambers of a hyperplane arrangement (arxiv)
Probability Theory and Related Fields (September 2018).
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Shuffling large decks of cards and the Bernoulli-Laplace urn model (arxiv)
joint work with Graham White, Journal of Theoretical Probability.
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A non-local Random Walk on the Hypercube (arxiv)
Advances in Applied Probability 49.4 (December 2017).