The recurrence dimension for piecewise monotonic maps of the interval

Franz Hofbauer

Displaying similar documents to “The recurrence dimension for piecewise monotonic maps of the interval”

A remark on Denjoy's inequality and Herman's theorem

Lennart Carleson (1979)

Publications Mathématiques de l'IHÉS

Similarity:

A multifractal analysis of an interesting class of measures

Antonis Bisbas (1996)

Colloquium Mathematicae

Similarity:

Hausdorff dimension for piecewise monotonic maps

Peter Raith (1989)

Studia Mathematica

Similarity:

Metric properties of alternating Lüroth series

Kalpazidou, Sofia, Knopfmacher, Arnold, Knopfmacher, John (1991)

Portugaliae mathematica

Similarity:

On the distribution function of the majorant of ergodic means

Lasha Epremidze (1992)

Studia Mathematica

Similarity:

Let T be a measure-preserving ergodic transformation of a measure space (X,,μ) and, for f ∈ L(X), let $f * = s u p_{N} 1 / N \sum_{m = 0}^{N - 1} f \circ T^{m}$ . In this paper we mainly investigate the question of whether (i) $ʃ_{a}^{\infty} | μ (f * > t) - 1 / t ʃ_{(f * > t)} f d μ | d t < \infty$ and whether (ii) $ʃ_{a}^{\infty} | μ (f * > t) - 1 / t ʃ_{(f > t)} f d μ | d t < \infty$ for some a > 0. It is proved that (i) holds for every f ≥ 0. (ii) holds if f ≥ 0 and f log log (f + 3) ∈ L(X) or if μ(X) = 1 and the random variables $f \circ T^{m}$ are independent. Related inequalities are proved. Some examples and counterexamples are constructed. Several known results are obtained as corollaries. ...

Sinai-Ruelle-Bowen measures for contracting Lorenz maps and flows

Roger J. Metzger (2000)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Process-level quenched large deviations for random walk in random environment

Firas Rassoul-Agha, Timo Seppäläinen (2011)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We consider a bounded step size random walk in an ergodic random environment with some ellipticity, on an integer lattice of arbitrary dimension. We prove a level 3 large deviation principle, under almost every environment, with rate function related to a relative entropy.