Statistical aspects of mean field coupled intermittent maps

2023/03/09 by Bahsoun, Wael, Korepanov, Alexey · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2303.05311

Abstract

We study infinite systems of mean field weakly coupled intermittent maps in the Pomeau-Manneville scenario. We prove that the coupled system admits a unique ``physical'' stationary state, to which all absolutely continuous states converge. Moreover, we show that suitably regular states converge polynomially.

Cited by

• A local limit theorem for a random walk in an intermittent dynamical environment

Related

• Intermittent quasistatic dynamical systems: weak convergence of\n fluctuations
• Extensive numerical investigations on the ergodic properties of two coupled Pomeau-Manneville maps
• Mean field coupled dynamical systems: Bifurcations and phase transitions
• Phase diagram for intermittent maps
• Mean-Field Coupled Systems and Self-Consistent Transfer Operators: A Review