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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:How to quickly generate a nice hyperbolic element
- Emmanuel Breuillard (Universität Münster)
DTSTART;TZID=Europe/London:20170512T133000
DTEND;TZID=Europe/London:20170512T143000
UID:TALK72513AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72513
DESCRIPTION:In the 60'\;s Rota and Strang defined the notio
n of joint spectral radius of a finite set of matr
ices. This adequately generalizes the spectral rad
ius of a single matrix to several matrices\, and t
he relation between the limit norm of powers and t
he maximal eigenvalue (spectral radius formula) ca
n be extended to this setting. In this talk I will
present a general geometric formulation in which
one considers a finite set of isometries S and the
joint minimal displacement L(S)\, which is closel
y related to the joint spectral radius of Rota and
Strang. The main result is a spectral radius form
ula for \;isometric actions on spaces with non
-positive curvature (in particular symmetric space
s of non-compact type and \\delta-hyperbolic space
s) \;which extends the \;previously known
results about matrices. Applications to uniform ex
ponential growth will be given. Joint work with Ko
ji Fujiwara.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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