74 citations · 681 across the 51 of their papers we have counts for
4 papers · 1 filter
Invariance principle for Mott variable range hopping and other walks on point processes
P. Caputo, A. Faggionato, T. Prescott
We consider a random walk on a homogeneous Poisson point process with energy marks. The jump rates decay exponentially in the A-power of the jump length and depend on the energy ma…
Proof of Aldous' spectral gap conjecture
Pietro Caputo, Thomas M. Liggett, Thomas Richthammer
Aldous' spectral gap conjecture asserts that on any graph the random walk process and the random transposition (or interchange) process have the same spectral gap. We prove the con…
Convergence to equilibrium of biased plane partitions
Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli
We study a single-flip dynamics for the monotone surface in (2+1) dimensions obtained from a boxed plane partition. The surface is analyzed as a system of non-intersecting simple p…
Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph
Charles Bordenave, Pietro Caputo, Djalil Chafaï
We consider the random reversible Markov kernel K obtained by assigning i.i.d. nonnegative weights to the edges of the complete graph over n vertices and normalizing by the corresp…