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Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime
dc.creator | Campos Fernández, José David | |
dc.creator | Ramírez Chuaqui, Alejandro Francisco | |
dc.date.accessioned | 2020-02-24T19:51:04Z | |
dc.date.available | 2020-02-24T19:51:04Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | https://projecteuclid.org/euclid.aop/1513069270 | |
dc.identifier.issn | 0091-1798 | |
dc.identifier.issn | 2168-894X | |
dc.identifier.other | 1511.02945 | |
dc.identifier.uri | https://hdl.handle.net/10669/80632 | |
dc.description.abstract | We consider a random walk in random environment in the low disorder regime on Zd. That is, the probability that the random walk jumps from a site x to a nearest neighboring site x+e is given by p(e)+ǫξ(x,e), where p(e) is deterministic, {{ξ(x,e) : |e|1 = 1} : x ∈ Zd} are i.i.d. and ǫ > 0 is a parameter which is eventually chosen small enough. We establish an asymptotic expansion in ǫ for the invariant measure of the environmental process whenever a ballisticity condition is satisfied. As an application of our expansion, we derive a numerical expression up to first order in ǫ for the invariant measure of random perturbations of the simple symmetric random walk in dimensions d = 2 | es_ES |
dc.language.iso | en_US | es_ES |
dc.source | The Annals of Probability, vol.45(6B), pp.1-18 | es_ES |
dc.subject | Asymptotic expansion | es_ES |
dc.subject | Environmental process | es_ES |
dc.subject | Random | es_ES |
dc.title | Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime | es_ES |
dc.type | artículo original | |
dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | es_ES |
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