66 citations · 664 across the 84 of their papers we have counts for
85 papers
Positive definite, positive semidefinite and totally positive matrices over finite fields
Arvind Ayyer, Shubhanshu Prasad
Motivated by the equivalent definitions of positive definite (resp. positive semidefinite) matrices over real and complex fields, we give four (resp. five) inequivalent definitions…
A bijection on balanced words reversing both and
Arvind Ayyer, Naren Sundaravaradan
Balanced words on a finite alphabet are those words in which every letter of the alphabet occurs the same number of times. The notion of descents and major index extends in a natur…
An exactly solvable evaporation-deposition PCA with long-distance interactions
Arvind Ayyer, Moumanti Podder
We consider a probabilistic cellular automaton (PCA) of evaporation-deposition on the one-dimensional lattice having sites with periodic boundary conditions, in which each site…
Multispecies inhomogeneous -PushTASEP with general capacity
Arvind Ayyer, Atsuo Kuniba
We study an -species -PushTASEP, an integrable long-range stochastic process, on a one-dimensional periodic lattice with inhomogeneities and arbitrary capaci…
Factorised stationary states for a long range misanthrope process
Arvind Ayyer, Saham Sil
The misanthrope process is an interacting particle system where particles move between neighbouring sites with hop rates depending only on the number of particles at the departure…
-deformations of the Tsetlin library
Arvind Ayyer, Sarah Brauner, Jan de Gier +1
The Tsetlin library is a random shuffling process on permutations of letters, where each letter can be interpreted as a book; book is brought to the front of the booksh…