Pseudo-orbits, stationary measures and metastability

DOI10.1080/14689367.2014.890172zbMath1350.37002arXiv1211.2952OpenAlexW2082270088MaRDI QIDQ2875541

Sandro Vaienti, Wael Bahsoun, Huyi Hu

Publication date: 8 August 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2952

zbMATH Keywords

metastabilityrandom perturbationspseudo-orbitsexpanding maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

Stochastic and statistical stability of the classical Lorenz flow under perturbations modeling anthropogenic type forcing ⋮ Analysis of Bank Leverage via Dynamical Systems and Deep Neural Networks ⋮ Stochastic stability of the classical Lorenz flow under impulsive type forcing ⋮ Extreme value distributions of observation recurrences ⋮ Empiric Stochastic Stability of Physical and Pseudo-physical Measures

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral analysis of the transfer operator for the Lorentz gas
• Attractors via random perturbations
• Small random perturbations of dynamical systems and the definition of attractors
• Stochastic stability in some chaotic dynamical systems
• On the spectra of randomly perturbed expanding maps
• Escape rates and Perron-Frobenius operators: open and closed dynamical systems
• Absolutely continuous invariant measures for multidimensional expanding maps
• Good Banach spaces for piecewise hyperbolic maps via interpolation
• Rare events, escape rates and quasistationarity: Some Exact formulae
• METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
• THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES
• Approximating invariant densities of metastable systems
• Metastability of certain intermittent maps
• Absolutely continuous invariant measures for non-uniformly expanding maps
• Stability of statistical properties in two-dimensional piecewise hyperbolic maps
• Stochastic stability for piecewise expanding maps in ℝ^d
• Multidimensional expanding maps with singularities: a pedestrian approach
• Escape rates formulae and metastablilty for randomly perturbed maps
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness

This page was built for publication: Pseudo-orbits, stationary measures and metastability