Accurate bounds on Lyapunov exponents for expanding maps of the interval

Mark Pollicott; Polina Vytnova

doi:10.1007/s00220-022-04495-7

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Accurate bounds on Lyapunov exponents for expanding maps of the interval

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Accurate bounds on Lyapunov exponents for expanding maps of the interval

Mark Pollicott and Polina Vytnova

Communications in mathematical physics, Vol.397(1), pp.485-502

01/01/2023

DOI: https://doi.org/10.1007/s00220-022-04495-7

PMID: 36714455

Abstract

Mathematics - Dynamical Systems

In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples.

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Title: Accurate bounds on Lyapunov exponents for expanding maps of the interval
Creators: Mark Pollicott - University of Warwick
Polina Vytnova - University of Surrey, Department of Mathematics
Publication Details: Communications in mathematical physics, Vol.397(1), pp.485-502
Publisher: Springer Nature
First online publication date: 17/11/2022
Publication Date: 01/01/2023
Date accepted for publication: 02/08/2022
Grants: Dynamical zeta functions and resonances for infinite area surfaces, EP/T001674/1, Engineering and Physical Sciences Research Council (United Kingdom, Swindon) - EPSRC
Grant note: M. Pollicott was partly supported by ERC-Advanced Grant 833802-Resonances and EPSRC grant EP/T001674/1. P. Vytnova was partly supported by EPSRC grant EP/T001674/1.
Identifiers: 99817459002346; WOS:000884966300001
Academic Unit: School of Maths and Physics
Language: English
Resource Type: Journal article

Accurate bounds on Lyapunov exponents for expanding maps of the interval

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