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Author :
Release : 2011
Genre :
Kind : eBook
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Book Synopsis Asymptotic Properties of the Parabolic Anderson Model by :
Download or read book Asymptotic Properties of the Parabolic Anderson Model written by . This book was released on 2011. 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 : Alexander Joseph Dunlap
Release : 2020
Genre :
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Book Synopsis Asymptotic Properties of Some Random Evolutions and Geometries by : Alexander Joseph Dunlap
Download or read book Asymptotic Properties of Some Random Evolutions and Geometries written by Alexander Joseph Dunlap. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: This thesis comprises two parts. The first part concerns asymptotic properties of the stochastic heat, Kardar--Parisi--Zhang, and Burgers equations, as well as the fractional parabolic Anderson model. We show several results about long-time behavior and scaling limits of these equations. The second part concerns the Liouville quantum gravity metric. We show the existence of subsequential scaling limits of two natural regularizations of this metric, in the first case at very high temperature and in the second case for all subcritical temperatures.
Author : J. Gärtner
Release : 2005
Genre :
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Book Synopsis Annealed Asymptotics for the Parabolic Anderson Model with a Moving Catalyst by : J. Gärtner
Download or read book Annealed Asymptotics for the Parabolic Anderson Model with a Moving Catalyst written by J. Gärtner. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adrian Schnitzler
Release : 2010
Genre :
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Book Synopsis Precise Asymptotics for the Parabolic Anderson Model with a Moving Catalyst Or Trap by : Adrian Schnitzler
Download or read book Precise Asymptotics for the Parabolic Anderson Model with a Moving Catalyst Or Trap written by Adrian Schnitzler. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt:
