Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20579

Title: Rigorous computations of dynamical quantities
Authors: Niu, Xiaolong
Issue Date: 2016
Publisher: © Xiaolong Niu
Abstract: 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.
Description: A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.
URI: https://dspace.lboro.ac.uk/2134/20579
Appears in Collections:PhD Theses (Maths)

Files associated with this item:

File Description SizeFormat
Thesis-2016-Niu.pdf835.4 kBAdobe PDFView/Open
Form-2016-Niu.pdf927.23 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.