74 citations · 681 across the 51 of their papers we have counts for
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math.PR2022★ 10 cited
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…
math.PR2022★ 2 cited
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…