Anirban Basak

collaborators

3 papers

math.PR2025

Spectral properties of random perturbations of non-normal Toeplitz matrices

Anirban Basak

Spectral properties of Toeplitz operators and their finite truncations have long been central in operator theory. In the finite dimensional, non-normal setting, the spectrum is not…

math.PR2025

Potts and random cluster measures on locally regular-tree-like graphs

Anirban Basak, Amir Dembo, Allan Sly

Fixing $I^^{2} \geq 0$ and an integer $q \geq 2$ , consider the ferromagnetic $q$ -Potts measures $I^¼_{n}^{I^^{2}, B}$ on finite graphs $G_{n}$ on $n$ vertices, with external field strength $B…

math.PR2025

Upper tail bounds for irregular graphs

Anirban Basak, Shaibal Karmakar

We consider the upper tail large deviations of subgraph counts for irregular graphs $H$ in $G (n, p)$ , the sparse ErdÅs-RÃ©nyi graph on $n$ vertices with edge conn…