Towards a Morse theory for random dynamical systems

Crauel, Hans GND; Duc, Luu Hoang; Siegmund, Stefan

A generalization of the concepts of deterministic Morse theory to random dynamical systems is presented. Using the notions of attraction and repulsion in probability, the main building blocks of Morse theory such as attractor-repeller sets, Morse sets, and the Morse decomposition are obtained for random dynamical systems.

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Crauel, Hans / Duc, Luu Hoang / Siegmund, Stefan: Towards a Morse theory for random dynamical systems. 2004.

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