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Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket

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cris.lastimport.scopus2024-02-12T20:17:46Z
dc.abstract.enWe establish the Lifschitz-type singularity around the bottom of the spectrum for the integrated density of states for a class of subordinate Brownian motions in presence of the nonnegative Poissonian random potentials, possibly of infinite range, on the Sierpiński gasket. We also study the long-time behaviour for the corresponding averaged Feynman-Kac functionals.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorKALETA, KAMIL
dc.contributor.authorPietruska-Pałuba, Katarzyna
dc.date.accessioned2024-01-25T05:10:33Z
dc.date.available2024-01-25T05:10:33Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number11
dc.description.volume128
dc.identifier.doi10.1016/J.SPA.2018.01.003
dc.identifier.issn0304-4149
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/111224
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/abs/pii/S0304414918300036?via%3Dihub
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofStochastic Processes and their Applications
dc.relation.pages3897-3939
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enSubordinate Brownian motion
dc.subject.enSierpiński gasket
dc.subject.enRandom Feynman-Kac semigroup
dc.subject.enSchrodinger operator
dc.subject.enRandom potential
dc.subject.enIntegrated density of states
dc.subject.enEigenvalues
dc.subject.enReflected process
dc.titleLifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket
dc.typeJournalArticle
dspace.entity.typePublication