Ballisticity conditions for random walk in random environment

Simple item page
dc.contributor.authorDrewitz, A.
dc.contributor.authorRamirez, A. F.
dc.date.accessioned2025-01-21T00:01:53Z
dc.date.available2025-01-21T00:01:53Z
dc.date.issued2011
dc.description.abstractConsider a random walk in a uniformly elliptic i.i.d. random environment in dimensions d a parts per thousand yen 2. In 2002, Sznitman introduced for each gamma epsilon (0,1) the ballisticity conditions (T) (gamma) and (T'), the latter being defined as the fulfillment of (T) (gamma) for all gamma epsilon (0,1). He proved that (T') implies ballisticity and that for each gamma epsilon (0.5,1) , (T) (gamma) is equivalent to (T'). It is conjectured that this equivalence holds for al;l gamma epsilon (0,1), where gamma (d) is a dimension dependent constant taking values in the interval (0.366, 0.388), (T) (gamma) is equivalent to (T'). This is achieved by a detour along the effective criterion, the fulfillment of which we establish by a combination of techniques developed by Sznitman giving a control on the occurrence of atypical quenched exit distributions through boxes.
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00440-010-0268-9
dc.identifier.issn0178-8051
dc.identifier.urihttps://doi.org/10.1007/s00440-010-0268-9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95400
dc.identifier.wosidWOS:000290725200003
dc.issue.numero1-2
dc.language.isoen
dc.pagina.final75
dc.pagina.inicio61
dc.revistaProbability theory and related fields
dc.rightsacceso restringido
dc.subjectRandom walk in random environment
dc.subjectSlowdowns
dc.subjectBallisticity conditions
dc.subjectAsymptotic direction
dc.titleBallisticity conditions for random walk in random environment
dc.typeartículo
dc.volumen150
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
Files
Collections
Artículos de revistas