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20162026
most citedSecond order logic on random rooted trees

1 citations · 1 across the 7 of their papers we have counts for

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15 papers · 1 filter

math.PR2026

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…

math.PR2026

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…

math.PR2025

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

math.PR2024

Largest eigenvalue of positive mean Gaussian matrices

Arijit Chakrabarty, Rajat Subhra Hazra, Moumanti Podder

This short note studies the fluctuations of the largest eigenvalue of symmetric random matrices with correlated Gaussian entries having positive mean. Under the assumption that the…

math.PR2024

Percolation games on rooted, edge-weighted random trees

Sayar Karmakar, Moumanti Podder, Souvik Roy +1

Consider a rooted Galton-Watson tree , to each of whose edges we assign, independently, a weight that equals with probability , with probability and

math.PR2024

Learning models on rooted regular trees with majority update policy: convergence and phase transition

Moumanti Podder, Anish Sarkar

We study a learning model in which an agent is stationed at each vertex of , the rooted tree in which each vertex has children. At any time-step $t \in \mathbb{…