Geodesic
Branched polymers and dimensional reduction
David C. Brydges1 ; John Z. Imbrie2
1 Department of Mathematics, The University of British Columbia, Vancouver, B.C., Canada V6T 1Z2
2 Department of Mathematics, University of Virginia, Charlottesville, VA 22904-4137, United States
Annals of mathematics, Tome 158 (2003) no. 3, pp. 1019-1039.

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

We establish an exact relation between self-avoiding branched polymers in $D+2$ continuum dimensions and the hard-core continuum gas at negative activity in $D$ dimensions. We review conjectures and results on critical exponents for $D+2 = 2,3,4$ and show that they are corollaries of our result. We explain the connection (first proposed by Parisi and Sourlas) between branched polymers in $D+2$ dimensions and the Yang-Lee edge singularity in $D$ dimensions.
DOI : 10.4007/annals.2003.158.1019

David C. Brydges 1 ; John Z. Imbrie 2

1 Department of Mathematics, The University of British Columbia, Vancouver, B.C., Canada V6T 1Z2
2 Department of Mathematics, University of Virginia, Charlottesville, VA 22904-4137, United States 
@article{10_4007_annals_2003_158_1019,
     author = {David C. Brydges and John Z. Imbrie},
     title = {Branched polymers and dimensional reduction},
     journal = {Annals of mathematics},
     pages = {1019--1039},
     publisher = {mathdoc},
     volume = {158},
     number = {3},
     year = {2003},
     doi = {10.4007/annals.2003.158.1019},
     mrnumber = {2031859},
     zbl = {1140.82314},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.1019/}
}
TY  - JOUR
AU  - David C. Brydges
AU  - John Z. Imbrie
TI  - Branched polymers and dimensional reduction
JO  - Annals of mathematics
PY  - 2003
SP  - 1019
EP  - 1039
VL  - 158
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.1019/
DO  - 10.4007/annals.2003.158.1019
LA  - en
ID  - 10_4007_annals_2003_158_1019
ER  - 
%0 Journal Article
%A David C. Brydges
%A John Z. Imbrie
%T Branched polymers and dimensional reduction
%J Annals of mathematics
%D 2003
%P 1019-1039
%V 158
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.1019/
%R 10.4007/annals.2003.158.1019
%G en
%F 10_4007_annals_2003_158_1019
David C. Brydges; John Z. Imbrie. Branched polymers and dimensional reduction. Annals of mathematics, Tome 158 (2003) no. 3, pp. 1019-1039. doi : 10.4007/annals.2003.158.1019. http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.1019/

Cité par Sources :