On Finite Gauss Transform
Maxim Arnold, Anatoly Eydelzon
TL;DR
This paper introduces an invariant density for the finite Gauss transformation on the unit interval and explores its properties, contributing to the understanding of this mathematical transformation.
Contribution
It provides the first explicit invariant density for the finite Gauss transformation and analyzes its key properties.
Findings
Derived an explicit invariant density
Analyzed the transformation's ergodic properties
Enhanced understanding of finite Gauss transformation behavior
Abstract
We present an invariant density for the finite Gauss transformation of the unit interval and discuss some properties of this transformation.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematics and Applications · History and Theory of Mathematics