%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 }