5 papers
Weakly universal dynamical correlations between eigenvalues of large random matrices
Kirone Mallick, Gabriel Téllez, Frédéric van Wijland
It was shown roughly thirty years ago that the density correlations of eigenvalues of large random matrices display a universal form, independent of most of the details of the dist…
Expansion into the vacuum of stochastic gases with long-range interactions
P. L. Krapivsky, Kirone Mallick
We study the evolution of a system of many point particles initially concentrated in a small region in dimensions. Particles undergo overdamped motion caused by pairwise intera…
Semi-infinite simple exclusion process: from current fluctuations to target survival
Aurélien Grabsch, Hiroki Moriya, Kirone Mallick +2
The symmetric simple exclusion process (SEP), where diffusive particles cannot overtake each other, is a paradigmatic model of transport in the single-file geometry. In this model,…
Current fluctuations in the Dyson Gas
Rahul Dandekar, P. L. Krapivsky, Kirone Mallick
We study large fluctuations of the current in a Dyson gas, a 1D system of particles interacting through a logarithmic potential and subjected to random noise. We adapt the macrosco…
Exact solutions to macroscopic fluctuation theory through classical integrable systems
Kirone Mallick, Hiroki Moriya, Tomohiro Sasamoto
We give a short overview of recent developments in exact solutions for macroscopic fluctuation theory by using connections to classical integrable systems. A calculation of the cum…