Investigators at Swiss Federal Institute of Technology Zero in on Probability Research

摘要

2011 APR 11 - (VerticalNews.com) -- According to recent research published in thernjournal Annals of Probability, "The vacant set of random interlacements on Z(d), d>= 3, hasrnnontrivial percolative properties. It is known from Sznitman [Ann. Math. 171 (2010) 2039-rn2087], Sidoravicius and Sznitman [Comm. Pure Appl. Math. 62 (2009) 831-858] that there is arnnondegenerate critical value u(*) such that the vacant set at level u percolates when u< u(*) andrndoes not percolate when u> u(*)."