Pathways in Mathematics

The Parabolic Anderson Model

Random Walk in Random Potential

Authors: König, Wolfgang

  • This book omits all technicalities and comes quickly to the point
  • This volume organizes an enormous wealth of material in a quickly understandable way
  • It reports on the latest achievements in an active and timely research field on the edge between probability and analysis that has a lot of cross-connections
see more benefits

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-319-33596-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-33595-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

About the authors

Table of contents (8 chapters)

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-319-33596-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-33595-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
The Parabolic Anderson Model
Book Subtitle
Random Walk in Random Potential
Authors
Series Title
Pathways in Mathematics
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-33596-4
DOI
10.1007/978-3-319-33596-4
Hardcover ISBN
978-3-319-33595-7
Series ISSN
2367-3451
Edition Number
1
Number of Pages
XI, 192
Number of Illustrations and Tables
4 b/w illustrations
Topics