Central Limit Theorems in Deterministic Systems
Yuwen Wang
TL;DR
This paper discusses central limit theorems in deterministic dynamical systems, focusing on martingale methods and their applications to prove CLTs in such systems.
Contribution
It provides new CLT results for deterministic systems using martingale techniques, expanding understanding of statistical behavior in these systems.
Findings
CLT established for martingales in deterministic systems
Main results on CLT for dynamic systems with martingale and backward martingale cases
Martingale approach as a key tool for proving CLTs in deterministic dynamics
Abstract
This is a note on some results of the central limit theorem for deterministic dynamical systems. First, we give the central limit theorem for martingales, which is a main tool. Then we give the main results on the central limit theorem in dynamic system in the cases of martingale and backward martingale
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematical and Theoretical Epidemiology and Ecology Models · Stability and Controllability of Differential Equations