180 citations · 1.3k across the 62 of their papers we have counts for
63 papers
Logarithmic singularity in a dynamical quantum phase transition for free fermions
Yasser Bezzaz, Dimitri M. Gangardt, Pavel L. Krapivsky +3
We study the Loschmidt echo in a system of N non-interacting spinless lattice fermions released from a double-domain-wall initial state. In the large-N limit, the return probabilit…
Expansion of a free Fermi gas released from an isotropic trapping potential
J M Luck, P L Krapivsky
We consider a system of non-interacting fermions prepared in the many-body ground state of an isotropic trapping potential in any dimension, and investigate the ballistic expansion…
Zeta-regularization and natural boundaries: Sums and products of integers and primes
P. L. Krapivsky, J. M. Luck
Euler regularized the divergent product of all natural numbers and found beautiful formulas for regularized sums of integer powers of natural numbers. These derivations essentially…
The Riviera model with egoistical settlers
P. L. Krapivsky
The Riviera model mimics a densifying settlement along the coastline. In the lattice version, houses are built sequentially in empty sites with the constraint that every newly buil…
Aggregation-Fragmentation Processes with Broken Detailed Balance
P. L. Krapivsky
We study aggregation-fragmentation processes in which pairs of clusters can aggregate, and each cluster can break into two fragments. If the rates of aggregation and fragmentation…
Regularized products of Gauss and Eisenstein integers and primes
P. L. Krapivsky, J. M. Luck
We provide heuristic computations à la Euler of the regularized infinite products of Gauss and Eisenstein integers and primes. Our approach, yielding explicit expressions, is inspi…