Memory loss for nonequilibrium open dynamical systems

DOI10.3934/dcds.2014.34.3747zbMath1351.37022OpenAlexW2321807868MaRDI QIDQ476721

Anushaya Mohapatra, William Ott

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.3747

zbMATH Keywords

convex coneHilbert metricconditional memory loss

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving maps of the interval (37E05)

Related Items

Intermittent quasistatic dynamical systems: weak convergence of fluctuations ⋮ Quasistatic dynamics with intermittency ⋮ An almost sure ergodic theorem for quasistatic dynamical systems ⋮ Equilibrium states for non-transitive random open and closed dynamical systems ⋮ Transport in reservoir computing ⋮ Projective cones for sequential dispersing billiards ⋮ Quasistatic dynamical systems ⋮ Concentration inequalities for sequential dynamical systems of the unit interval ⋮ Deterministic walks in random environment ⋮ Central limit theorems with a rate of convergence for time-dependent intermittent maps ⋮ A perturbation-theoretic approach to Lagrangian flow networks ⋮ Decay of correlations and memory loss for Lasota–Yorke convex maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dispersing billiards with moving scatterers
• Escape rates and physically relevant measures for billiards with small holes
• Memory loss for time-dependent dynamical systems
• Reliability of coupled oscillators
• Entropy formula for random transformations
• Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs
• Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set
• Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity
• Memory loss for time-dependent piecewise expanding systems in higher dimension
• Non-stationary compositions of Anosov diffeomorphisms
• Expanding maps of an interval with holes
• Entropy, Lyapunov exponents and escape rates in open systems
• Existence and convergence properties of physical measures for certain dynamical systems with holes
• On isotropic brownian motions
• Escape rates and conditionally invariant measures

This page was built for publication: Memory loss for nonequilibrium open dynamical systems