The Parabolic Anderson Model

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Publisher : Birkhäuser
ISBN 13 : 3319335960
Total Pages : 199 pages
Book Rating : 4.3/5 (193 download)

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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.

Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 3540726896
Total Pages : 151 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators by : Ivan Veselic

Download or read book Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators written by Ivan Veselic and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes in detail a quantity encoding spectral feature of random operators: the integrated density of states or spectral distribution function. It presents various approaches to the construction of the integrated density of states and the proof of its regularity properties. The book also includes references to and a discussion of other properties of the IDS as well as a variety of models beyond those treated in detail here.

Analysis on Graphs and Its Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844717
Total Pages : 721 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analysis on Graphs and Its Applications by : Pavel Exner

Download or read book Analysis on Graphs and Its Applications written by Pavel Exner and published by American Mathematical Soc.. This book was released on 2008 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.

Probability in Complex Physical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642238114
Total Pages : 518 pages
Book Rating : 4.6/5 (422 download)

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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.

Interacting Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540271104
Total Pages : 443 pages
Book Rating : 4.5/5 (42 download)

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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 2005-12-05 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Core papers emanating from the research network, DFG-Schwerpunkt: Interacting stochastic systems of high complexity.

The Dynamics of Complex Urban Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3790819379
Total Pages : 489 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis The Dynamics of Complex Urban Systems by : Sergio Albeverio

Download or read book The Dynamics of Complex Urban Systems written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the contributions presented at the international workshop "The Dynamics of Complex Urban Systems: an interdisciplinary approach" held in Ascona, Switzerland in November 2004. Experts from several disciplines outline a conceptual framework for modeling and forecasting the dynamics of both growth-limited cities and megacities. Coverage reflects the various interdependencies between structural and social development.

Surveys in Stochastic Processes

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Publisher : European Mathematical Society
ISBN 13 : 9783037190722
Total Pages : 270 pages
Book Rating : 4.1/5 (97 download)

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Book Synopsis Surveys in Stochastic Processes by : Jochen Blath

Download or read book Surveys in Stochastic Processes written by Jochen Blath and published by European Mathematical Society. This book was released on 2011 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 33rd Bernoulli Society Conference on Stochastic Processes and Their Applications was held in Berlin from July 27 to July 31, 2009. It brought together more than 600 researchers from 49 countries to discuss recent progress in the mathematical research related to stochastic processes, with applications ranging from biology to statistical mechanics, finance and climatology. This book collects survey articles highlighting new trends and focal points in the area written by plenary speakers of the conference, all of them outstanding international experts. A particular aim of this collection is to inspire young scientists to pursue research goals in the wide range of fields represented in this volume.

Methods of Spectral Analysis in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3764387556
Total Pages : 437 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Methods of Spectral Analysis in Mathematical Physics by : Jan Janas

Download or read book Methods of Spectral Analysis in Mathematical Physics written by Jan Janas and published by Springer Science & Business Media. This book was released on 2008-12-16 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized: Spectral analysis of Schrödinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrödinger operators; Quantum graphs.

Random Walk Intersections

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848208
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Random Walk Intersections by : Xia Chen

Download or read book Random Walk Intersections written by Xia Chen and published by American Mathematical Soc.. This book was released on 2010 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry.

Random Walks, Boundaries and Spectra

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Publisher : Springer Science & Business Media
ISBN 13 : 3034602448
Total Pages : 345 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Random Walks, Boundaries and Spectra by : Daniel Lenz

Download or read book Random Walks, Boundaries and Spectra written by Daniel Lenz and published by Springer Science & Business Media. This book was released on 2011-06-16 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'.

Random Polymers

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Publisher : Springer Science & Business Media
ISBN 13 : 364200332X
Total Pages : 271 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Random Polymers by : Frank Hollander

Download or read book Random Polymers written by Frank Hollander and published by Springer Science & Business Media. This book was released on 2009-05-14 with total page 271 pages. 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.

Asymptotic Theory in Probability and Statistics with Applications

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Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (91 download)

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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.

Probability and Mathematical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840894
Total Pages : 490 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Probability and Mathematical Physics by : Donald Andrew Dawson

Download or read book Probability and Mathematical Physics written by Donald Andrew Dawson and published by American Mathematical Soc.. This book was released on 2007 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of survey and research papers that gives a glance of the profound consequences of Molchanov's contributions in stochastic differential equations, spectral theory for deterministic and random operators, localization and intermittency, mathematical physics and optics, and other topics.

Annales de l'I.H.P.

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Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Annales de l'I.H.P. by :

Download or read book Annales de l'I.H.P. written by and published by . This book was released on 2004 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Schrödinger Operators

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Publisher : SMF
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Random Schrödinger Operators by : Margherita Disertori

Download or read book Random Schrödinger Operators written by Margherita Disertori and published by SMF. This book was released on 2008 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last thirty years, random Schrodinger operators, which originated in condensed matter physics, have been studied intensively and very productively. The theory is at the crossroads of a number of mathematical fields: the theory of operators, partial differential equations, the theory of probabilities, in particular the study of stochastic processes and that of random walks and Brownian motion in a random environment. This monograph aims to give the reader a panorama of the subject, from the now-classic foundations to very recent developments.

Interacting Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540230335
Total Pages : 470 pages
Book Rating : 4.2/5 (33 download)

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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.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt: