@article{f2cde51c7d84464f919990ba174c6056,
title = "Metric-measure boundary and geodesic flow on Alexandrov spaces",
abstract = "We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the average growth of volumes of balls. We deduce that the geodesic flow exists and preserves the Liouville measure in several important cases. The analytic tools we develop have close ties to integral geometry.",
author = "Vitali Kapovitch and Alexander Lytchak and Anton Petrunin",
note = "Funding Information: The first author was supported in part by a Discovery grant from NSERC and by a Simons Fellowship from the Simons foundation (award 390117). The second author was supported in part by the DFG grants SFB TRR 191 and SPP 2026. The third author was partially supported by NSF grant DMS 1309340. Publisher Copyright: {\textcopyright} European Mathematical Society 2021 Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
doi = "10.4171/JEMS/1006",
language = "English (US)",
volume = "23",
pages = "29--62",
journal = "Journal of the European Mathematical Society",
issn = "1435-9855",
publisher = "European Mathematical Society Publishing House",
number = "1",
}