From the 1 of 12 linked papers with an AI index.
12 papers
An exactly solvable asymmetric simple inclusion process
Arvind Ayyer, Samarth Misra
The paper introduces and solves a generalized asymmetric simple inclusion process (ASIP) with q‑ and t‑deformed hopping rates, deriving its steady‑state distribution, currents, and…
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…
-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…
Further results for classical and universal characters twisted by roots of unity
Arvind Ayyer, Nishu Kumari
We revisit factorizations of classical characters under various specializations, some old and some new. We first show that all characters of classical families of groups twisted by…
Dimension statistics of representations of finite groups
Arvind Ayyer, Dipendra Prasad
The first part of this paper deals with unipotent and reductive groups over finite fields with elements in which either goes to infinity or and goes to infi…
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…