Expanding Thurston Maps is popular PDF and ePub book, written by Mario Bonk in 2017-11-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Expanding Thurston Maps can be Read Online from any device for your convenience.
Expanding Thurston Maps Book PDF Summary
This monograph is devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteration. It is called expanding if, roughly speaking, preimages of a fine open cover of the underlying sphere under iterates of the map become finer and finer as the order of the iterate increases. Every expanding Thurston map gives rise to a fractal space, called its visual sphere. Many dynamical properties of the map are encoded in the geometry of this visual sphere. For example, an expanding Thurston map is topologically conjugate to a rational map if and only if its visual sphere is quasisymmetrically equivalent to the Riemann sphere. This relation between dynamics and fractal geometry is the main focus for the investigations in this work. The book is an introduction to the subject. The prerequisites for the reader are modest and include some basic knowledge of complex analysis and topology. The book has an extensive appendix, where background material is reviewed such as orbifolds and branched covering maps.
Detail Book of Expanding Thurston Maps PDF
- Author : Mario Bonk
- Release : 28 November 2017
- Publisher : American Mathematical Soc.
- ISBN : 9780821875544
- Genre : Mathematics
- Total Page : 497 pages
- Language : English
- PDF File Size : 13,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Expanding Thurston Maps by Mario Bonk, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.