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math.PR2024
Repeated Block Averages: entropic time and mixing profiles
Pietro Caputo, Matteo Quattropani, Federico Sau
We consider randomized dynamics over the -simplex, where at each step a random set, or block, of coordinates is evenly averaged. When all blocks have size 2, this reduces to the…
math.PR2024
Cutoff phenomenon in nonlinear recombinations
Pietro Caputo, Cyril Labbé, Hubert Lacoin
We investigate a quadratic dynamical system known as nonlinear recombinations. This system models the evolution of a probability measure over the Boolean cube, converging to the st…