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The Parabolic Anderson Model Random Walk in Random Potential /

This is a comprehensive survey on the research on the parabolic Anderson model - the heat equation with random potential or the random walk in random potential - of the years 1990 - 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-valu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: König, Wolfgang (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Pathways in Mathematics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Background, model and questions
  • 2 Tools and concepts
  • 3 Moment asymptotics for the total mass
  • 4 Some proof techniques
  • 5 Almost sure asymptotics for the total mass
  • 6 Strong intermittency
  • 7 Refined questions
  • 8 Time-dependent potentials.