Linear response for one dimensional systems: formulae and rigorous numerics

This thesis studies the approximation of the long time statistical behaviour of one dimensional discrete time dynamical systems. First we find response formulae for a wide class of dynamical systems and apply them to the Gauss-Renyi random map to approximate the invariant density for systems near th...

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Bibliographic Details
Main Author: Toby Taylor-Crush
Format: Default Thesis
Published: 2022
Subjects:
Other mathematical sciences not elsewhere classified
linear response
Dynamical Systems
random dynamical systems
Mathematical Sciences not elsewhere classified
Online Access:https://dx.doi.org/10.26174/thesis.lboro.19738159.v1
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https://dx.doi.org/10.26174/thesis.lboro.19738159.v1

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