Showing 2025Show all
2 papers · 1 filter
math.PR2025
Kac's Program and Relative Entropy Decay for Nonlinear Spin-Exchange Dynamics
Pietro Caputo, Mario Morellini
We introduce and analyze a nonlinear exchange dynamics for Ising spin systems with arbitrary interactions. The evolution is governed by a quadratic Boltzmann-type equation that con…
math.PR2025
A universal cutoff phenomenon for mean-field exchange models
Pietro Caputo, Matteo Quattropani, Federico Sau
We study a broad class of high-dimensional mean-field exchange models, encompassing both noisy and singular dynamics, along with their dual processes. This includes a generalized v…