Geodesic
Beyond expansion II: low-lying fundamental geodesics
Journal of the European Mathematical Society, Tome 19 (2017) no. 5, pp. 1331-1359.

Voir la notice de l'article provenant de la source EMS Press

A closed geodesic on the modular surface is "low-lying" if it does not travel"high" into the cusp. It is "undamental" if it corresponds to an element in the class group of a real quadratic field. We prove the existence of infinitely many low-lying fundamental geodesics, answering a question of Einsiedler–Lindenstrauss–Michel–Venkatesh.
DOI : 10.4171/jems/694
Classification : 11-XX, 37-XX
Keywords: Affine sieve, closed geodesics, fundamental discriminants, equidistribution 
@article{JEMS_2017_19_5_a1,
     author = {Jean Bourgain and Alex Kontorovich},
     title = {Beyond expansion {II:} low-lying fundamental geodesics},
     journal = {Journal of the European Mathematical Society},
     pages = {1331--1359},
     publisher = {mathdoc},
     volume = {19},
     number = {5},
     year = {2017},
     doi = {10.4171/jems/694},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/694/}
}
TY  - JOUR
AU  - Jean Bourgain
AU  - Alex Kontorovich
TI  - Beyond expansion II: low-lying fundamental geodesics
JO  - Journal of the European Mathematical Society
PY  - 2017
SP  - 1331
EP  - 1359
VL  - 19
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/694/
DO  - 10.4171/jems/694
ID  - JEMS_2017_19_5_a1
ER  - 
%0 Journal Article
%A Jean Bourgain
%A Alex Kontorovich
%T Beyond expansion II: low-lying fundamental geodesics
%J Journal of the European Mathematical Society
%D 2017
%P 1331-1359
%V 19
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/694/
%R 10.4171/jems/694
%F JEMS_2017_19_5_a1
Jean Bourgain; Alex Kontorovich. Beyond expansion II: low-lying fundamental geodesics. Journal of the European Mathematical Society, Tome 19 (2017) no. 5, pp. 1331-1359. doi : 10.4171/jems/694. http://geodesic.mathdoc.fr/articles/10.4171/jems/694/

Cité par Sources :