Poincar\'e-Birkhoff theorems in random dynamics

Álvaro Pelayo; Fraydoun Rezakhanlou

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arXiv · 1306.0821

Poincar\'e-Birkhoff theorems in random dynamics

Álvaro Pelayo·Fraydoun Rezakhanlou

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Abstract

We propose a generalization of the Poincar\'e-Birkhoff Theorem on area-preserving twist maps to area-preserving twist maps that are random with respect to an ergodic probability measure. The classical theory is a particular instance of the random theory we propose.

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BibTeX RIS

Álvaro Pelayo, Fraydoun Rezakhanlou. 2013-06-04. Poincar\'e-Birkhoff theorems in random dynamics. https://arxiv.org/abs/1306.0821

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