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Author : Carl Mueller,D. Dawson,Y. Li
Publisher : Unknown
Page : 44 pages
File Size : 44,6 Mb
Release : 1993
Category : Electronic
ISBN : CORNELL:31924067536510
Author : Götz Kersting,Vladimir Vatutin
Publisher : John Wiley & Sons
Page : 306 pages
File Size : 47,8 Mb
Release : 2017-11-01
Category : Mathematics
ISBN : 9781119473770
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.
Author : René Carmona
Publisher : American Mathematical Soc.
Page : 349 pages
File Size : 48,7 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821821008
The field of Stochastic Partial Differential Equations (SPDEs) is one of the most dynamically developing areas of mathematics. It lies at the cross section of probability, partial differential equations, population biology, and mathematical physics. The field is especially attractive because of its interdisciplinary nature and the enormous richness of current and potential future applications. This volume is a collection of six important topics in SPDEs presented from the viewpoint of distinguished scientists working in the field and related areas. Emphasized are the genesis and applications of SPDEs as well as mathematical theory and numerical methods. .
Author : Donald Andrew Dawson,Luis G. Gorostiza,B. Gail Ivanoff
Publisher : American Mathematical Soc.
Page : 492 pages
File Size : 52,9 Mb
Release : 2000
Category : Mathematics
ISBN : 0821810634
This book presents the refereed proceedings of the International Conference on Stochastic Models held in Ottawa (ON, Canada) in honor of Professor Donald A. Dawson. Contributions to the volume were written by students and colleagues of Professor Dawson, many of whom are eminent researchers in their own right. A main theme of the book is the development and study of the Dawson-Watanabe "superprocess", a fundamental building block in modelling interaction particle systems undergoing reproduction and movement. The volume also contains an excellent review article by Professor Dawson and a complete list of his work. This comprehensive work offers a wide assortment of articles on Markov processes, branching processes, mathematical finance, filtering, queueing networks, time series, and statistics. It should be of interest to a broad mathematical audience.
Author : Zenghu Li
Publisher : Springer Nature
Page : 481 pages
File Size : 53,9 Mb
Release : 2023-04-14
Category : Mathematics
ISBN : 9783662669105
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein–Uhlenbeck type processes. Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic construction of a special class of such processes, the Dawson–Watanabe superprocesses, which includes the finite-dimensional continuous-state branching process as an example. Under natural assumptions, it is shown that the superprocesses have Borel right realizations. Transformations are then used to derive the existence and regularity of several different forms of the superprocesses. This technique simplifies the constructions and gives useful new perspectives. Martingale problems of superprocesses are discussed under Feller type assumptions. The second part investigates immigration structures associated with the measure-valued branching processes. The structures are formulated by skew convolution semigroups, which are characterized in terms of infinitely divisible probability entrance laws. A theory of stochastic equations for one-dimensional continuous-state branching processes with or without immigration is developed, which plays a key role in the construction of measure flows of those processes. The third part of the book studies a class of Ornstein-Uhlenbeck type processes in Hilbert spaces defined by generalized Mehler semigroups, which arise naturally in fluctuation limit theorems of the immigration superprocesses. This volume is aimed at researchers in measure-valued processes, branching processes, stochastic analysis, biological and genetic models, and graduate students in probability theory and stochastic processes.
Author : Anonim
Publisher : Unknown
Page : 964 pages
File Size : 52,6 Mb
Release : 2002
Category : Mathematics
ISBN : UVA:X006180629
Author : Kersting Gotz,Vladimir Vatutin
Publisher : Iste Press - Elsevier
Page : 250 pages
File Size : 43,5 Mb
Release : 2017-10-01
Category : Electronic
ISBN : 1785482424
There are several books devoted to the theory of branching processes. However, the theory of branching processes in random environment is rather pour reflected in these books. During the last two decades an essential progress was achieved on this field in particular, owing to the efforts of the authors of the proposal. We develop in this book a unique and new approach to study branching processes in random environment To compare properties of branching processes in random environment with properties of ordinary random walks This approach, combined with the properties of random walks conditioned to stay nonnegative or negative allows to find the probability of survival of the critical and subcritical branching processes in random environment as well as Yaglom-type limit theorems for the mentioned classes of processes
Author : C.C. Heyde
Publisher : Springer
Page : 200 pages
File Size : 47,5 Mb
Release : 1995-04-27
Category : Gardening
ISBN : UOM:39015053940972
This volume presents the edited proceedings of the First World Congress on Branching Processes. The contributions present new research and surveys of the current research activity in this field. As a result, all those undertaking research in the subject will find this a timely and high-quality volume to have on their shelves.
Author : Zenghu Li
Publisher : Unknown
Page : 364 pages
File Size : 40,8 Mb
Release : 2011-03-30
Category : Electronic
ISBN : 3642150055
Author : Asmussen,Hering
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 45,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781461581550
Branching processes form one of the classical fields of applied probability and are still an active area of research. The field has by now grown so large and diverse that a complete and unified treat ment is hardly possible anymore, let alone in one volume. So, our aim here has been to single out some of the more recent developments and to present them with sufficient background material to obtain a largely self-contained treatment intended to supplement previous mo nographs rather than to overlap them. The body of the text is divided into four parts, each of its own flavor. Part A is a short introduction, stressing examples and applications. In Part B we give a self-contained and up-to-date pre sentation of the classical limit theory of simple branching processes, viz. the Gal ton-Watson ( Bienayme-G-W) process and i ts continuous time analogue. Part C deals with the limit theory of Il!arkov branching processes with a general set of types under conditions tailored to (multigroup) branching diffusions on bounded domains, a setting which also covers the ordinary multitype case. Whereas the point of view in Parts A and B is quite pedagogical, the aim of Part C is to treat a large subfield to the highest degree of generality and completeness possi"ble. Thus the exposition there is at times quite technical.
Author : B. Grigelionis,J. Kubilius,V. Paulauskas,H. Pragarauskas,R. Rudzkis,V. Statulevičius
Publisher : Walter de Gruyter GmbH & Co KG
Page : 752 pages
File Size : 55,7 Mb
Release : 2020-05-05
Category : Mathematics
ISBN : 9783112313480
No detailed description available for "Probability Theory and Mathematical Statistics".
Author : Krishna B. Athreya,Peter Jagers
Publisher : Springer
Page : 368 pages
File Size : 53,9 Mb
Release : 1997
Category : Mathematics
ISBN : UOM:39015038615566
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.
Author : Canadian Mathematical Society,Peter A. Fillmore
Publisher : Unknown
Page : 304 pages
File Size : 50,8 Mb
Release : 1995
Category : Mathematics
ISBN : UOM:39015041338859
Author : Miguel González,Inés M. Puerto,Rodrigo Martínez,Manuel Molina,Manuel Mota,Alfonso Ramos
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 48,8 Mb
Release : 2010-03-02
Category : Mathematics
ISBN : 9783642111563
One of the charms of mathematics is the contrast between its generality and its applicability to concrete, even everyday, problems. Branching processes are typical in this. Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; in other words, what Plato might have called the pure idea behind demography, population biology, cell kinetics, molecular replication, or nuclear ?ssion, had he known these scienti?c ?elds. Even in the performance of algorithms for sorting and classi?cation there is an inkling of the same pattern. In special cases, general properties of the abstract ideal then interact with the physical or biological or whatever properties at hand. But the population, or bran- ing, pattern is strong; it tends to dominate, and here lies the reason for the extreme usefulness of branching processes in diverse applications. Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.
Author : Philippe Clément
Publisher : Unknown
Page : 304 pages
File Size : 47,9 Mb
Release : 2000
Category : Science
ISBN : UOM:39015043263295