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# Resonances of a Transfer operator

This web page gives numerical illustrations (movies) related to
the paper [Fau09].

Remark: all the movies are "gif animated" and you can download them and
see them with xanim (or
similar), which gives a better control for the view and the speed.

Credits: numerical computations are done in C++, using the library
GSL and ROOT from cern.

## Spectrum of resonances

For ,
and
,
let

- The operator has a discrete
spectrum in
a Sobolev spaces , with .
- The following movie shows the eigenvalues of
, called Ruelle-Pollicott resonances as runs from
.
(Some explanations are given the paper [Fau09]).

To see the movie again, clik on "reload" on your web-browser.

(corresponds to figure 2 page 7 in [Fau09])

*Frederic
Faure, UJF Grenoble*