Use this URL to cite or link to this record in EThOS:
Title: Rates of convergence for statistical limit laws in deterministic dynamical systems
Author: Antoniou, Marios
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2018
Availability of Full Text:
Access from EThOS:
Access from Institution:
We investigate rates of convergence in statistical limit theorems for observables of deterministic dynamical systems and the corresponding questions in homogenization of fast-slow systems. In particular we first use martingale approximations to review the Central Limit Theorem for ergodic stochastic processes under a general framework for expanding maps and retrieve the corresponding rate of convergence to a normal law. We then consider the functional central theorem under a general framework and obtain using a new method the corresponding rate of convergence to a Brownian motion. The main result of the thesis is establishing rates of convergence in homogenization for deterministic maps and multiplicative noise.
Supervisor: Not available Sponsor: European Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics