S. Mukherjee

activity

20122026

most citedEstimation in exponential families on permutations

30 citations · 194 across the 56 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.PR2017

The Second Moment Phenomenon for Monochromatic Subgraphs

Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee

What is the chance that among a group of $n$ friends, there are $s$ friends all of whom have the same birthday? This is the celebrated birthday problem which can be formulated as t…

math.PR2017

Monochromatic Subgraphs in Randomly Colored Graphons

Bhaswar B. Bhattacharya, Sumit Mukherjee

Let $T (H, G_{n})$ be the number of monochromatic copies of a fixed connected graph $H$ in a uniformly random coloring of the vertices of the graph $G_{n}$ . In this paper we give a comp…

math.PR2017

Limit Theorems for Monochromatic Stars

Bhaswar B. Bhattacharya, Sumit Mukherjee

Let $T (K_{1, r}, G_{n})$ be the number of monochromatic copies of the $r$ -star $K_{1, r}$ in a uniformly random coloring of the vertices of the graph $G_{n}$ . In this paper we provide…

math.PR2017

Persistence exponents in Markov chains

Frank Aurzada, Sumit Mukherjee, Ofer Zeitouni

We prove the existence of the persistence exponent $lo g λ := n \to \infty lim \frac{1}{n} lo g P_{μ} (X_{0} \in S, \dots, X_{n} \in S)$ for a class of time homogeneous Markov chains…