200 citations · 1.3k across the 44 of their papers we have counts for
11 papers · 1 filter
Gap statistics close to the quantile of a random walk
Bertrand Lacroix-A-Chez-Toine, Satya N. Majumdar, Grégory Schehr
We consider a random walk of steps starting at with a double exponential (Laplace) jump distribution. We compute exactly the distribution of the gap $d_{k,…
Noninteracting fermions in a trap and random matrix theory
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
We review recent advances in the theory of trapped fermions using techniques borrowed from random matrix theory (RMT) and, more generally, from the theory of determinantal point pr…
Entanglement Entropy and Full Counting Statistics for -Rotating Trapped Fermions
Bertrand Lacroix-A-Chez-Toine, Satya N. Majumdar, Gregory Schehr
We consider non-interacting fermions in a harmonic potential of trapping frequency and in a rotating frame at angular frequency , with . At zero temper…
Ground state energy of noninteracting fermions with a random energy spectrum
Hendrik Schawe, Alexander K. Hartmann, Satya N. Majumdar +1
We derive analytically the full distribution of the ground-state energy of non-interacting fermions in a disordered environment, modelled by a Hamiltonian whose spectrum consis…
Exact persistence exponent for the -diffusion equation and related Kac polynomials
Mihail Poplavskyi, Gregory Schehr
We compute the persistence for the -diffusion equation with random initial condition, i.e., the probability that the diffusion field, at a given point in the…
Non-interacting fermions in hard-edge potentials
Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal, Satya N. Majumdar +1
We consider the spatial quantum and thermal fluctuations of non-interacting Fermi gases of particles confined in -dimensional non-smooth potentials. We first present a thoro…