# Ergodic Theory of Expanding Thurston Maps (Atlantis Studies in Dynamical Systems) free download

**Author:**Zhiqiang Li**ISBN:**9462391734**ISBN13:**9789462391734**Language:**English**Pages:**182

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 enables us to obtain general equidistribution results for such points with respect to the equilibrium states under the same assumption.

**Ergodic Theory of Expanding Thurston Maps (Atlantis Studies in Dynamical Systems) download links**http://depfile.com/JmmtiCslHPJ

E-book formats: **Ergodic Theory of Expanding Thurston Maps (Atlantis Studies in Dynamical Systems) PDF**, ePub, mobi, txt, Ergodic Theory of Expanding Thurston Maps (Atlantis Studies in Dynamical Systems) doc, pdb, djvu, fb2, ibooks, azw3, azw, kf8, rtf

Free download Ergodic Theory of Expanding Thurston Maps (Atlantis Studies in Dynamical Systems) for iPhone/iPod/iPad, Android, BlackBerry or PC/MAC. Only top download links from: Dropbox.com, Uploadednet, Depositfiles.com, Dfiles.com, Fileboom, FileFactory , FileJoker, Hugefiles, Keep2Share (K2s, Keep2s), Mega.nz, Neodrive.co, CloudZilla.to, Rapidgator, Rg.to, Solidfiles, Tezfiles, Uploadable.ch, Uploaded.net, Uploaded.to, ul.to, Uploadrocket.net, Upsto.re, Upstore.net, Zippyshare

### Related books

- Metric Spaces: Including Fixed Point Theory and Set-valued Maps
- Ergodic Theory: Independence and Dichotomies (Springer Monographs in Mathematics)
- Dynamical Systems II: Ergodic Theory with Applications to Dynamical Systems and Statistical Mechanics (Encyclopaedia of Mathematical Sciences)
- Dynamical Systems Generated by Linear Maps
- An Introduction to Ergodic Theory (Graduate Texts in Mathematics)