On linear response for discontinuous perturbations of smooth endomorphisms
Abstract
We consider discontinuous perturbations of smooth endomorphisms and show that if the perturbed family satisfies uniform mixing assumptions on standard pairs the physical measure is Lipschitz in the parameter defying the perturbation. We also study the problem of linear response for this class of perturbations. Finally we discuss the applicability of the abstract assumptions proving linear response for a concrete example.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Advanced Differential Equations and Dynamical Systems
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Advances in Mathematics
- Volume
- 497
- Pages
- 111008–111008
- Publication date
- 6 May 2026
- Language
- EN