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Asymptotic Properties Of The Parabolic Anderson Model
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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 and published by . This book was released on 2011 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Parabolic Anderson Model by : Wolfgang König
Download or read book The Parabolic Anderson Model written by Wolfgang König and published by Birkhäuser. This book was released on 2016-06-30 with total page 199 pages. 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.
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 and published by . This book was released on 2020 with total page pages. 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.
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 and published by . This book was released on 2005 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 and published by . This book was released on 2010 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Moment Asymptotics for the Continuous Parabolic Anderson Model by : Jürgen Gärtner
Download or read book Moment Asymptotics for the Continuous Parabolic Anderson Model written by Jürgen Gärtner and published by . This book was released on 1998 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parabolic Anderson Problem and Intermittency by : René Carmona
Download or read book Parabolic Anderson Problem and Intermittency written by René Carmona and published by American Mathematical Soc.. This book was released on 1994 with total page 138 pages. 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.
Book Synopsis Longtime Asymptotics of the Two-dimensional Parabolic Anderson Model with White-noise Potential by : Wolfgang König
Download or read book Longtime Asymptotics of the Two-dimensional Parabolic Anderson Model with White-noise Potential written by Wolfgang König and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday by : Fritz Gesztesy
Download or read book Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 2007 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.
Author :Jean-Dominique Deuschel Publisher :Springer Science & Business Media ISBN 13 :3642238114 Total Pages :518 pages Book Rating :4.6/5 (422 download)
Book Synopsis Probability in Complex Physical Systems by : Jean-Dominique Deuschel
Download or read book Probability in Complex Physical Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic approaches have played a prominent role in the study of complex physical systems for more than thirty years. This volume collects twenty articles on various topics in this field, including self-interacting random walks and polymer models in random and non-random environments, branching processes, Parisi formulas and metastability in spin glasses, and hydrodynamic limits for gradient Gibbs models. The majority of these articles contain original results at the forefront of contemporary research; some of them include review aspects and summarize the state-of-the-art on topical issues – one focal point is the parabolic Anderson model, which is considered with various novel aspects including moving catalysts, acceleration and deceleration and fron propagation, for both time-dependent and time-independent potentials. The authors are among the world’s leading experts. This Festschrift honours two eminent researchers, Erwin Bolthausen and Jürgen Gärtner, whose scientific work has profoundly influenced the field and all of the present contributions.
Book Synopsis An Effective Medium Approach to the Asymptotics of the Statistical Moments of the Parabolic Anderson Model and Lifshitz Tails by : Bernd Metzger
Download or read book An Effective Medium Approach to the Asymptotics of the Statistical Moments of the Parabolic Anderson Model and Lifshitz Tails written by Bernd Metzger and published by . This book was released on 2011 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory in Probability and Statistics with Applications by : T. L. Lai
Download or read book Asymptotic Theory in Probability and Statistics with Applications written by T. L. Lai and published by . This book was released on 2008 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of 18 papers, many of which are surveys, on asymptotic theory in probability and statistics, with applications to a variety of problems. This volume comprises three parts: limit theorems, statistics and applications, and mathematical finance and insurance. It is suitable for graduate students in probability and statistics.
Book Synopsis Asymptotic Properties, Stability and 'near' Stationarity of Parabolic Partial Differential Equations with Wide Bandwidth Inputs by : Harold Joseph Kushner
Download or read book Asymptotic Properties, Stability and 'near' Stationarity of Parabolic Partial Differential Equations with Wide Bandwidth Inputs written by Harold Joseph Kushner and published by . This book was released on 1984 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Behavior for Solutions to Parabolic Conservation Laws and Stability Analysis for Systems of Mathieu Equations by : Kerim Khayat
Download or read book Asymptotic Behavior for Solutions to Parabolic Conservation Laws and Stability Analysis for Systems of Mathieu Equations written by Kerim Khayat and published by . This book was released on 1994 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Jean-Dominique Deuschel Publisher :Springer Science & Business Media ISBN 13 :9783540230335 Total Pages :470 pages Book Rating :4.2/5 (33 download)
Book Synopsis Interacting Stochastic Systems by : Jean-Dominique Deuschel
Download or read book Interacting Stochastic Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2005-01-12 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Research Network on "Interacting stochastic systems of high complexity" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work. This yields a reference work on results and methods that will be useful to all who work between applied probability and the physical, economic, and life sciences.
Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages : pages Book Rating :4.:/5 (123 download)
Book Synopsis Parameter Estimation for Stochastic Parabolic Equations: Asymptotic Properties of a Two-dimensional Projection Based Estimate by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book Parameter Estimation for Stochastic Parabolic Equations: Asymptotic Properties of a Two-dimensional Projection Based Estimate written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotics of Elliptic and Parabolic PDEs by : David Holcman
Download or read book Asymptotics of Elliptic and Parabolic PDEs written by David Holcman and published by Springer. This book was released on 2018-05-25 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.