2 papers
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…