Geodesic
Random walks in compact groups
Documenta mathematica, Tome 18 (2013), pp. 1137-1175
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let X1​,X2​,... be independent identically distributed random elements of a compact group G. We discuss the speed of convergence of the law of the product Xl​⋯X1​ to the Haar measure. We give poly-log estimates for certain finite groups and for compact semi-simple Lie groups. We improve earlier results of Solovay, Kitaev, Gamburd, Shahshahani and Dinai.
DOI : 10.4171/dm/423
Classification : 22E30, 60B15
Mots-clés : spectral gap, random walk, diameter, poly-log, Solovay-Kitaev, compact group, Cayley graph 
@article{10_4171_dm_423,
     author = {P.P. Varj\'u},
     title = {Random walks in compact groups},
     journal = {Documenta mathematica},
     pages = {1137--1175},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/423},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/423/}
}
TY  - JOUR
AU  - P.P. Varjú
TI  - Random walks in compact groups
JO  - Documenta mathematica
PY  - 2013
SP  - 1137
EP  - 1175
VL  - 18
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/423/
DO  - 10.4171/dm/423
ID  - 10_4171_dm_423
ER  - 
%0 Journal Article
%A P.P. Varjú
%T Random walks in compact groups
%J Documenta mathematica
%D 2013
%P 1137-1175
%V 18
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/423/
%R 10.4171/dm/423
%F 10_4171_dm_423
P.P. Varjú. Random walks in compact groups. Documenta mathematica, Tome 18 (2013), pp. 1137-1175. doi: 10.4171/dm/423

Cité par Sources :