TY - JOUR
T1 - Fractal dimensions and corrections to scaling for critical potts clusters
AU - Aharony, Amnon
AU - Asikainen, Joonas
N1 - Funding Information:
This paper is dedicated to Antonio Coniglio, on the occasion of his 60th birthday. Coniglio contributed a lot to our understanding of many issues discussed in this paper, both through his publications and through very stimulating personal discussions during the last quarter of a century. This project is part of a larger collaboration with Benoit Mandelbrot, who initiated it and continuously contributed via many discussions, and also with Juha Pekka Hovi and E. Rausch. We also acknowledge support from the German-Israeli Foundation.
PY - 2003/2
Y1 - 2003/2
N2 - Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional q-state Potts models at criticality. For q = 4 these include exact logarithmic (as well as log-log) corrections.
AB - Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional q-state Potts models at criticality. For q = 4 these include exact logarithmic (as well as log-log) corrections.
UR - http://www.scopus.com/inward/record.url?scp=0037316511&partnerID=8YFLogxK
U2 - 10.1142/S0218348X03001665
DO - 10.1142/S0218348X03001665
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AN - SCOPUS:0037316511
SN - 0218-348X
VL - 11
SP - 3
EP - 7
JO - Fractals
JF - Fractals
IS - SUPPL.
ER -