2 papers
cs.DS2026
Nonlinear Exchange Dynamics for Independent Sets
Mehrad Abbaszadeh Minab, Pietro Caputo, Zongchen Chen +2
In recent years, nonlinear dynamics derived from kinetic theory have gained attention in the context of sampling configurations of spin systems such as the Ising model. We focus on…
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…