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Iterated statistical stability for random expanding dynamics

Published on:

7 December 2023

Primary Category:

Dynamical Systems

Paper Authors:

Davor Dragicevic,

Yeor Hafouta

Bullets

Key Details

Proves iterated weak invariance principle for wide class of random expanding systems

Gives quenched homogenization result for fast-slow systems with uniform fast component

Uses martingale decomposition adapted to nonuniform dynamics

AI generated summary

Iterated statistical stability for random expanding dynamics

This paper proves an iterated weak invariance principle, which establishes statistical stability over multiple iterations, for a broad class of non-uniformly expanding random dynamical systems. A quenched homogenization result is also given for fast-slow systems when the fast component is a uniformly expanding random system. The proofs rely on constructing an appropriate martingale decomposition.

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