caa a22 4500 467892601 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10955-005-8012-z doi (NATIONALLICENCE)springer-10.1007/s10955-005-8012-z Maximal Clusters in Non-Critical Percolation and Related Models [Elektronische Daten] [Remco Der Hofstad, Frank Redig] We investigate the maximal non-critical cluster in a big box in various percolation-type models. We investigate its typical size, and the fluctuations around this typical size. The limit law of these fluctuations is related to maxima of independent random variables with law described by a single cluster. Springer Science + Business Media, Inc., 2006 maximal clusters nationallicence exponential law nationallicence Gumbel distribution nationallicence FKG inequality nationallicence second moment estimate nationallicence Der Hofstad Remco Department of Mathematics and Computer Science, Eindhoven University of Technology and EURANDOM, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Redig Frank Department of Mathematics and Computer Science, Eindhoven University of Technology and EURANDOM, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 671-703 0022-4715 122:4<671 2006 122 10955 https://doi.org/10.1007/s10955-005-8012-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8012-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Der Hofstad Remco Department of Mathematics and Computer Science, Eindhoven University of Technology and EURANDOM, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Redig Frank Department of Mathematics and Computer Science, Eindhoven University of Technology and EURANDOM, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 671-703 0022-4715 122:4<671 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer