Coverart for item
The Resource Probability and real trees : École d'Été de Probabilités de Saint-Flour XXXV-2005, Steven N. Evans

Probability and real trees : École d'Été de Probabilités de Saint-Flour XXXV-2005, Steven N. Evans

Label
Probability and real trees : École d'Été de Probabilités de Saint-Flour XXXV-2005
Title
Probability and real trees
Title remainder
École d'Été de Probabilités de Saint-Flour XXXV-2005
Statement of responsibility
Steven N. Evans
Creator
Contributor
Subject
Genre
Language
eng
Summary
"Random trees and tree-valued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "tree-like" metric spaces (so-called real trees) and ideas from metric geometry such as the Gromov-Hausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number of vertices goes to infinity. These notes survey the relevant mathematical background and present some selected applications of the theory."--Jacket
Member of
Cataloging source
YDXCP
http://library.link/vocab/creatorName
Evans, Steven N.
Illustrations
illustrations
Index
index present
LC call number
QA
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
2005
http://library.link/vocab/relatedWorkOrContributorName
Ecole d'été de probabilités de Saint-Flour
Series statement
Lecture notes in mathematics
Series volume
1920
http://library.link/vocab/subjectName
  • Trees (Graph theory)
  • Markov processes
  • Stochastic processes
  • Metric spaces
  • Hausdorff measures
  • Dirichlet forms
  • Phylogeny
  • Evolutionary genetics
  • Phylogeny
Label
Probability and real trees : École d'Été de Probabilités de Saint-Flour XXXV-2005, Steven N. Evans
Instantiates
Publication
Note
Notes from a series of ten lectures given at the Saint-Flour Probability Summer School, July 6-23, 2005
Bibliography note
Includes bibliographical references (pages [177]-184) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Around the continuum random tree -- R-trees and O-hyperbolic spaces -- Hausdorff and Gromov-Hausdorff distance -- Root growth with re-grafting -- The wild chain and other bipartite chains -- Diffusions on a R-tree without leaves : snakes and spiders -- R-trees from coalescing particle systems -- Subtree prune and re-graft -- Summary of Dirichlet form theory -- Some fractal notions
Control code
175285185
Dimensions
24 cm
Extent
xi, 193 pages
Isbn
9783540747970
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)175285185
Label
Probability and real trees : École d'Été de Probabilités de Saint-Flour XXXV-2005, Steven N. Evans
Publication
Note
Notes from a series of ten lectures given at the Saint-Flour Probability Summer School, July 6-23, 2005
Bibliography note
Includes bibliographical references (pages [177]-184) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Around the continuum random tree -- R-trees and O-hyperbolic spaces -- Hausdorff and Gromov-Hausdorff distance -- Root growth with re-grafting -- The wild chain and other bipartite chains -- Diffusions on a R-tree without leaves : snakes and spiders -- R-trees from coalescing particle systems -- Subtree prune and re-graft -- Summary of Dirichlet form theory -- Some fractal notions
Control code
175285185
Dimensions
24 cm
Extent
xi, 193 pages
Isbn
9783540747970
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)175285185

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