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portada The Parabolic Anderson Model: Random Walk in Random Potential (Pathways in Mathematics)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
192
Format
Paperback
ISBN13
9783319815565
Categories

The Parabolic Anderson Model: Random Walk in Random Potential (Pathways in Mathematics)

Wolfgang König (Author) · Birkhäuser · Paperback

The Parabolic Anderson Model: Random Walk in Random Potential (Pathways in Mathematics) - Wolfgang König

New Book Imported to New Zealand *
Delivery: 22 Apr - 29 Apr Shipping: 5 to 6 business days.
NZ$ 124.33
* Import costs and 15% GST included in the price ✅
NZ$ 124.33
Delivery to any New Zealand address between Wednesday, April 22 and Wednesday, April 29
Origin: United Kingdom Import costs included in the price ✅
Delivery to any New Zealand address between Wednesday, April 22 and Wednesday, April 29.

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Synopsis "The Parabolic Anderson Model: Random Walk in Random Potential (Pathways in Mathematics) "

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.

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