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Ergodic Theory and Dynamical Systems is a peer-reviewed journal published by Cambridge University Press, covering Mathematical Dynamics and Fractals, Quantum chaos and dynamical systems, Geometric and Algebraic Topology.
| Publisher | Cambridge University Press |
|---|---|
| Reference style | Numbered Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Ergodic Theory and Dynamical Systems 12 (2023) 45–58.
Formats any DOI in the closest standard style — Ergodic Theory and Dynamical Systems has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Mathematical Dynamics and Fractals Quantum chaos and dynamical systems Geometric and Algebraic Topology Advanced Differential Equations and Dynamical Systems Advanced Topology and Set Theory |
| ISSN | 0143-3857 |
| Citation impact (2-yr) | 0.49 |
| h-index | 109 |
| i10-index | 1,800 |
| Total citations | 76,725 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | journals.cambridge.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Abstract We consider diffeomorphisms of surfaces leaving invariant an ergodic Borel probability measure μ. Define HD (μ) to be the infimum of Hausdorff dimension of sets having full μ-measure. We prove a formula relating HD (μ) to the entropy and Lyapunov exponents of the map. Other classical notions of fractional dimension such as capacity and…
Abstract We prove that for any amenable non-singular countable equivalence relation R ⊂ X × X , there exists a non-singular transformation T of X such that, up to a null set: It follows that any two Cartan subalgebras of a hyperfinite factor are conjugate by an automorphism.
Abstract The purpose of this note is to prove a conjecture of D. Sullivan that when the Julia set J of a rational function f is hyperbolic, the Hausdorff dimension of J depends real analytically on f . We shall obtain this as corollary of a general result on repellers of real analytic maps (see…
We present an original approach which allows us to investigate the statistical properties of a non-uniformly hyperbolic map on the interval. Based on a stochastic approximation of the deterministic map, this method essentially gives the optimal polynomial bound for the decay of correlations, the degree depending on the order of the tangency at the neutral…
Abstract In this paper the existence of a unique measure of maximal entropy for rational endomorphisms of the Riemann sphere is established. The equidistribution of pre-images and periodic points with respect to this measure is proved.
