@article{01e7d3c498f04d2a997e755b25caedd7,
title = "Geometric density for invariant random subgroups of groups acting on CAT(0) spaces",
abstract = "We prove that an IRS of a group with a geometrically dense action on a CAT(0) space also acts geometrically densely; assuming the space is either of finite telescopic dimension or locally compact with finite dimensional Tits boundary. This can be thought of as a Borel density theorem for IRSs.",
keywords = "CAT(0) spaces, Geometric density, Invariant random subgroups",
author = "Bruno Duchesne and Yair Glasner and Nir Lazarovich and Jean L{\'e}cureux",
note = "Funding Information: Y.G. is greatfull to the hospitality of the math department at the University of Utah as well as support from Israel Science Foundation Grant ISF 441/11 and U.S. NSF Grants DMS 1107452, 1107263, 1107367 “RNMS: Geometric structures And Representation varieties” (the GEAR Network). B.D. is supported in part by Lorraine Region and Lorraine University. N.L. is supported by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities. Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media Dordrecht.",
year = "2015",
month = apr,
day = "1",
doi = "10.1007/s10711-014-0038-4",
language = "English",
volume = "175",
pages = "249--256",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",
}