66 citations · 664 across the 84 of their papers we have counts for
3 papers · 2 filters
Spectral gap for random-to-random shuffling on linear extensions
Arvind Ayyer, Anne Schilling, Nicolas M. Thiéry
In this paper, we propose a new Markov chain which generalizes random-to-random shuffling on permutations to random-to-random shuffling on linear extensions of a finite poset of si…
Correlations in the Multispecies TASEP and a Conjecture by Lam
Arvind Ayyer, Svante Linusson
We study correlations in the multispecies TASEP on a ring. Results on correlation of two adjacent points prove two conjectures by Thomas Lam on (a) the limiting direction of a redu…
Multivariate Juggling Probabilities
Arvind Ayyer, Jérémie Bouttier, Sylvie Corteel +1
We consider refined versions of Markov chains related to juggling introduced by Warrington. We further generalize the construction to juggling with arbitrary heights as well as inf…