Hausdorff Dimension of Measures¶via Poincaré Recurrence

By Luís Barreira, B. Saussol. 2001

166 citations recorded by the source corpus.

Subfields: Cell Biology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f61918655cfca35191889e233e3d4b2677675cc7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Cell Biology

1. N. Haydn
2. Bao-Wei Wang

In Mathematical Physics

1. Yann Bugeaud
2. Bao-Wei Wang
3. N. Haydn
4. Boris Adamczewski
5. Michel Waldschmidt
6. Samir Siksek

In Statistical and Nonlinear Physics

1. Yann Bugeaud
2. N. Haydn
3. Bao-Wei Wang
4. Samir Siksek

Citations in the corpus

• Entry and return times distribution (2013, background): “This was shown in [71] to be true almost everywhere for invariant measures of maps on compact manifolds.”
• AN INTRODUCTION TO QUANTITATIVE POINCARÉ RECURRENCE IN DYNAMICAL SYSTEMS (2009, unknown): “rotations with special diophantine type [6]).”
• Distribution of full cylinders and the Diophantine properties of the orbits in $\beta$-expansions (2014, background): “For the background and more results on shrinking target problems, the reader is referred to [1], [2], [3], [4], [8], [9], [10], [11], [12], [20], [21], [24], and [25] and the references quoted therein.”