74 citations · 681 across the 51 of their papers we have counts for
62 papers
Uniqueness, mixing, and optimal tails for Brownian line ensembles with geometric area tilt
Pietro Caputo, Shirshendu Ganguly
We consider non-colliding Brownian lines above a hard wall, which are subject to geometrically growing (given by a parameter ) area tilts, which we call the -tilted line en…
Nonlinear dynamics for the Ising model
Pietro Caputo, Alistair Sinclair
We introduce and analyze a natural class of nonlinear dynamics for spin systems such as the Ising model. This class of dynamics is based on the framework of mass action kinetics, w…
Cutoff for the Averaging process on the hypercube and complete bipartite graphs
Pietro Caputo, Matteo Quattropani, Federico Sau
We consider the averaging process on a graph, that is the evolution of a mass distribution undergoing repeated averages along the edges of the graph at the arrival times of indepen…
Nonlinear recombinations and generalized random transpositions
Pietro Caputo, Daniel Parisi
We study a nonlinear recombination model from population genetics as a combinatorial version of the Kac-Boltzmann equation from kinetic theory. Following Kac's approach, the nonlin…
Entropy inequalities for random walks and permutations
Alexandre Bristiel, Pietro Caputo
We consider a new functional inequality controlling the rate of relative entropy decay for random walks, the interchange process and more general block-type dynamics for permutatio…
Rankings in directed configuration models with heavy tailed in-degrees
Xing Shi Cai, Pietro Caputo, Guillem Perarnau +1
We consider the extremal values of the stationary distribution of sparse directed random graphs with given degree sequences and their relation to the extremal values of the in-degr…