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UID:5f8f00c083110
DTSTART:20180914T111500Z
SEQUENCE:0
TRANSP:OPAQUE
DTEND:20180914T130000Z
LOCATION:MH: 227
SUMMARY:Course on anisotropic Banach spaces and dynamics 3
CLASS:PUBLIC
DESCRIPTION:Kontakt: tomasp@maths.lth.se\n\nAdvanced &\;Ph. D courseVivi
ane BALADI\"A tour in the jungle of anisotropic Banach spaces for hyperbol
ic dynamics\"Ruelle transfer operators are a key tool to study the statist
ical properties of dynamical systems with enough hyperbolicity and smoothn
ess. We consider (mostly discrete-time)C^r (or piecewise C^r) dynamics\, f
or r>\;1. We shall start with the simplest case of smooth expanding dyna
mics\, where the relevant spectrum is obtained by letting the operator act
on a Banach or Hilbert space of smooth functions.We shall then move to hy
perbolic dynamics\, for which we shall describe several of the available a
nisotropic spaces used to study the spectra of weighted transfer operators
. Topics should include stability of the spectrum and statistical properti
es of Gibbs states - such as the SRB measure or the \; measure of maxi
mal entropy.If time permits\, we shall discuss the dynamical determinants
(or zeta functions).
DTSTAMP:20201020T152240Z
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