Téléchargez le livre : The Parabolic Anderson Model

The Parabolic Anderson Model

Random Walk in Random Potential de

Éditeur :

Birkhäuser


Collection :

Pathways in Mathematics

Paru le : 2016-06-30

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Description

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-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.). We explain the background, the applications, the questions and the connections with other models and formulate the most relevant results on the long-time behavior of the solution, like quenched and annealed asymptotics for the total mass, intermittency, confinement and concentration properties and mass flow. Furthermore, we explain the most successful proof methods and give a list of open research problems. Proofs are not detailed, but concisely outlined and commented; the formulations of some theorems are slightly simplified for better comprehension.
Pages
192 pages
Collection
Pathways in Mathematics
Parution
2016-06-30
Marque
Birkhäuser
EAN papier
9783319335957
EAN EPUB
9783319335964
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
2181 Ko
Prix
116,04 €

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