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Author :
Release : 2014
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Parabolic Anderson Model and Long-range Percolation by :
Download or read book The Parabolic Anderson Model and Long-range Percolation written by . This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang König
Release : 2016-06-30
Genre : Mathematics
Kind : eBook
Book Rating : 960/5 ( reviews)
Book Synopsis The Parabolic Anderson Model by : Wolfgang König
Download or read book The Parabolic Anderson Model written by Wolfgang König. This book was released on 2016-06-30. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : René Carmona
Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : 771/5 ( reviews)
Book Synopsis Parabolic Anderson Problem and Intermittency by : René Carmona
Download or read book Parabolic Anderson Problem and Intermittency written by René Carmona. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the analysis of the large time asymptotics of the solutions of the heat equation in a random time-dependent potential. The authors give complete results in the discrete case of the d-dimensional lattice when the potential is, at each site, a Brownian motion in time. The phenomenon of intermittency of the solutions is discussed.
Author :
Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Mathematical Reviews by :
Download or read book Mathematical Reviews written by . This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank Hollander
Release : 2009-05-14
Genre : Mathematics
Kind : eBook
Book Rating : 32X/5 ( reviews)
Book Synopsis Random Polymers by : Frank Hollander
Download or read book Random Polymers written by Frank Hollander. This book was released on 2009-05-14. Available in PDF, EPUB and Kindle. Book excerpt: Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.
