ICTS faculty members Anupam Kundu and Anirban Basak have received the MATRICS Grant of the Anusandhan National Research Foundation (ANRF).
Prof. Basak aims to study three interconnected themes in random matrix theory: invertibility of sparse random matrices, nonlinear large deviations for spectral observables, and extreme value behavior of characteristic polynomials. His project titled, “Random Matrices: Invertibility, Large Deviations, and Extreme Values,” will address some of the fundamental problems such as sharp invertibility bound for sparse matrices with dependencies, large deviations of empirical spectral measure and extreme eigenvalues, and log-correlated structures in non-Hermitian random matrix ensembles. The outcomes are expected to deepen theoretical understanding of RMT and produce methods with broad impact across probability and related disciplines.
Prof. Kundu’s project titled, “Fluctuations and Dissipation of Many-particle Systems at Mesoscale,” aims to develop a comprehensive statistical framework to understand fluctuations and dissipation in one-dimensional many-body systems at mesoscopic scale, covering both integrable and non-integrable dynamics. By utilizing analytical mappings for hard-rod gases and numerical spectral analysis for non-integrable chains, the research seeks to elucidate the mesoscopic origins of noise and validate the assumptions of Ballistic Macroscopic Fluctuation Theory. Key objectives include probing sub-ballistic corrections, analyzing tagged particle dynamics, and investigating the impact of integrability-breaking noise on Generalized Hydrodynamics. Ultimately, this work will address fundamental gaps in understanding how microscopic processes give rise to macroscopic transport laws in systems ranging from cold atomic gases to low-dimensional classical fluids.
ICTS congratulates both of them for this prestigious recognition of their outstanding research work.