Regularity And Irregularity Of Superprocesses With 1 Stable Branching Mechanism
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Regularity And Irregularity Of Superprocesses With 1 Stable Branching Mechanism
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Author : Leonid Mytnik
language : en
Publisher: Springer
Release Date : 2017-01-03
Regularity And Irregularity Of Superprocesses With 1 Stable Branching Mechanism written by Leonid Mytnik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-03 with Mathematics categories.
This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area. It is a self-contained presentation of regularity properties of stable superprocesses and proofs of main results and can serve as an introductory text for a graduate course. There are many heuristic explanations of technically involved results and proofs and the reader can get a clear intuitive picture behind the results and techniques.
Probability In Complex Physical Systems
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Author : Jean-Dominique Deuschel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23
Probability In Complex Physical Systems written by Jean-Dominique Deuschel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Mathematics categories.
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.
Annales De L I H P
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Author :
language : en
Publisher:
Release Date : 2004
Annales De L I H P written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematical statistics categories.
Lectures On Random Interfaces
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Author : Tadahisa Funaki
language : en
Publisher: Springer
Release Date : 2016-12-27
Lectures On Random Interfaces written by Tadahisa Funaki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-27 with Mathematics categories.
Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs. This book discusses randomly fluctuating interfaces in several different settings and from several points of view: discrete/continuum, microscopic/macroscopic, and static/dynamic theories. The following four topics in particular are dealt with in the book.Assuming that the interface is represented as a height function measured from a fixed-reference discretized hyperplane, the system is governed by the Hamiltonian of gradient of the height functions. This is a kind of effective interface model called ∇φ-interface model. The scaling limits are studied for Gaussian (or non-Gaussian) random fields with a pinning effect under a situation in which the rate functional of the corresponding large deviation principle has non-unique minimizers.Young diagrams determine decreasing interfaces, and their dynamics are introduced. The large-scale behavior of such dynamics is studied from the points of view of the hydrodynamic limit and non-equilibrium fluctuation theory. Vershik curves are derived in that limit.A sharp interface limit for the Allen–Cahn equation, that is, a reaction–diffusion equation with bistable reaction term, leads to a mean curvature flow for the interfaces. Its stochastic perturbation, sometimes called a time-dependent Ginzburg–Landau model, stochastic quantization, or dynamic P(φ)-model, is considered. Brief introductions to Brownian motions, martingales, and stochastic integrals are given in an infinite dimensional setting. The regularity property of solutions of stochastic PDEs (SPDEs) of a parabolic type with additive noises is also discussed.The Kardar–Parisi–Zhang (KPZ) equation , which describes a growing interface with fluctuation, recently has attracted much attention. This is an ill-posed SPDE and requires a renormalization. Especially its invariant measures are studied.
Measure Valued Branching Markov Processes
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Author : Zenghu Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-10
Measure Valued Branching Markov Processes written by Zenghu Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-10 with Mathematics categories.
Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This treatment simplifies the constructions and gives useful perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The most important feature of the book is the systematic treatment of immigration superprocesses and generalized Ornstein--Uhlenbeck processes based on skew convolution semigroups. The volume addresses researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
An Introduction To Superprocesses
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Author : Alison Etheridge
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
An Introduction To Superprocesses written by Alison Etheridge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Over the past 20 years, the study of superprocesses has expanded into a major industry and can now be regarded as a central theme in modern probability theory. This book is intended as a rapid introduction to the subject, geared toward graduate students and researchers in stochastic analysis. A variety of different approaches to the superprocesses emerged over the last ten years. Yet no one approach superseded any others. In this book, readers are exposed to a number of different ways of thinking about the processes, and each is used to motivate some key results. The emphasis is on why results are true rather than on rigorous proof. Specific results are given, including extensive references to current literature for their general form.
Historical Processes
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Author : Donald A. Dawson
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Historical Processes written by Donald A. Dawson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
The historical process is constructed to be a superprocess associated with a general motion process and branching mechanism, which is enriched so as to contain information on genealogy. In other words, it is a Markov process taking values in the space of measures on the set of possible histories. Using the canonical representation for the infinitely divisible random measures which describe the process at fixed times, the authors obtain analytical and probabilistic representations for the associated Palm measures. They employ these representations to obtain results on the modulus of continuity and equilibirium structure for a class of superprocesses in Rd and to establish that super-Brownian motion in dimensions d 53 has constant density with respect to the appropriate Hausdorff measure.
Combinatorial Stochastic Processes
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Author : Jim Pitman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-11
Combinatorial Stochastic Processes written by Jim Pitman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-11 with Mathematics categories.
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
Introduction To Parallel Computing
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Author : Ananth Grama
language : en
Publisher: Pearson Education
Release Date : 2003
Introduction To Parallel Computing written by Ananth Grama and has been published by Pearson Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computers categories.
A complete source of information on almost all aspects of parallel computing from introduction, to architectures, to programming paradigms, to algorithms, to programming standards. It covers traditional Computer Science algorithms, scientific computing algorithms and data intensive algorithms.
Ethnicity Without Groups
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Author : Rogers Brubaker
language : en
Publisher: Harvard University Press
Release Date : 2006-09-01
Ethnicity Without Groups written by Rogers Brubaker and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-01 with Social Science categories.
"Despite a quarter-century of constructivist theorizing in the social sciences and humanities, ethnic groups continue to be conceived as entities and cast as actors. Journalists, policymakers, and researchers routinely frame accounts of ethnic, racial, and national conflict as the struggles of internally homogeneous, externally bounded ethnic groups, races, and nations. In doing so, they unwittingly adopt the language of participants in such struggles, and contribute to the reification of ethnic groups. In this timely and provocative volume, Rogers BrubakerÑwell known for his work on immigration, citizenship, and nationalismÑchallenges this pervasive and commonsense Ògroupism.Ó But he does not simply revert to standard constructivist tropes about the fluidity and multiplicity of identity. Once a bracing challenge to conventional wisdom, constructivism has grown complacent, even cliched. That ethnicity is constructed is commonplace; this volume provides new insights into how it is constructed. By shifting the analytical focus from identity to identifications, from groups as entities to group-making projects, from shared culture to categorization, from substance to process, Brubaker shows that ethnicity, race, and nation are not things in the world but perspectives on the world: ways of seeing, interpreting, and representing the social world."