180 citations · 1.3k across the 62 of their papers we have counts for
4 papers · 1 filter
Gradient structure and transport coefficients for strong particles
Davide Gabrielli, P. L. Krapivsky
We introduce and study a simple and natural class of solvable stochastic lattice gases. This is the class of \emph{Strong Particles}. The name is due to the fact that when they try…
Quantum return probability of a system of non-interacting lattice fermions
P. L. Krapivsky, J. M. Luck, K. Mallick
We consider non-interacting fermions performing continuous-time quantum walks on a one-dimensional lattice. The system is launched from a most compact configuration where the f…
Stability of a Giant Connected Component in a Complex Network
Maksim Kitsak, Alexander A. Ganin, Daniel A. Eisenberg +4
We analyze the stability of the network's giant connected component under impact of adverse events, which we model through the link percolation. Specifically, we quantify the exten…
Phase Transitions in Systems with Aggregation and Shattering
P. L. Krapivsky, W. Otieno, N. V. Brilliantov
We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model,…