Statistical properties of one-dimensional maps under weak hyperbolicity assumptions

Abstract

For a real or complex one-dimensional map satisfying a weak hyperbolicity assumption, we study the existence and statistical properties of physical measures, with respect to geometric reference measures. We also study geometric properties of these measures.

Definite version

References in corpus (4)

• Almost Sure Invariance Principle For Nonuniformly Hyperbolic Systems
• Non-uniform hyperbolicity in complex dynamics
• An invariance principle for maps with polynomial decay of correlations
• On non-uniformly hyperbolicity assumptions in one-dimensional dynamics

Cited by in corpus (4)

• On stochastic stability of non-uniformly expanding interval maps
• Large deviation principles of one-dimensional maps for Hölder continuous potentials
• On stochastic stability of expanding circle maps with neutral fixed points
• Wild attractors and thermodynamic formalism