Moduli space of Brody curves, energy and mean dimension
Masaki Tsukamoto
TL;DR
This paper investigates the mean dimension of the moduli space of Brody curves, introducing the concept of mean energy to estimate this dimension.
Contribution
It introduces the notion of mean energy as a new tool to estimate the mean dimension of Brody curve moduli spaces.
Findings
Mean energy can be used to estimate mean dimension.
A new approach links energy concepts to geometric moduli.
Provides bounds or estimates for the mean dimension.
Abstract
We study the mean dimension of the moduli space of Brody curves. We introduce the notion of "mean energy" and show that this can be used to estimate the mean dimension.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric Analysis and Curvature Flows