Téléchargez le livre : Ergodic Theory of Expanding Thurston Maps

Ergodic Theory of Expanding Thurston Maps

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Atlantis Press


Paru le : 2017-04-06

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Description
Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps. In particular, we present equidistribution results for iterated preimages and periodic points with respect to the unique measure of maximal entropy by investigating the number and locations of fixed points. We then use the thermodynamical formalism to establish the existence, uniqueness, and various other properties of the equilibrium state for a Holder continuous potential on the sphere equipped with a visual metric. After studying some weak expansion properties of such maps, we obtain certain large deviation principles for iterated preimages and periodic points under an additional assumption on the critical orbits of the maps. This enablesus to obtain general equidistribution results for such points with respect to the equilibrium states under the same assumption.
Pages
182 pages
Collection
n.c
Parution
2017-04-06
Marque
Atlantis Press
EAN papier
9789462391734
EAN PDF
9789462391741
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
3379 Ko
Prix
81,22 €
EAN EPUB
9789462391741
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
18
Taille du fichier
4884 Ko
Prix
81,22 €

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