Accurate bounds on Lyapunov exponents for expanding maps of the interval
Mark Pollicott, Polina Vytnova
TL;DR
This paper introduces a straightforward and effective method for rigorously estimating Lyapunov exponents in expanding interval maps, demonstrated through standard examples.
Contribution
The paper presents a novel, simple technique for obtaining rigorous bounds on Lyapunov exponents for expanding maps of the interval.
Findings
Method provides accurate bounds on Lyapunov exponents.
Applicable to standard examples of expanding maps.
Demonstrates effectiveness and simplicity of the approach.
Abstract
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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