Volume growth for infinite graphs and translation surfaces
Paul Colognese, Mark Pollicott
TL;DR
This paper provides asymptotic estimates for volume growth in infinite graphs and applies these results to translation surfaces, enhancing understanding of their geometric properties.
Contribution
It introduces new asymptotic estimates for volume growth in infinite graphs and extends these results to translation surfaces.
Findings
Asymptotic volume growth estimates for infinite graphs
Application of these estimates to translation surfaces
Improved understanding of geometric properties of translation surfaces
Abstract
In this note we give asymptotic estimates for the volume growth associated to suitable infinite graphs. Our main application is to give an asymptotic estimate for volume growth associated to translation surfaces.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows · Geometry and complex manifolds