The Support of Measure Valued Branching Processes in a Random Environment

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Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Support of Measure Valued Branching Processes in a Random Environment by : Carl Mueller

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:

Measure-Valued Branching Markov Processes

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Publisher : Springer Nature
ISBN 13 : 3662669102
Total Pages : 481 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Measure-Valued Branching Markov Processes by : Zenghu Li

Download or read book Measure-Valued Branching Markov Processes written by Zenghu Li and published by Springer Nature. This book was released on 2023-04-14 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Models

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821810637
Total Pages : 492 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Stochastic Models by : Donald Andrew Dawson

Download or read book Stochastic Models written by Donald Andrew Dawson and published by American Mathematical Soc.. This book was released on 2000 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Branching Processes

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Publisher : Springer
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Branching Processes by : C.C. Heyde

Download or read book Branching Processes written by C.C. Heyde and published by Springer. This book was released on 1995-04-27 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Partial Differential Equations: Six Perspectives

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Publisher : American Mathematical Soc.
ISBN 13 : 0821821008
Total Pages : 349 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stochastic Partial Differential Equations: Six Perspectives by : René Carmona

Download or read book Stochastic Partial Differential Equations: Six Perspectives written by René Carmona and published by American Mathematical Soc.. This book was released on 1999 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. .

Branching Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461581559
Total Pages : 468 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Branching Processes by : Asmussen

Download or read book Branching Processes written by Asmussen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spatial Branching In Random Environments And With Interaction

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Publisher : World Scientific
ISBN 13 : 9814569852
Total Pages : 286 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Spatial Branching In Random Environments And With Interaction by : Janos Englander

Download or read book Spatial Branching In Random Environments And With Interaction written by Janos Englander and published by World Scientific. This book was released on 2014-11-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume discusses some recent developments in the theory of spatial branching processes and superprocesses, with special emphasis on spines, Laws of Large Numbers, interactions and random media.Although this book is mainly written for mathematicians, the models discussed are relevant to certain models in population biology, and are thus hopefully interesting to the applied mathematician/biologist as well.The necessary background material in probability and analysis is provided in a comprehensive introductory chapter. Historical notes and several exercises are provided to complement each chapter.

Canadian Mathematical Society, 1945-1995: Invited papers

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Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Canadian Mathematical Society, 1945-1995: Invited papers by : Canadian Mathematical Society

Download or read book Canadian Mathematical Society, 1945-1995: Invited papers written by Canadian Mathematical Society and published by . This book was released on 1995 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Branching Processes in Random Environment

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Publisher : Iste Press - Elsevier
ISBN 13 : 9781785482427
Total Pages : 250 pages
Book Rating : 4.4/5 (824 download)

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Book Synopsis Branching Processes in Random Environment by : Kersting Gotz

Download or read book Branching Processes in Random Environment written by Kersting Gotz and published by Iste Press - Elsevier. This book was released on 2017-10-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 770 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 2001 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Theory and Mathematical Statistics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112313488
Total Pages : 752 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probability Theory and Mathematical Statistics by : B. Grigelionis

Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".

Infinite Dimensional Stochastic Analysis

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ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Infinite Dimensional Stochastic Analysis by : Philippe Clément

Download or read book Infinite Dimensional Stochastic Analysis written by Philippe Clément and published by . This book was released on 2000 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite Dimensional Stochastic Analysis

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Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.5/5 (438 download)

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Book Synopsis Infinite Dimensional Stochastic Analysis by :

Download or read book Infinite Dimensional Stochastic Analysis written by and published by . This book was released on 1951 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Processes and Related Fields

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Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Markov Processes and Related Fields by :

Download or read book Markov Processes and Related Fields written by and published by . This book was released on 2008 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Theory and Method Abstracts

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ISBN 13 :
Total Pages : 660 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Statistical Theory and Method Abstracts by :

Download or read book Statistical Theory and Method Abstracts written by and published by . This book was released on 1997 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319586475
Total Pages : 517 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Stochastic Partial Differential Equations by : Sergey V. Lototsky

Download or read book Stochastic Partial Differential Equations written by Sergey V. Lototsky and published by Springer. This book was released on 2017-07-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking readers with a basic knowledge of probability and real analysis to the frontiers of a very active research discipline, this textbook provides all the necessary background from functional analysis and the theory of PDEs. It covers the main types of equations (elliptic, hyperbolic and parabolic) and discusses different types of random forcing. The objective is to give the reader the necessary tools to understand the proofs of existing theorems about SPDEs (from other sources) and perhaps even to formulate and prove a few new ones. Most of the material could be covered in about 40 hours of lectures, as long as not too much time is spent on the general discussion of stochastic analysis in infinite dimensions. As the subject of SPDEs is currently making the transition from the research level to that of a graduate or even undergraduate course, the book attempts to present enough exercise material to fill potential exams and homework assignments. Exercises appear throughout and are usually directly connected to the material discussed at a particular place in the text. The questions usually ask to verify something, so that the reader already knows the answer and, if pressed for time, can move on. Accordingly, no solutions are provided, but there are often hints on how to proceed. The book will be of interest to everybody working in the area of stochastic analysis, from beginning graduate students to experts in the field.

Branching Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642653715
Total Pages : 301 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Branching Processes by : Krishna B. Athreya

Download or read book Branching Processes written by Krishna B. Athreya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a unified treatment of the limit theory of branching processes. Since the publication of the important book of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and thus has very little overlap with that of Harris. Only enough material is repeated to make the treatment essentially self-contained. For example, certain foundational questions on the construction of processes, to which we have nothing new to add, are not developed. There is a natural classification of branching processes according to their criticality condition, their time parameter, the single or multi-type particle cases, the Markovian or non-Markovian character of the pro cess, etc. We have tried to avoid the rather uneconomical and un enlightening approach of treating these categories independently, and by a series of similar but increasingly complicated techniques. The basic Galton-Watson process is developed in great detail in Chapters I and II.