Applications of transfer operator methods to the dynamics of low-dimensional piecewise smooth maps

This thesis primarily concentrates on stochastic and spectral properties of the transfer operator generated by piecewise expanding maps (PWEs) and piecewise isometries (PWIs). We also consider the applications of the transfer operator in thermodynamic formalism. The original motivation stems from st...

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Bibliographic Details
Main Author: Zhang, Yiwei
Other Authors: Holland, Mark : Ashwin, Peter
Published: University of Exeter 2012
Subjects:
526
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.569135