Erdös-Renyi laws for dynamical systems

Cite

Related Material

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Nicol, Matthew

Formal Metadata

Title

Erdös-Renyi laws for dynamical systems

Title of Series

New Developments in Open Dynamical Systems and Their Applications (18w5061)

Number of Parts

Author

Nicol, Matthew

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/60077 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2018

Language

English

Content Metadata

Subject Area

Mathematics Physics

Genre

Workshop/Interactive Format Lecture

Abstract

Erdos-Renyi laws concern the almost sure behavior of time averages over time windows of varying length in a stationary time series. We discuss recent results on Erdos-Renyi laws for chaotic dynamical systems and their relation to rate of decay of correlations and local large deviations. Some of this work is joint with Nicolai Haydn (University of Southern California), Holger Kantz and Mozhdeh Massah (Max Planck Institute for Complex Systems, Dresden, Germany).