Regularity of the variance in quenched CLT for random intermittent dynamical systems
Abstract
Abstract We study random dynamical systems composed of Liverani–Saussol–Vaienti maps with varying parameters, without any mixing assumptions on the base space of random dynamics. We establish a quenched central limit theorem and identify conditions under which the associated limit variance varies continuously and differentiably with respect to perturbations of the random dynamics. Our arguments rely on recent results on statistical stability and linear response for random intermittent maps established by Dragičević et al [ J. Lond. Math. Soc. 111 (2025), e70150].
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Stability and Controllability of Differential Equations
Markov Chains and Monte Carlo Methods
Publication details
- Journal / source
- Ergodic Theory and Dynamical Systems
- Volume
- 46
- Issue
- 8
- Pages
- 1936–1968
- Publication date
- 7 April 2026
- Language
- EN