Download or read book Measure Valued Branching Processes Associated with Random Walks on P adics written by Sergio Albeverio and published by . This book was released on 1998 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of P adic Distributions written by S. Albeverio and published by Cambridge University Press. This book was released on 2010-03-18 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.
Download or read book Gibbs Measures On Cayley Trees written by Utkir A Rozikov and published by World Scientific. This book was released on 2013-07-11 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present systematically all known mathematical results on Gibbs measures on Cayley trees (Bethe lattices).The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a canonical ensemble. More importantly, when the Hamiltonian can be written as a sum of parts, the Gibbs measure has the Markov property (a certain kind of statistical independence), thus leading to its widespread appearance in many problems outside of physics such as biology, Hopfield networks, Markov networks, and Markov logic networks. Moreover, the Gibbs measure is the unique measure that maximizes the entropy for a given expected energy.The method used for the description of Gibbs measures on Cayley trees is the method of Markov random field theory and recurrent equations of this theory, but the modern theory of Gibbs measures on trees uses new tools such as group theory, information flows on trees, node-weighted random walks, contour methods on trees, and nonlinear analysis. This book discusses all the mentioned methods, which were developed recently.
Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert and published by Springer Nature. This book was released on 2023-04-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.
Download or read book The Support of Measure Valued Branching Processes in a Random Environment written by Carl Mueller and published by . This book was released on 1993 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selected Topics of P adic Mathematical Physics and Analysis written by and published by . This book was released on 2004 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Controlled Branching Processes written by Miguel González Velasco and published by John Wiley & Sons. This book was released on 2018-03-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide a comprehensive discussion of the available results for discrete time branching processes with random control functions. The independence of individuals’ reproduction is a fundamental assumption in the classical branching processes. Alternatively, the controlled branching processes (CBPs) allow the number of reproductive individuals in one generation to decrease or increase depending on the size of the previous generation. Generating a wide range of behaviors, the CBPs have been successfully used as modeling tools in diverse areas of applications.
Download or read book Branching Processes written by Université de Montréal. Centre de recherches mathématiques and published by New York : M. Dekker. This book was released on 1978 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Markov Processes and Related Fields written by and published by . This book was released on 2000 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Theory and Method Abstracts written by and published by . This book was released on 2001 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical and Modern Branching Processes written by Krishna B. Athreya and published by Springer. This book was released on 1997 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications CLASSICAL AND MODERN BRANCHING PROCESSES is based on the proceedings with the same title and was an integral part of the 1993-94 IMA program on "Emerging Applications of Probability." We would like to thank Krishna B. Athreya and Peter J agers for their hard work in organizing this meeting and in editing the proceedings. We also take this opportunity to thank the National Science Foundation, the Army Research Office, and the National Security Agency, whose financial support made this workshop possible. A vner Friedman Robert Gulliver v PREFACE The IMA workshop on Classical and Modern Branching Processes was held during June 13-171994 as part of the IMA year on Emerging Appli cations of Probability. The organizers of the year long program identified branching processes as one of the active areas in which a workshop should be held. Krish na B. Athreya and Peter Jagers were asked to organize this. The topics covered by the workshop could broadly be divided into the following areas: 1. Tree structures and branching processes; 2. Branching random walks; 3. Measure valued branching processes; 4. Branching with dependence; 5. Large deviations in branching processes; 6. Classical branching processes.
Download or read book Discrete Time Branching Processes in Random Environment written by Götz Kersting and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental stochasticity is incorporated, meaning that the conditions of reproduction may vary in a random fashion from one generation to the next. This book offers an introduction to the basics of BPREs and then presents the cases of critical and subcritical processes in detail, the latter dividing into weakly, intermediate, and strongly subcritical regimes.
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measure valued Branching Processes written by Donald Andrew Dawson and published by Department of Mathematics and Statistics, Carleton University. This book was released on 1982 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Branching Processes Random Walks and Related Problems written by Vladimir Alekseevich Vatutin and published by . This book was released on 2013 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measure valued Branching Processes a Collection of Four Papers written by D. A. Dawson and published by . This book was released on 1982 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Trees L vy Processes and Spatial Branching Processes written by Thomas Duquesne and published by . This book was released on 2002 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
