7 papers
Elephant random walk with attributed steps and extractions of random sizes
Sooraj M, Moumanti Podder, Archi Roy
We study a model of market economics wherein the -st customer, for each , with being a prespecified positive integer, draws a sample of (random) size $K_{n…
The Maker-Breaker directed triangle game
Hrishikesh Jagtap, Moumanti Podder
In this work, we investigate Maker-Breaker directed triangle games, a directionally constrained variant of the classical Maker-Breaker triangle game. Our board of interest is a tou…
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…
Elephant random walks with multiple extractions and general reinforcement functions
Moumanti Podder, Archi Roy
We consider a generalized model of elephant random walks wherein the walker, during the -st time-stamp, draws from the past (i.e. the set ) a sample of …
Generalized percolation games on the -dimensional square lattice, and ergodicity of associated probabilistic cellular automata
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
Each vertex of the infinite -dimensional square lattice graph is assigned, independently, a label that reads trap with probability , target with probability , and open wit…
The Game of Graph Nim on graphs with four edges
Sayar Karmakar, Moumanti Podder, Souvik Roy +1
This work is concerned with the study of the Game of Graph Nim -- a class of two-player combinatorial games -- on graphs with edges. To each edge of such a graph is assigned a…