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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.06 seconds)

Spelling suggestions: "subject:"parabolisches andersonmodell"" "subject:"parabolisches undersökningsmodell""

1

Das parabolische Anderson-Modell mit Be- und Entschleunigung

Schmidt, Sylvia 24 January 2011 (has links) (PDF)
We describe the large-time moment asymptotics for the parabolic Anderson model where the speed of the diffusion is coupled with time, inducing an acceleration or deceleration. We find a lower critical scale, below which the mass flow gets stuck. On this scale, a new interesting variational problem arises in the description of the asymptotics. Furthermore, we find an upper critical scale above which the potential enters the asymptotics only via some average, but not via its extreme values. We make out altogether five phases, three of which can be described by results that are qualitatively similar to those from the constant-speed parabolic Anderson model in earlier work by various authors. Our proofs consist of adaptations and refinements of their methods, as well as a variational convergence method borrowed from finite elements theory.
Parabolisches Anderson-Modell
Momentenasymptotik
Variationsformeln
be- und entschleunigte Diffusion
Große Abweichungen
Irrfahrten in zufälliger Landschaft
parabolic Anderson model
moment asymptotics
variational formulas
accelerated and decelerated diffusion
large deviations
random walk in random scenery
ddc:519
2

Das parabolische Anderson-Modell mit Be- und Entschleunigung

Schmidt, Sylvia 15 December 2010 (has links)
We describe the large-time moment asymptotics for the parabolic Anderson model where the speed of the diffusion is coupled with time, inducing an acceleration or deceleration. We find a lower critical scale, below which the mass flow gets stuck. On this scale, a new interesting variational problem arises in the description of the asymptotics. Furthermore, we find an upper critical scale above which the potential enters the asymptotics only via some average, but not via its extreme values. We make out altogether five phases, three of which can be described by results that are qualitatively similar to those from the constant-speed parabolic Anderson model in earlier work by various authors. Our proofs consist of adaptations and refinements of their methods, as well as a variational convergence method borrowed from finite elements theory.
info:eu-repo/classification/ddc/519
ddc:519

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