Geodesic
The Weil-Petersson geodesic flow is ergodic
Keith Burns1 ; Howard Masur2 ; Amie Wilkinson3
1 Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730
2 Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637
3 Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637
Annals of mathematics, Tome 175 (2012) no. 2, pp. 835-908.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic (and in fact Bernoulli) and has finite, positive metric entropy.
DOI : 10.4007/annals.2012.175.2.8

Keith Burns 1 ; Howard Masur 2 ; Amie Wilkinson 3

1 Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208-2730
2 Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637
3 Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637 
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Keith Burns; Howard Masur; Amie Wilkinson. The Weil-Petersson geodesic flow is ergodic. Annals of mathematics, Tome 175 (2012) no. 2, pp. 835-908. doi : 10.4007/annals.2012.175.2.8. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.2.8/

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