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The Parabolic Anderson Model - Random Walk in Random Potential (Hardcover, 1st ed. 2016)
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The Parabolic Anderson Model - Random Walk in Random Potential (Hardcover, 1st ed. 2016)
Series: Pathways in Mathematics
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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.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Pathways in Mathematics |
Release date: |
June 2016 |
First published: |
2016 |
Authors: |
Wolfgang Koenig
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Dimensions: |
235 x 155 x 13mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
192 |
Edition: |
1st ed. 2016 |
ISBN-13: |
978-3-319-33595-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
3-319-33595-2 |
Barcode: |
9783319335957 |
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