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Author :
Publisher :
ISBN 13 :
Total Pages : 201 pages
Book Rating : 4.:/5 (881 download)
Download or read book The Parabolic Anderson Model and Long-range Percolation written by and published by . This book was released on 2014 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang König
Publisher : Birkhäuser
ISBN 13 : 3319335960
Total Pages : 199 pages
Book Rating : 4.3/5 (193 download)
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.
Author : René Carmona
Publisher : American Mathematical Soc.
ISBN 13 : 0821825771
Total Pages : 138 pages
Book Rating : 4.8/5 (218 download)
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.
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ISBN 13 :
Total Pages : 1608 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank den Hollander
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (117 download)
Download or read book The Parabolic Anderson Model on a Galton-Watson Tree written by Frank den Hollander and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the long-time asymptotics of the total mass of the solution to the parabolic Anderson model ( PAM) on a supercritical Galton-Watson random tree with bounded degrees. We identify the second-order contribution to this asymptotics in terms of a variational formula that gives information about the local structure of the region where the solution is concentrated. The analysis behind this formula suggests that, under mild conditions on the model parameters, concentration takes place on a tree with minimal degree. Our approach can be applied to finite locally tree-like random graphs, in a coupled limit where both time and graph size tend to infinity. As an example, we consider the configuration model or, more precisely, the uniform simple random graph with a prescribed degree sequence.
Author : Frank Hollander
Publisher : Springer Science & Business Media
ISBN 13 : 364200332X
Total Pages : 271 pages
Book Rating : 4.6/5 (42 download)
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.
Author : Rick Durrett
Publisher : Cambridge University Press
ISBN 13 : 1139460889
Total Pages : 203 pages
Book Rating : 4.1/5 (394 download)
Download or read book Random Graph Dynamics written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-05-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.
Author :
Publisher :
ISBN 13 :
Total Pages : 948 pages
Book Rating : 4.3/5 (91 download)
Download or read book Current Index to Statistics, Applications, Methods and Theory written by and published by . This book was released on 1999 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.
Author : Robert C. Dalang
Publisher : Springer Science & Business Media
ISBN 13 : 3540859934
Total Pages : 230 pages
Book Rating : 4.5/5 (48 download)
Download or read book A Minicourse on Stochastic Partial Differential Equations written by Robert C. Dalang and published by Springer Science & Business Media. This book was released on 2009 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains lectures that offer an introduction to modern topics in stochastic partial differential equations and bring together experts whose research is centered on the interface between Gaussian analysis, stochastic analysis, and stochastic PDEs.
Author : Vadim Gorin
Publisher : Cambridge University Press
ISBN 13 : 1108843964
Total Pages : 261 pages
Book Rating : 4.1/5 (88 download)
Download or read book Lectures on Random Lozenge Tilings written by Vadim Gorin and published by Cambridge University Press. This book was released on 2021-09-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.
Author : Maria Eulália Vares
Publisher : Springer Nature
ISBN 13 : 3030607542
Total Pages : 819 pages
Book Rating : 4.0/5 (36 download)
Download or read book In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius written by Maria Eulália Vares and published by Springer Nature. This book was released on 2021-03-25 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.
Author :
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ISBN 13 :
Total Pages : 1256 pages
Book Rating : 4.3/5 (91 download)
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chemical Rubber Company
Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.3/5 (91 download)
Download or read book CRC Critical Reviews in Solid State Sciences written by Chemical Rubber Company and published by . This book was released on 1971 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eva Pavarini
Publisher : Forschungszentrum Jülich
ISBN 13 : 3893368841
Total Pages : 562 pages
Book Rating : 4.8/5 (933 download)
Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : César de Prada
Publisher : MDPI
ISBN 13 : 3039214551
Total Pages : 298 pages
Book Rating : 4.0/5 (392 download)
Download or read book Process Modelling and Simulation written by César de Prada and published by MDPI. This book was released on 2019-09-23 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since process models are nowadays ubiquitous in many applications, the challenges and alternatives related to their development, validation, and efficient use have become more apparent. In addition, the massive amounts of both offline and online data available today open the door for new applications and solutions. However, transforming data into useful models and information in the context of the process industry or of bio-systems requires specific approaches and considerations such as new modelling methodologies incorporating the complex, stochastic, hybrid and distributed nature of many processes in particular. The same can be said about the tools and software environments used to describe, code, and solve such models for their further exploitation. Going well beyond mere simulation tools, these advanced tools offer a software suite built around the models, facilitating tasks such as experiment design, parameter estimation, model initialization, validation, analysis, size reduction, discretization, optimization, distributed computation, co-simulation, etc. This Special Issue collects novel developments in these topics in order to address the challenges brought by the use of models in their different facets, and to reflect state of the art developments in methods, tools and industrial applications.
Author : Michael Aizenman
Publisher : American Mathematical Soc.
ISBN 13 : 1470419130
Total Pages : 343 pages
Book Rating : 4.4/5 (74 download)
Download or read book Random Operators written by Michael Aizenman and published by American Mathematical Soc.. This book was released on 2015-12-11 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical theory of disorder effects on quantum spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics of self-adjoint operators through Anderson localization--presented here via the fractional moment method, up to recent results on resonant delocalization. The subject's multifaceted presentation is organized into seventeen chapters, each focused on either a specific mathematical topic or on a demonstration of the theory's relevance to physics, e.g., its implications for the quantum Hall effect. The mathematical chapters include general relations of quantum spectra and dynamics, ergodicity and its implications, methods for establishing spectral and dynamical localization regimes, applications and properties of the Green function, its relation to the eigenfunction correlator, fractional moments of Herglotz-Pick functions, the phase diagram for tree graph operators, resonant delocalization, the spectral statistics conjecture, and related results. The text incorporates notes from courses that were presented at the authors' respective institutions and attended by graduate students and postdoctoral researchers.
Author : J.C. Phillips
Publisher : Springer Science & Business Media
ISBN 13 : 0306471132
Total Pages : 455 pages
Book Rating : 4.3/5 (64 download)
Download or read book Phase Transitions and Self-Organization in Electronic and Molecular Networks written by J.C. Phillips and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in nanoscale science show that the properties of many materials are dominated by internal structures. In molecular cases, such as window glass and proteins, these internal structures obviously have a network character. However, in many partly disordered electronic materials, almost all attempts at understanding are based on traditional continuum models. This workshop focuses first on the phase diagrams and phase transitions of materials known to be composed of molecular networks. These phase properties characteristically contain remarkable features, such as intermediate phases that lead to reversibility windows in glass transitions as functions of composition. These features arise as a result of self-organization of the internal structures of the intermediate phases. In the protein case, this self-organization is the basis for protein folding. The second focus is on partly disordered electronic materials whose phase properties exhibit the same remarkable features. In fact, the phenomenon of High Temperature Superconductivity, discovered by Bednorz and Mueller in 1986, and now the subject of 75,000 research papers, also arises from such an intermediate phase. More recently discovered electronic phenomena, such as giant magnetoresistance, also are made possible only by the existence of such special phases. This book gives an overview of the methods and results obtained so far by studying the characteristics and properties of nanoscale self-organized networks. It demonstrates the universality of the network approach over a range of disciplines, from protein folding to the newest electronic materials.
