Use this URL to cite or link to this record in EThOS:
Title: Rigorous computations of dynamical quantities
Author: Niu, Xiaolong
ISNI:       0000 0004 5919 2756
Awarding Body: Loughborough University
Current Institution: Loughborough University
Date of Award: 2016
Availability of Full Text:
Access from EThOS:
Access from Institution:
This thesis is concerned with rigorous computation of dynamical quantities. In particular, we provide rigorous computation of diffusion coefficients for uniformly expanding maps of the interval. Moreover, we provide a rigorous computational scheme for linear response and we apply it in the case of uniformly expanding circle maps. Our results have been implemented successfully on a computer. Examples are included to illustrate the computer implementation.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available