Quasistatic dynamics with intermittency

Abstract

We study an intermittent quasistatic dynamical system composed of nonuniformly hyperbolic Pomeau--Manneville maps with time-dependent parameters. We prove an ergodic theorem which shows almost sure convergence of time averages in a certain parameter range, and identify the unique physical family of measures. The theorem also shows convergence in probability in a larger parameter range. In the process, we establish other results that will be useful for further analysis of the statistical properties of the model.

arXiv comment20 pages

References in corpus (6)

• Mixing rates and limit theorems for random intermittent maps
• A central limit theorem for time-dependent dynamical systems
• Decay of correlation for random intermittent maps
• Non-stationary compositions of Anosov diffeomorphisms
• Dispersing billiards with moving scatterers
• Expanding and expansive time-dependent dynamics

Cited by in corpus (7)

• A spectral approach for quenched limit theorems for random expanding dynamical systems
• Central limit theorems for sequential and random intermittent dynamical systems
• Limit theorems for random expanding or hyperbolic dynamical systems and vector-valued observables
• Loss of memory and moment bounds for nonstationary intermittent dynamical systems
• Central limit theorems with a rate of convergence for time-dependent intermittent maps
• Sunklodas' approach to normal approximation for time-dependent dynamical systems
• An almost sure ergodic theorem for quasistatic dynamical systems