Escape rates for Gibbs measures

DOI10.1017/S0143385711000058zbMath1263.37004arXiv1009.0086OpenAlexW2963276502MaRDI QIDQ2908167

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0086

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Dimension estimates for sets of uniformly badly approximable systems of linear forms, The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics, Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems, Almost sure convergence of maxima for chaotic dynamical systems, Entropy continuity for interval maps with holes, Rare events for the Manneville-Pomeau map, Extremal dichotomy for uniformly hyperbolic systems, Dimension of self-affine sets with holes, Correlation dimension and phase space contraction via extreme value theory, Lyapunov exponents for transfer operator cocycles of metastable maps: A quarantine approach, Extreme value laws for dynamical systems with countable extremal sets, On the Perron root and eigenvectors associated with a subshift of finite type, Equilibrium states, pressure and escape for multimodal maps with holes, Faster than expected escape for a class of fully chaotic maps, Laws of rare events for deterministic and random dynamical systems, Hitting times and periodicity in random dynamics, On the dimension drop conjecture for diagonal flows on the space of lattices, Dimension estimates for the set of points with non-dense orbit in homogeneous spaces, Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems, Escape-rate response to noise of all amplitudes in leaky chaos, A gentle introduction to anisotropic Banach spaces, Hitting and escaping statistics: mixing, targets and holes, Escape rates for special flows and their higher order asymptotics, Where and when orbits of chaotic systems prefer to go, Dimension of generic self-affine sets with holes, Effective uniqueness of Parry measure and exceptional sets in ergodic theory, Extremal behaviour of chaotic dynamics, Slow and fast escape for open intermittent maps, Speed of convergence for laws of rare events and escape rates, Open maps: small and large holes with unusual properties, Escape rate and conditional escape rate from a probabilistic point of view, Pressure and escape rates for random subshifts of finite type, Local escape rates for -mixing dynamical systems, Asymptotic escape rates and limiting distributions for multimodal maps, A Poisson limit theorem for Gibbs–Markov maps, Rare events for Cantor target sets, Extremes and extremal indices for level set observables on hyperbolic systems ^*, Exceptional sets in homogeneous spaces and Hausdorff dimension, Eigenvalues of Transfer Operators for Dynamical Systems with Holes, Periodic Points, Escape Rates and Escape Measures, Why escape is faster than expected, Clustering of extreme events created by multiple correlated maxima

Cites Work