Rohit Chaudhuri

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math.PR2026

Elephant Random Walk on the Triangular Lattice

Rohit Chaudhuri

In this report, we introduce the elephant random walk on the triangular lattice over $R^{2}$ incorporating directions by extending the model developed in \cite{baur2016elephant}. We…

math.PR2026

A Phase Transition For Repeated K-Averages

Rohit Chaudhuri

Let $x_{1}, \dots, x_{n}$ be a fixed sequence of real numbers. At each stage, pick $k$ integers ${I_{i}}_{1 \leq i \leq k}$ uniformly at random without replacement and then for each $…

math.PR2020

Universality and least singular values of random matrix products: a simplified approach

Rohit Chaudhuri, Vishesh Jain, Natesh S. Pillai

In this note, we show how to provide sharp control on the least singular value of a certain translated linearization matrix arising in the study of the local universality of produc…