The Parabolic Anderson Model
Produktnummer:
18b62d86901b744d2986dda10a3b063d12
| Autor: | König, Wolfgang |
|---|---|
| Themengebiete: | Anderson localization Eigenvalue order statistics Feynman-Kac formula Heat equation with random coefficients Intermittency Large deviations Mass concentration Random Schrödinger operator Random walk in random potential |
| Veröffentlichungsdatum: | 22.06.2016 |
| EAN: | 9783319335957 |
| Sprache: | Englisch |
| Seitenzahl: | 192 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
| Untertitel: | Random Walk in Random Potential |
Produktinformationen "The Parabolic Anderson Model"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen