2 papers
math.PR2024
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…
math.PR2024
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…