@article{6fc7ebe1efdb46a08c12d2c5f7a23992,
title = "Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum H(1,1)",
abstract = "We study dynamics of the horocycle flow on strata of translation surfaces, introduce new invariants for ergodic measures, and analyze the interaction of the horocycle flow and real Rel surgeries. We use this analysis to complete and extend results of Calta and Wortman classifying horocycle-invariant measures in the eigenform loci. In addition we classify the horocycle orbit-closures and prove that every orbit is equidistributed in its orbit-closure. We also prove equidistribution results describing limits of sequences of measures. Our results have applications to the problem of counting closed trajectories on translation surfaces of genus 2.",
keywords = "Flat surfaces, eigenform loci, horocycle flow, invariant measures, orbit closures, strata",
author = "Matt Bainbridge and John Smillie and Barak Weiss",
note = "Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",
year = "2022",
month = nov,
doi = "10.1090/MEMO/1384",
language = "אנגלית",
volume = "280",
pages = "1--111",
journal = "Memoirs of the American Mathematical Society",
issn = "0065-9266",
publisher = "American Mathematical Society",
number = "1384",
}