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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★ 12 cited
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…