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Probability and Real Trees

Probability and Real Trees
Author: Steven N. Evans
Publisher: Springer
Total Pages: 205
Release: 2007-09-26
Genre: Mathematics
ISBN: 3540747982

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Random trees and tree-valued stochastic processes are of particular importance in many fields. Using the framework of abstract "tree-like" metric spaces and ideas from metric geometry, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behavior of such objects when the number of vertices goes to infinity. This publication surveys the relevant mathematical background and present some selected applications of the theory.


Probability and Real Trees

Probability and Real Trees
Author: Steven N. Evans
Publisher: Springer
Total Pages: 201
Release: 2007-10-12
Genre: Mathematics
ISBN: 9783540747970

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Random trees and tree-valued stochastic processes are of particular importance in many fields. Using the framework of abstract "tree-like" metric spaces and ideas from metric geometry, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behavior of such objects when the number of vertices goes to infinity. This publication surveys the relevant mathematical background and present some selected applications of the theory.


Random Trees

Random Trees
Author: Michael Drmota
Publisher: Springer Science & Business Media
Total Pages: 466
Release: 2009-04-16
Genre: Mathematics
ISBN: 3211753575

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The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.


Probability and Real Trees

Probability and Real Trees
Author: Steven Neil Evans
Publisher:
Total Pages: 193
Release: 2008
Genre:
ISBN:

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Probability on Trees and Networks

Probability on Trees and Networks
Author: Russell Lyons
Publisher: Cambridge University Press
Total Pages: 1023
Release: 2017-01-20
Genre: Mathematics
ISBN: 1316785335

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Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.


XII Symposium of Probability and Stochastic Processes

XII Symposium of Probability and Stochastic Processes
Author: Daniel Hernández-Hernández
Publisher: Springer
Total Pages: 234
Release: 2018-06-26
Genre: Mathematics
ISBN: 3319776436

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This volume contains the proceedings of the XII Symposium of Probability and Stochastic Processes which took place at Universidad Autonoma de Yucatan in Merida, Mexico, on November 16–20, 2015. This meeting was the twelfth meeting in a series of ongoing biannual meetings aimed at showcasing the research of Mexican probabilists as well as promote new collaborations between the participants. The book features articles drawn from different research areas in probability and stochastic processes, such as: risk theory, limit theorems, stochastic partial differential equations, random trees, stochastic differential games, stochastic control, and coalescence. Two of the main manuscripts survey recent developments on stochastic control and scaling limits of Markov-branching trees, written by Kazutoshi Yamasaki and Bénédicte Haas, respectively. The research-oriented manuscripts provide new advances in active research fields in Mexico. The wide selection of topics makes the book accessible to advanced graduate students and researchers in probability and stochastic processes.


Probability and Mathematical Genetics

Probability and Mathematical Genetics
Author: N. H. Bingham
Publisher: Cambridge University Press
Total Pages: 547
Release: 2010-07-15
Genre: Mathematics
ISBN: 1139487922

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No leading university department of mathematics or statistics, or library, can afford to be without this unique text. Leading authorities give a unique insight into a wide range of currently topical problems, from the mathematics of road networks to the genomics of cancer.


Random Generation of Trees

Random Generation of Trees
Author: Laurent Alonso
Publisher: Springer Science & Business Media
Total Pages: 217
Release: 2013-03-09
Genre: Computers
ISBN: 1475763530

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Random Generation of Trees is about a field on the crossroads between computer science, combinatorics and probability theory. Computer scientists need random generators for performance analysis, simulation, image synthesis, etc. In this context random generation of trees is of particular interest. The algorithms presented here are efficient and easy to code. Some aspects of Horton--Strahler numbers, programs written in C and pictures are presented in the appendices. The complexity analysis is done rigorously both in the worst and average cases. Random Generation of Trees is intended for students in computer science and applied mathematics as well as researchers interested in random generation.


TreeModeler

TreeModeler
Author:
Publisher:
Total Pages:
Release: 1990
Genre: Probabilities
ISBN:

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