S. Mukherjee

collaborators

4 papers

math.SP2020

Point Spectrum of Periodic Operators on Universal Covering Trees

Jess Banks, Jorge Garza-Vargas, Satyaki Mukherjee

For any multi-graph $G$ with edge weights and vertex potential, and its universal covering tree $T$ , we completely characterize the point spectrum of operators $A_{\mathc…

math.PR2020

On Concentration Inequalities for Random Matrix Products

Tarun Kathuria, Satyaki Mukherjee, Nikhil Srivastava

Consider $n$ complex random matrices $X_{1}, \dots, X_{n}$ of size $d \times d$ sampled i.i.d. from a distribution with mean $E [X] = μ$ . While the concentration of averages of these matric…

math.SP2019

A special case of the existential version of the Non Commutative Khintchine inequality

Satyaki Mukherjee

Here we prove the following result. Let $A = {a_{ij}}_{i, j \in N}$ be a bounded operator. Then there exists a signing of $A$ such that $$||A\circ S||_2 < 2||A||_{l_\infty…

math.FA2019

Gaussian Regularization of the Pseudospectrum and Davies' Conjecture

Jess Banks, Archit Kulkarni, Satyaki Mukherjee +1

A matrix $A \in C^{n \times n}$ is diagonalizable if it has a basis of linearly independent eigenvectors. Since the set of nondiagonalizable matrices has measure zero, every…