Area distribution and scaling function for punctured polygons
C. Richard, I. Jensen, and A. Guttmann. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
Punctured polygons are polygons with internal holes which are also polygons. The external and internal polygons are mutually as well as self-avoiding.
We report on recent progress in understanding their asymptotic behaviour. This includes predictions for scaling functions of punctured self-avoiding polygons in the perimeter and area ensemble. Our predictions are obtained by a combination of a rigorous analysis of area moments and a numerical analysis of series data obtained from exact enumeration.
%0 Book Section
%1 statphys23_0845
%A Richard, C.
%A Jensen, I.
%A Guttmann, A.J.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K function polygons scaling self-avoiding statphys23 topic-1
%T Area distribution and scaling function for punctured polygons
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=845
%X Punctured polygons are polygons with internal holes which are also polygons. The external and internal polygons are mutually as well as self-avoiding.
We report on recent progress in understanding their asymptotic behaviour. This includes predictions for scaling functions of punctured self-avoiding polygons in the perimeter and area ensemble. Our predictions are obtained by a combination of a rigorous analysis of area moments and a numerical analysis of series data obtained from exact enumeration.
@incollection{statphys23_0845,
abstract = {Punctured polygons are polygons with internal holes which are also polygons. The external and internal polygons are mutually as well as self-avoiding.
We report on recent progress in understanding their asymptotic behaviour. This includes predictions for scaling functions of punctured self-avoiding polygons in the perimeter and area ensemble. Our predictions are obtained by a combination of a rigorous analysis of area moments and a numerical analysis of series data obtained from exact enumeration.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Richard, C. and Jensen, I. and Guttmann, A.J.},
biburl = {https://www.bibsonomy.org/bibtex/2cac46ab1ade91904322a45c9782bd107/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {f3dc1691c393e17504e64797adfe70f9},
intrahash = {cac46ab1ade91904322a45c9782bd107},
keywords = {function polygons scaling self-avoiding statphys23 topic-1},
month = {9-13 July},
timestamp = {2007-06-20T10:16:30.000+0200},
title = {Area distribution and scaling function for punctured polygons},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=845},
year = 2007
}