Anirban Basak


I am a reader at the International Centre for Theoretical Sciences (ICTS) of Tata Institute of Fundamental Research (TIFR). My research interests lie in probability theory and its application in other fields. In particular I have recently worked on random matrices, statistical physics, (pseudo)-random graphs, and interacting particle system. I can be reached at my email anirban.basak@icts.res.in. Here is a copy of my CV.

Previously I was a postdoctoral fellow at the Mathematics department in Weizmann Institute of Science. My mentor was Ofer Zeitouni. Prior to that I spent two years at Duke Mathematics Department working as a visiting assistant professor.

I obtained Ph.D. from Stanford Statistics Department in June, 2014. My thesis advisor was Amir Dembo. I completed B.Stat., and M.Stat. from Indian Statistical Institute, Kolkata. In my final year of M.Stat., I wrote a dissertation on random matrices, supervised by Arup Bose.

Published/Accepted papers
The circular law for sparse non-Hermitian matrices, with Mark Rudelson. The Annals of Probability, to appear.
Regularization of non-normal matrices by Gaussian noise - the banded Toeplitz and twisted Toeplitz cases, with Elliot Paquette and Ofer Zeitouni. Forum of Mathematics, Sigma, 7, E3, 2019.
Diffusion limit for the partner model at the critical value, with Rick Durrett and Eric Foxall. Electronic Journal of Probability, 23, paper no. 102, 42 pp, 2018.
Circular law for the sum of random permutation matrices, with Nicholas Cook and Ofer Zeitouni. Electronic Journal of Probability, 23, paper no. 33, 51 pp, 2018.
Invertibility of sparse non-Hermitian matrices, with Mark Rudelson. Advances in Mathematics, 310, 426–483, 2017.
Universality of the mean-field for the Potts model , with Sumit Mukherjee. Probability Theory and Related Fields, 168(3), 557-600, 2017.
Ferromagnetic Ising measures on large locally tree-like graphs, with Amir Dembo. The Annals of Probability, 45(2), 780–823, 2017.
Limiting spectral distribution of a class of Hankel type random matrices, with Arup Bose and Soumendu Sundar Mukherjee. Random Matrix Theory and Application, 4(3), 1550010, 2015.
Limiting spectral distribution of sample autocovariance matrices, with Arup Bose and Sanchayan Sen. Bernoulli Journal , 20(3), 1234-1259, 2014.
Limiting spectral distribution of sum of unitary and orthogonal matrices, with Amir Dembo. Electronic Communications in Probability, article 69, 2013.
Limiting spectral distribution of some band matrices, with Arup Bose. Periodica Mathematica Hungarica, 63, 1, 113-150, 2011.
Balanced random Toeplitz and Hankel matrices, with Arup Bose. Electronic Communications in Probability, 15, 134-148, 2010.

Preprints
Spectrum of random perturbations of Toeplitz matrices with finite symbols, with Elliot Paquette and Ofer Zeitouni. Submitted.
Sharp transition of the invertibility of the adjacency matrices of sparse random graphs, with Mark Rudelson. Submitted.
Large subgraphs in pseudo-random graphs, with Shankar Bhamidi, Suman Chakraborty, and Andrew Nobel.
The evolving voter model on thick graphs, with Rick Durrett and Yuan Zhang.

Ongoing research
Outliers of random perturbation of Toeplitz matrices with finite symbol, with Ofer Zeitouni. Preliminary draft available on request.
Ferromagnetic Potts model on large locally tree-like graphs, with Amir Dembo and Allan Sly. Manuscript in preparation.
Local circular law for sparse random matrices, with Mark Rudelson.

Previous Teaching
MATH 230/STAT 230: Probability (undergraduate); MATH 340/STAT 231: Advanced introduction to probability; MATH 541/STAT 621: Applied stochastic processes; MATH 641: Probability (graduate); MATH 690-40: Topics in probability.