3 papers
cond-mat.stat-mech2021
Expected maximum of bridge random walks & Lévy flights
Benjamin De Bruyne, Satya N. Majumdar, Gregory Schehr
We consider one-dimensional discrete-time random walks (RWs) with arbitrary symmetric and continuous jump distributions , including the case of Lévy flights. We study the exp…
cond-mat.stat-mech2021
Wigner function for noninteracting fermions in hard wall potentials
Benjamin De Bruyne, David S. Dean, Pierre Le Doussal +2
The Wigner function is a useful quantity to characterize the quantum fluctuations of an -body system in its phase space. Here we study $W_N({\bf x}, {\bf…
cond-mat.mtrl-sci2019
Inferring crystal electronic properties from experimental data sets through Semidefinite Programming
Benjamin De Bruyne, Jean-Michel Gillet
Constructing a quantum description of crystals from scattering experiments is of paramount importance to explain their macroscopic properties and to evaluate the pertinence of theo…