Work

Central Limit Theorem for Sequential Dynamical Systems

Year: 2025

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2502.07765

Authors: Demers, Mark F., Liverani, Carlangelo

Institution: University of Rome Tor Vergata

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Istituto Nazionale di Alta Matematica "Francesco Severi", Ministero dell’Istruzione, dell’Università e della Ricerca, Gruppo Nazionale per la Fisica Matematica

Awards: G2361080894, RUI: Nonuniformly Hyperbolic and Extended Dynamical Systems, Regular and stochastic behaviour in dynamical systems, RUI: Equilibrium and Nonequilibrium Dynamics for Systems of Physical Origin

OpenAlex ID: W4407425892

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