Measuring sets in infinite groups

Simple item page
dc.creatorBorovik, Alexandre V.
dc.creatorMyasnikov, Alexei G.
dc.creatorShpilrain, Vladimir
dc.date2002-04-07
dc.date.accessioned2026-07-07T04:47:28Z
dc.date.available2026-07-07T04:47:28Z
dc.descriptionWe are now witnessing a rapid growth of a new part of group theory which has become known as "statistical group theory". A typical result in this area would say something like ``a random element (or a tuple of elements) of a group G has a property P with probability p". The validity of a statement like that does, of course, heavily depend on how one defines probability on groups, or, equivalently, how one measures sets in a group (in particular, in a free group). We hope that new approaches to defining probabilities on groups outlined in this paper create, among other things, an appropriate framework for the study of the "average case" complexity of algorithms on groups.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0204078
dc.identifierhttp://arxiv.org/abs/math/0204078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63731
dc.subjectGroup Theory
dc.subjectProbability
dc.subject20E05; 60B15
dc.titleMeasuring sets in infinite groups
dc.typetext

Files

Collections

arXiv