@inbook{caff5c766d2c47a8b4c678a92d8e238f,
title = "Horocycle flows on surfaces with infinite genus: Geometric and ergodic aspects of group actions",
abstract = "We study the ergodic theory of horocycle flows on hyperbolic surfaces with infinite genus. In this case, the nontrivial ergodic invariant Radon measures are all infinite. We explain the relation between these measures and the positive eigenfunctions of the Laplacian on the surface. In the special case of Zd-covers of compact hyperbolic surfaces, we also describe some of their ergodic properties, paying special attention to equidistribution and to generalized laws of large numbers.",
author = "Omri Sarig",
note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd 2019.",
year = "2020",
month = jan,
day = "14",
doi = "10.1007/978-981-15-0683-3_2",
language = "الإنجليزيّة",
isbn = "978-981-15-0682-6",
series = "Infosys Science Foundation Series in Mathematical Sciences",
publisher = "Springer Verlag",
pages = "21--81",
editor = "Dani, {S. G.} and Anish Ghosh",
booktitle = "Geometric and Ergodic Aspects of Group Actions",
address = "ألمانيا",
}