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Publications Influence

Universality of the mean-field for the Potts model

- A. Basak, S. Mukherjee
- Mathematics, Physics
- 17 August 2015

We consider the Potts model with q colors on a sequence of weighted graphs with adjacency matrices $$A_n$$An, allowing for both positive and negative weights. Under a mild regularity condition on… Expand

36 8- PDF

Estimation in exponential families on permutations

- S. Mukherjee
- Mathematics
- 3 July 2013

Asymptotics of the normalizing constant is computed for a class of one parameter exponential families on permutations which includes Mallows model with Spearmans's Footrule and Spearman's Rank… Expand

26 6- PDF

No zero-crossings for random polynomials and the heat equation

- A. Dembo, S. Mukherjee
- Mathematics
- 11 August 2012

Consider random polynomial ∑ni=0aixi of independent mean-zero normal coefficients ai, whose variance is a regularly varying function (in i) of order α. We derive general criteria for continuity of… Expand

28 4- PDF

Exact and asymptotic results on coarse Ricci curvature of graphs

- B. Bhattacharya, S. Mukherjee
- Computer Science, Mathematics
- Discret. Math.
- 28 June 2013

TLDR

35 3- PDF

Inference in Ising Models

- B. Bhattacharya, S. Mukherjee
- Mathematics
- 25 July 2015

The Ising spin glass is a one-parameter exponential family model for binary data with quadratic sufficient statistic. In this paper, we show that given a single realization from this model, the… Expand

30 3- PDF

Joint estimation of parameters in Ising model

- P. Ghosal, S. Mukherjee
- Mathematics
- 19 January 2018

We study joint estimation of the inverse temperature and magnetization parameters $(\beta,B)$ of an Ising model with a non-negative coupling matrix $A_n$ of size $n\times n$, given one sample from… Expand

15 3- PDF

Estimation of parameters in non uniform models on permutations

- S. Mukherjee
- Mathematics
- 3 July 2013

Using large deviation results for a uniformly random permutation in $S_n$, asymptotics of normalizing constants are computed and limits of permutations obtained for some non uniform distributions on… Expand

7 3

Scaling single cell transcriptomics through split pool barcoding

- A. Rosenberg, Charles M Roco, +9 authors G. Seelig
- Biology
- 2 February 2017

Constructing an atlas of cell types in complex organisms will require a collective effort to characterize billions of individual cells. Single cell RNA sequencing (scRNA-seq) has emerged as the main… Expand

45 2

Large deviation for the empirical degree distribution of an Erdos-Renyi graph

- S. Mukherjee
- Mathematics
- 15 October 2013

With $(d_1,\cdots,d_n)$ denoting the labeled degrees of an Erdos Renyi graph with parameter $\beta/n$, the large deviation principle for $\frac{1}{n}\sum\limits_{j=1}^n\delta_{d_j}$ (the empirical… Expand

5 2- PDF

DEGREE SEQUENCE OF RANDOM PERMUTATION GRAPHS

- B. Bhattacharya, S. Mukherjee
- Mathematics
- 12 March 2015

In this paper we study the degree sequence of the permutation graph $G_{\pi_n}$ associated with a sequence $\pi_n\in S_n$ of random permutations. Joint limiting distributions of the degrees are… Expand

5 2- PDF