74 citations · 681 across the 51 of their papers we have counts for
Showing 2015 · math.PRShow all
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math.PR2015
Random walk on sparse random digraphs
Charles Bordenave, Pietro Caputo, Justin Salez
A finite ergodic Markov chain exhibits cutoff if its distance to equilibrium remains close to its initial value over a certain number of iterations and then abruptly drops to near…
math.PR2015
Dynamics of Lattice Triangulations on Thin Rectangles
Pietro Caputo, Fabio Martinelli, Alistair Sinclair +1
We consider random lattice triangulations of rectangular regions with weight where is a parameter and denotes the total edge length of the triangu…
math.PR2015
Convergence to equilibrium for a directed (1+d)-dimensional polymer
Pietro Caputo, Julien Sohier
We consider a flip dynamics for directed (1+d)-dimensional lattice paths with length L. The model can be interpreted as a higher dimensional version of the simple exclusion process…