A Compactification of the Space of Expanding Maps on the Circle

Content Provider	Semantic Scholar
Author	McMullen, Curtis T.
Copyright Year	2009
Abstract	Abstract.We show the space of expanding Blaschke products on S1 is compactified by a sphere of invariant measures, reminiscent of the sphere of geodesic currents for a hyperbolic surface. More generally, we develop a dynamical compactification for the Teichmüller space of all measure preserving topological covering maps of S1.
Starting Page	2101
Ending Page	2119
Page Count	19
File Format	PDF HTM / HTML
DOI	10.1007/s00039-009-0709-8
Volume Number	18
Alternate Webpage(s)	http://abel.math.harvard.edu/~ctm/home/text/talks/michigan/ziwet/html/home/www/papers/home/text/papers/exp/exp.pdf
Alternate Webpage(s)	http://www.math.harvard.edu/~ctm/papers/home/text/papers/exp/exp.pdf
Alternate Webpage(s)	https://dash.harvard.edu/bitstream/handle/1/3426329/McMullen_Compactification.pdf?sequence=5
Alternate Webpage(s)	https://dash.harvard.edu/bitstream/handle/1/3426329/McMullen_Compactification.pdf?isAllowed=y&sequence=5
Alternate Webpage(s)	https://doi.org/10.1007/s00039-009-0709-8
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article