74 citations · 681 across the 51 of their papers we have counts for
4 papers · 2 filters
Recurrence and transience for long-range reversible random walks on a random point process
P. Caputo, A. Faggionato, A. Gaudilliere
We consider reversible random walks in random environment obtained from symmetric long--range jump rates on a random point process. We prove almost sure transience and recurrence r…
Spectrum of large random reversible Markov chains: two examples
Charles Bordenave, Pietro Caputo, Djalil Chafai
We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider…
Circular Law Theorem for Random Markov Matrices
Charles Bordenave, Pietro Caputo, Djalil Chafai
Consider an nxn random matrix X with i.i.d. nonnegative entries with bounded density, mean m, and finite positive variance sigma^2. Let M be the nxn random Markov matrix with i.i.d…
On the spectral gap of the Kac walk and other binary collision processes
Pietro Caputo
We give a new and elementary computation of the spectral gap of the Kac walk on the N-sphere. The result is obtained as a by-product of a more general observation which allows to r…