3 papers
math.DS2026
Repulsive Mean-Field Couplings and Self-Consistent Transfer Operators
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
We study a one-dimensional self-consistent transfer operator generated by a repulsive mean-field coupling. The interaction admits a natural interpretation as a myopic relocation dy…
math.DS2024
Stability of Fixed Points for Nonlinear Selfconsistent Transfer Operators via Cone Contractions
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
In this paper we investigate the action of self-consistent transfer operators (STOs) on Birkhoff cones and give sufficient conditions for stability of their fixed points. Our appro…
math.DS2024
The differential of self-consistent transfer operators and the local convergence to equilibrium of mean field strongly coupled dynamical systems
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
We consider the differential of a self-consistent transfer operator at a fixed point of the operator itself and show that its spectral properties can be used to establish a kind of…