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arXiv · 1604.03173

Pressure type metrics on spaces of metric graphs

Lien-Yung Kao
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Abstract

In this note, we consider two Riemannian metrics on a moduli space of metric graphs. Each of them could be thought of as an analogue of the Weil-Petersson metric on the moduli space of metric graphs. We discuss and compare geometric features of these two metrics with the "classic" Weil-Petersson metric in Teichm\"uller theory. This paper is motivated by Pollicott and Sharp's earlier work.

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Lien-Yung Kao. 2016-04-11. Pressure type metrics on spaces of metric graphs. https://doi.org/10.1007/s10711-016-0194-9

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