Universal gap statistics for random walks for a class of jump densities

Matteo Battilana, Satya N. Majumdar, Gregory Schehr

We study the order statistics of a random walk (RW) of $n$ steps whose jumps are distributed according to symmetric Erlang densities $f_p(\eta )\sim |\eta {|}^p{e}^{-|\eta |}$, parametrized by…