arXiv:2502.07765 Abstract | arXiv Analytics

arXiv:2502.07765 [math.DS]Abstract References Reviews Resources

Central Limit Theorem for Sequential Dynamical Systems

Published 2025-02-11Version 1

We present a general approach to establish the Central Limit Theorem with error bounds for sequential dynamical systems. The main tool we develop is the application to this setting of a projective metric on complex cones, following the ideas introduced by Rugh and Dubois. To demonstrate the power of the proposed setting, we apply it to both sequential expanding maps, where similar results are known, and to sequential dispersing billiards, for which no such results are currently known.

Comments: 61 pages

Categories: math.DS

Subjects: 37A50, 60F05, 37D20, 37D40

Keywords: central limit theorem, sequential dynamical systems, error bounds, main tool, general approach

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