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Elemental methods in ergodic Ramsey theory (Record no. 14032)

000 -Label
leader 02179 2200253 4500
010 ## - ISBN
ISBN 9783540668091
011 ## - ISSN
ISSN 1617-9692
090 ## - Numéro biblio (koha)
Numéro biblioitem (koha) 14032
001 - Numéro de notice
Numéro d'identification notice 14032
101 ## - Langue
langue du document anglais
200 ## - Titre
titre propre Elemental methods in ergodic Ramsey theory
type de document Livre numérique
Auteur Randall McCutcheon
210 ## - Editeur
lieu de publication Berlin
nom de l'éditeur Springer
date de publication 1999
225 ## - collection
lien interne koha 180169
titre de la collection Lecture notes in mathematics
titre de partie (Online)
ISSN de la collection 1617-9692
numérotation du volume 1722
300 ## - Note
note This book gives an overview over the main results of chromatic and density Ramsey theory in ℤ. It is based on lecture notes for a graduate course and therefore additionally provides a large variety of exercises and problems that are helpful for a better understanding of the field. Even though many of the presented results were originally proven combinatorially, most of the proofs in this book are based on topological dynamics and ergodic theory. The problems considered mainly fall into the classes of van der Waerden type theorems, Hindman type theorems and Szemerédi type theorems. After an introduction to Ramsey theory and to topological dynamics in the first chapter, results from infinitary Ramsey theory and density Ramsey theory are presented in Chapters 2 and 3. In Chapters 4 and 5 ergodic theory is used to establish double recurrence results and multiple recurrence results. In particular, Roth theorems and Szeméredi theorems are proven in this context. (Zentralblatt)
686 ## - Classification MSC
code du système msc
lien interne koha 161347
Indice 05D10
Libellé Combinatorics -- Extremal combinatorics
Sous-catégorie Ramsey theory
686 ## - Classification MSC
code du système msc
lien interne koha 165058
Indice 54H20
Libellé General topology -- Connections with other structures, applications
Sous-catégorie Topological dynamics
686 ## - Classification MSC
code du système msc
lien interne koha 162897
Indice 28D05
Libellé Measure and integration -- Measure-theoretic ergodic theory
Sous-catégorie Measure-preserving transformations
686 ## - Classification MSC
code du système msc
lien interne koha 163817
Indice 37A05
Libellé Dynamical systems and ergodic theory -- Ergodic theory
Sous-catégorie Measure-preserving transformations
700 ## - Auteur
code de fonction Auteur
auteur McCutcheon
partie du nom autre que l'élément d'entrée Randall
dates 1965-
koha internal code 180347
856 ## - accès
URI http://link.springer.com/book/10.1007/BFb0093959
note Springerlink
856 ## - accès
URI http://zbmath.org/?q=an:0945.05063
note Zentralblatt
856 ## - accès
URI http://www.ams.org/mathscinet-getitem?mr=1738544
note MathSciNet

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