Tremors and horo cycle dynamics on the moduli space of transition surfaces
成果类型：
Article
署名作者：
Chaika, Jon; Smillie, John; Weiss, Barak
署名单位：
Rice University; University of Warwick; Tel Aviv University
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X; 1939-8980
DOI：
10.4007/annals.2026.204.1.1
发表日期：
2026-07
页码：
1-118
关键词：
摘要：
We introduce a 'tremor' deformation on strata of translation surfaces. Using it, we give new examples of behaviors of horo cycle flow orbits Uq in strata of translation surfaces. In the genus 2 stratum H(1, 1) we find orbits Uq which are generic for a measure whose support is strictly contained in Uq and find orbits which are not generic for any measure. We also describe a horo cycle orbit-closure whose Hausdorff dimension is not an integer.
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