The multifractal analysis of Birkhoff averages and large deviations

By Yakov Pesin, H. Weiss. 2001

61 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/84638e56f07be8f9f0fa9ca86b3043670d95c0ef

How researchers see this paper

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

In Economics and Econometrics

1. T. Jordan

In Mathematical Physics

1. Lingmin Liao
2. G. Iommi
3. T. Jordan
4. A. Fan
5. De-Jun Feng
6. Daniel Thompson

Citations in the corpus

• Generic points in systems of specification and Banach valued Birkhoff ergodic average (2008, background): “See [6, 14] for classical discussions, [2, 3, 20, 21, 23, 29] for recent developments on Birkhoff averages, and [1, 5, 10, 12, 4] for the multifractal analysis of measures.”
• Multifractal analysis of Birkhoff averages for countable Markov maps (2010, background): “Initially, this was studied in the symbolic space for Hölder potentials by Pesin and Weiss [27] and for general continuous potentials by Fan et al [6].”