66 citations · 664 across the 84 of their papers we have counts for
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Correlations in totally symmetric self-complementary plane partitions
Arvind Ayyer, Sunil Chhita
Totally symmetric self-complementary plane partitions (TSSCPPs) are boxed plane partitions with the maximum possible symmetry. We use the well-known representation of TSSCPPs as a…
Modified Macdonald polynomials and the multispecies zero range process: I
Arvind Ayyer, Olya Mandelshtam, James B. Martin
In this paper we prove a new combinatorial formula for the modified Macdonald polynomials , motivated by connections to the theory of interacting particle s…
Toppleable Permutations, Excedances and Acyclic Orientations
Arvind Ayyer, Daniel Hathcock, Prasad Tetali
Recall that an excedance of a permutation is any position such that . Inspired by the work of Hopkins, McConville and Propp (Elec. J. Comb., 2017) on sorting using…
Stationary States of the One-dimensional Facilitated Asymmetric Exclusion Process
A. Ayyer, S. Goldstein, J. L. Lebowitz +1
We describe the translation invariant stationary states (TIS) of the one-dimensional facilitated asymmetric exclusion process in continuous time, in which a particle at site $i\in\…
Limiting directions for random walks in classical affine Weyl groups
Erik Aas, Arvind Ayyer, Svante Linusson +1
Let be a finite Weyl group and the corresponding affine Weyl group. A random element of can be obtained as a reduced random walk on the alcoves of…
A simple symmetric exclusion process driven by an asymmetric tracer particle
Arvind Ayyer
We consider an exclusion process on a periodic one-dimensional lattice where all particles perform simple symmetric exclusion at rate except for a single tracer particle, which…