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Course on anisotropic Banach spaces and dynamics 6

Föreläsning
Kontaktperson: Tomas Persson

Advanced &Ph. D course

 

Viviane BALADI

"A tour in the jungle of anisotropic Banach spaces for hyperbolic dynamics"

Ruelle transfer operators are a key tool to study the statistical properties of dynamical systems with enough hyperbolicity and smoothness. We consider (mostly discrete-time)
C^r (or piecewise C^r) dynamics, for r>1. We shall start with the simplest case of smooth expanding dynamics, 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 hyperbolic dynamics, for which we shall describe several of the available anisotropic spaces used to study the spectra of weighted transfer operators. Topics should include stability of the spectrum and statistical properties of Gibbs states - such as the SRB measure or the  measure of maximal entropy.
If time permits, we shall discuss the dynamical determinants (or zeta functions).

Tid: 
2018-09-21 13:15 till 15:00
Plats: 
MH: 227
Kontakt: 
tomasp [at] maths.lth.se

Om händelsen

Tid: 
2018-09-21 13:15 till 15:00
Plats: 
MH: 227
Kontakt: 
tomasp [at] maths.lth.se

Box 117, 221 00 LUND
Telefon 046-222 00 00 (växel)
Telefax 046-222 47 20
lu [at] lu [dot] se

Fakturaadress: Box 188, 221 00 LUND
Organisationsnummer: 202100-3211
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