On Branching Processes In Random Environments
Download On Branching Processes In Random Environments full books in PDF, epub, and Kindle. Read online free On Branching Processes In Random Environments ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Götz Kersting |
Publisher |
: John Wiley & Sons |
Total Pages |
: 306 |
Release |
: 2017-11-29 |
ISBN-10 |
: 9781786302526 |
ISBN-13 |
: 1786302527 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Discrete Time Branching Processes in Random Environment by : Götz Kersting
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 |
: Kersting Gotz |
Publisher |
: Iste Press - Elsevier |
Total Pages |
: 250 |
Release |
: 2017-10-01 |
ISBN-10 |
: 1785482424 |
ISBN-13 |
: 9781785482427 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Branching Processes in Random Environment by : Kersting Gotz
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 |
: Miguel González Velasco |
Publisher |
: John Wiley & Sons |
Total Pages |
: 215 |
Release |
: 2017-12-27 |
ISBN-10 |
: 9781119484561 |
ISBN-13 |
: 1119484561 |
Rating |
: 4/5 (61 Downloads) |
Synopsis Controlled Branching Processes by : Miguel González Velasco
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.
Author |
: Miguel González |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 304 |
Release |
: 2010-03-02 |
ISBN-10 |
: 9783642111563 |
ISBN-13 |
: 3642111564 |
Rating |
: 4/5 (63 Downloads) |
Synopsis Workshop on Branching Processes and Their Applications by : Miguel González
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 |
: Patsy Haccou |
Publisher |
: Cambridge University Press |
Total Pages |
: 342 |
Release |
: 2005-05-19 |
ISBN-10 |
: 0521832209 |
ISBN-13 |
: 9780521832205 |
Rating |
: 4/5 (09 Downloads) |
Synopsis Branching Processes by : Patsy Haccou
This book covers the mathematical idea of branching processes, and tailors it for a biological audience.
Author |
: Krishna B. Athreya |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 301 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642653711 |
ISBN-13 |
: 3642653715 |
Rating |
: 4/5 (11 Downloads) |
Synopsis Branching Processes by : Krishna B. Athreya
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.
Author |
: Inés M. del Puerto |
Publisher |
: Springer |
Total Pages |
: 331 |
Release |
: 2016-09-06 |
ISBN-10 |
: 9783319316413 |
ISBN-13 |
: 3319316419 |
Rating |
: 4/5 (13 Downloads) |
Synopsis Branching Processes and Their Applications by : Inés M. del Puerto
This volume gathers papers originally presented at the 3rd Workshop on Branching Processes and their Applications (WBPA15), which was held from 7 to 10 April 2015 in Badajoz, Spain (http://branching.unex.es/wbpa15/index.htm). The papers address a broad range of theoretical and practical aspects of branching process theory. Further, they amply demonstrate that the theoretical research in this area remains vital and topical, as well as the relevance of branching concepts in the development of theoretical approaches to solving new problems in applied fields such as Epidemiology, Biology, Genetics, and, of course, Population Dynamics. The topics covered can broadly be classified into the following areas: 1. Coalescent Branching Processes 2. Branching Random Walks 3. Population Growth Models in Varying and Random Environments 4. Size/Density/Resource-Dependent Branching Models 5. Age-Dependent Branching Models 6. Special Branching Models 7. Applications in Epidemiology 8. Applications in Biology and Genetics Offering a valuable reference guide to contemporary branching process theory, the book also explores many open problems, paving the way for future research.
Author |
: Zhan Shi |
Publisher |
: Springer |
Total Pages |
: 143 |
Release |
: 2016-02-04 |
ISBN-10 |
: 9783319253725 |
ISBN-13 |
: 3319253727 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Branching Random Walks by : Zhan Shi
Providing an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time. Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees.
Author |
: Rick Durrett |
Publisher |
: Cambridge University Press |
Total Pages |
: 203 |
Release |
: 2010-05-31 |
ISBN-10 |
: 9781139460880 |
ISBN-13 |
: 1139460889 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Random Graph Dynamics by : Rick Durrett
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 |
: Geoffrey Grimmett |
Publisher |
: Cambridge University Press |
Total Pages |
: 279 |
Release |
: 2018-01-25 |
ISBN-10 |
: 9781108542999 |
ISBN-13 |
: 1108542999 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Probability on Graphs by : Geoffrey Grimmett
This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.