233 citations · 2.2k across the 43 of their papers we have counts for
10 papers · 1 filter
Large Deviations of Extreme Eigenvalues of Random Matrices
David S. Dean, Satya N. Majumdar
We calculate analytically the probability of large deviations from its mean of the largest (smallest) eigenvalue of random matrices belonging to the Gaussian orthogonal, unitary an…
Level Density of a Bose Gas and Extreme Value Statistics
A. Comtet, P. Leboeuf, Satya N. Majumdar
We establish a connection between the level density of a gas of non-interacting bosons and the theory of extreme value statistics. Depending on the exponent that characterizes the…
On the Inelastic Collapse of a Ball Bouncing on a Randomly Vibrating Platform
Satya N. Majumdar, Michael J. Kearney
We study analytically the dynamics of a ball bouncing inelastically on a randomly vibrating platform, as a simple toy model of inelastic collapse. Of principal interest are the dis…
Partial Survival and Crossing Statistics for a Diffusing Particle in a Transverse Shear Flow
Alan J. Bray, Satya N. Majumdar
We consider a non-Gaussian stochastic process where a particle diffuses in the -direction, , subject to a transverse shear flow in the -direction, . A…
The Statistics of the Number of Minima in a Random Energy Landscape
Satya N. Majumdar, Olivier C. Martin
We consider random energy landscapes constructed from d-dimensional lattices or trees. The distribution of the number of local minima in such landscapes follows a large deviation p…
General flux to a trap in one and three dimensions
Robert M. Ziff, Satya N. Majumdar, Alain Comtet
The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is sol…