Jean-Morlet Chair : Hyperbolicity and dimension / Chaire Jean-Morlet : Hyperbolicité et dimension

Collection Jean-Morlet Chair : Hyperbolicity and dimension / Chaire Jean-Morlet : Hyperbolicité et dimension

Organizer(s) Hasselblatt, Boris ; Pesin, Yakov ; Schmeling, Joerg ; Troubetzkoy, Serge ; Vaienti, Sandro

Date(s) 02/12/2013 - 06/12/2013

linked URL https://www.chairejeanmorlet.com/1071.html

00:00:00 / 00:00:00

4 4

Spectrum of geodesic flow on negatively curved manifold

By Masato Tsujii

We consider the one-parameter families of transfer operators for geodesic flows on negatively curved manifolds. We show that the spectra of the generators have some "band structure" parallel to the imaginary axis. As a special case of "semi-classical" transfer operator, we see that the eigenvalues concentrate around the imaginary axis with some gap on the both sides.

Information about the video

Date of recording 05/12/2013
Date of publication 28/05/2014
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18577103
Cite this video Tsujii, Masato (05/12/2013). Spectrum of geodesic flow on negatively curved manifold. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18577103
URL https://dx.doi.org/10.24350/CIRM.V.18577103

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