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 Enterprise Interoperability VII by Wolfgang König
Cover of the book Universal Access in Human-Computer Interaction. Users and Context Diversity by Wolfgang König
Cover of the book Strangeness and Charge Symmetry Violation in Nucleon Structure by Wolfgang König
Cover of the book Fruit Fly Research and Development in Africa - Towards a Sustainable Management Strategy to Improve Horticulture by Wolfgang König
Cover of the book Brexit by Wolfgang König
Cover of the book Perennial Biomass Crops for a Resource-Constrained World by Wolfgang König
Cover of the book Excitation Energies and Properties of Open-Shell Singlet Molecules by Wolfgang König
Cover of the book The Tangwang Language by Wolfgang König
Cover of the book Conceptual Design by Wolfgang König
Cover of the book Audio Source Separation by Wolfgang König
Cover of the book Women’s Narratives and the Postmemory of Displacement in Central and Eastern Europe by Wolfgang König
Cover of the book The Presidential System in Turkey by Wolfgang König
Cover of the book Neurocognitive Risk Assessment for the Early Detection of Violent Extremists by Wolfgang König
Cover of the book Contemporary Debates in Negative Theology and Philosophy by Wolfgang König
Cover of the book It's All About Coordination 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