This work is a detailed study of the phase transition in percolation,
in particular of the question of nite-size scaling: Namely, how
does the critical transition behavior emerge from the behavior of large, -
nite systems? Our results rigorously locate the proper window in which to
do critical computation and establish features of the phase transition. This
work is a nite-dimensional analogue of classic work on the critical regime of
the random graph model of Erdös and Rényi.
%0 Report
%1 Chayes1998FiniteSize
%A Chayes, J. T.
%B Proceedings of the International Congress of Mathematicians
%D 1998
%K scaling percolation critical-phenomena finite-size
%P 113--122
%T Finite-Size Scaling Percolation
%U http://research.microsoft.com/pubs/69685/tr-98-27.pdf
%V III
%X This work is a detailed study of the phase transition in percolation,
in particular of the question of nite-size scaling: Namely, how
does the critical transition behavior emerge from the behavior of large, -
nite systems? Our results rigorously locate the proper window in which to
do critical computation and establish features of the phase transition. This
work is a nite-dimensional analogue of classic work on the critical regime of
the random graph model of Erdös and Rényi.
@techreport{Chayes1998FiniteSize,
abstract = {{This work is a detailed study of the phase transition in percolation,
in particular of the question of nite-size scaling: Namely, how
does the critical transition behavior emerge from the behavior of large, -
nite systems? Our results rigorously locate the proper window in which to
do critical computation and establish features of the phase transition. This
work is a nite-dimensional analogue of classic work on the critical regime of
the random graph model of Erd\"os and R\'enyi.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Chayes, J. T.},
biburl = {https://www.bibsonomy.org/bibtex/2136444a832fe5ee6b6081a36151a608a/nonancourt},
booktitle = {Proceedings of the International Congress of Mathematicians},
citeulike-article-id = {4923858},
citeulike-linkout-0 = {http://research.microsoft.com/pubs/69685/tr-98-27.pdf},
interhash = {024296529f4607f8d50923ab42d6ceba},
intrahash = {136444a832fe5ee6b6081a36151a608a},
keywords = {scaling percolation critical-phenomena finite-size},
pages = {113--122},
posted-at = {2009-06-22 15:39:05},
priority = {2},
timestamp = {2019-08-01T16:16:40.000+0200},
title = {{Finite-Size Scaling Percolation}},
url = {http://research.microsoft.com/pubs/69685/tr-98-27.pdf},
volume = {III},
year = 1998
}