# Law Of Large Numbers For Random Dynamical Systems

Source: [Law Of Large Numbers For Random Dynamical Systems](<https://www.sota2.com/research/paper/68fa50351e209131ce96985f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:43:41.494Z

Authors: K. Horbacz, M. \\'Sl\\k{e}czka

Published: 2013-04-25T10:28:46.000Z

## Abstract

We cosider random dynamical systems with randomly chosen jumps. The choice of deterministic dynamical system and jumps depends on a position. We proove the existence of an exponentially attractive invariant measure and the strong law of large numbers.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1304.6863>)

[PDF](<https://arxiv.org/pdf/1304.6863.pdf>)