Proof of the Kurlberg-Rudnick rate conjecture
Annals of mathematics, Tome 174 (2011) no. 1, pp. 1-54.

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

In this paper we present a proof of the Hecke quantum unique ergodicity rate conjecture for the Hannay-Berry model of quantum mechanics on the two-dimensional torus. This conjecture was stated in Z. Rudnick’s lectures at MSRI, Berkeley 1999, and ECM, Barcelona 2000.
DOI : 10.4007/annals.2011.174.1.1

Shamgar Gurevich 1 ; Ronny Hadani 2

1 Department of Mathematics, University of Wisconsin, Madison, WI 53706
2 Department of Mathematics, The University of Texas at Austin, Austin, TX 78702
@article{10_4007_annals_2011_174_1_1,
     author = {Shamgar Gurevich and Ronny Hadani},
     title = {Proof of the {Kurlberg-Rudnick} rate conjecture},
     journal = {Annals of mathematics},
     pages = {1--54},
     publisher = {mathdoc},
     volume = {174},
     number = {1},
     year = {2011},
     doi = {10.4007/annals.2011.174.1.1},
     mrnumber = {2811593},
     zbl = {05960695},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.1/}
}
TY  - JOUR
AU  - Shamgar Gurevich
AU  - Ronny Hadani
TI  - Proof of the Kurlberg-Rudnick rate conjecture
JO  - Annals of mathematics
PY  - 2011
SP  - 1
EP  - 54
VL  - 174
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.1/
DO  - 10.4007/annals.2011.174.1.1
LA  - en
ID  - 10_4007_annals_2011_174_1_1
ER  - 
%0 Journal Article
%A Shamgar Gurevich
%A Ronny Hadani
%T Proof of the Kurlberg-Rudnick rate conjecture
%J Annals of mathematics
%D 2011
%P 1-54
%V 174
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.1/
%R 10.4007/annals.2011.174.1.1
%G en
%F 10_4007_annals_2011_174_1_1
Shamgar Gurevich; Ronny Hadani. Proof of the Kurlberg-Rudnick rate conjecture. Annals of mathematics, Tome 174 (2011) no. 1, pp. 1-54. doi : 10.4007/annals.2011.174.1.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.174.1.1/

Cité par Sources :