What is a fundamental domain?

2023/08/23 by Jürgen Elstrodt, Elstrodt, Jürgen
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Analytic and geometric function theory #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2308.11997

Abstract

We show by means of various examples that many of the current definitions of the notion of fundamental domain of a Fuchsian group lack an extra condition ensuring that the domain differs from a measurable fundamental set at most by a null set.

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