The Parabolic Anderson Model

Random Walk in Random Potential

Nonfiction, Science & Nature, Mathematics, Applied, Statistics
Cover of the book The Parabolic Anderson Model by Wolfgang König, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Wolfgang König ISBN: 9783319335964
Publisher: Springer International Publishing Publication: June 30, 2016
Imprint: Birkhäuser Language: English
Author: Wolfgang König
ISBN: 9783319335964
Publisher: Springer International Publishing
Publication: June 30, 2016
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Academic & Scientific Poster Presentation by Wolfgang König
Cover of the book Metabolomics: From Fundamentals to Clinical Applications by Wolfgang König
Cover of the book Organized Crime, Corruption and Crime Prevention by Wolfgang König
Cover of the book Approximation and Online Algorithms by Wolfgang König
Cover of the book Algae Biomass: Characteristics and Applications by Wolfgang König
Cover of the book The New US Security Agenda by Wolfgang König
Cover of the book Bioinformatics Research and Applications by Wolfgang König
Cover of the book The United Nations and Space Security by Wolfgang König
Cover of the book Update in Pediatrics by Wolfgang König
Cover of the book Land Use and Spatial Planning by Wolfgang König
Cover of the book Quality Assurance in Asia-Pacific Universities by Wolfgang König
Cover of the book A Discipline-Based Teaching and Learning Center by Wolfgang König
Cover of the book Formal Concept Analysis of Social Networks by Wolfgang König
Cover of the book Republican Orators from Eisenhower to Trump by Wolfgang König
Cover of the book Algebra by Wolfgang König
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy