Geodesic
Universality for conformally invariant intersection exponents
Journal of the European Mathematical Society, Tome 2 (2000) no. 4, pp. 291-328.

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

Abstract. We construct a class of conformally invariant measures on sets (or paths) and we study the critical exponents called intersection exponents associated to these measures. We show that these exponents exist and that they correspond to intersection exponents between planar Brownian motions. More precisely, using the definitions and results of our paper [27], we show that any set defined under such a conformal invariant measure behaves exactly as a pack (containing maybe a non-integer number) of Brownian motions as far as all intersection exponents are concerned. We show how conjectures about exponents for two-dimensional self-avoiding walks and critical percolation clusters can be reinterpreted in terms of conjectures on Brownian exponents.
DOI : 10.1007/s100970000024
Classification : 60-XX, 00-XX
Keywords: 
@article{JEMS_2000_2_4_a0,
     author = {Gregory F. Lawler and Wendelin Werner},
     title = {Universality for conformally invariant intersection exponents},
     journal = {Journal of the European Mathematical Society},
     pages = {291--328},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {2000},
     doi = {10.1007/s100970000024},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970000024/}
}
TY  - JOUR
AU  - Gregory F. Lawler
AU  - Wendelin Werner
TI  - Universality for conformally invariant intersection exponents
JO  - Journal of the European Mathematical Society
PY  - 2000
SP  - 291
EP  - 328
VL  - 2
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s100970000024/
DO  - 10.1007/s100970000024
ID  - JEMS_2000_2_4_a0
ER  - 
%0 Journal Article
%A Gregory F. Lawler
%A Wendelin Werner
%T Universality for conformally invariant intersection exponents
%J Journal of the European Mathematical Society
%D 2000
%P 291-328
%V 2
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s100970000024/
%R 10.1007/s100970000024
%F JEMS_2000_2_4_a0
Gregory F. Lawler; Wendelin Werner. Universality for conformally invariant intersection exponents. Journal of the European Mathematical Society, Tome 2 (2000) no. 4, pp. 291-328. doi : 10.1007/s100970000024. http://geodesic.mathdoc.fr/articles/10.1007/s100970000024/

Cité par Sources :