caa a22 4500 467893152 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10955-005-9014-6 doi (NATIONALLICENCE)springer-10.1007/s10955-005-9014-6 The Scaling Limit Geometry of Near-Critical 2D Percolation [Elektronische Daten] [Federico Camia, Luiz Fontes, Charles Newman] We analyze the geometry of scaling limits of near-critical 2D percolation, i.e., for p = p c+λδ1/ν, with ν = 4/3, as the lattice spacing δ → 0. Our proposed framework extends previous analyses for p = p c, based on SLE 6. It combines the continuum nonsimple loop process describing the full scaling limit at criticality with a Poissonian process for marking double (touching) points of that (critical) loop process. The double points are exactly the continuum limits of "macroscopically pivotal” lattice sites and the marked ones are those that actually change state as λ varies. This structure is rich enough to yield a one-parameter family of near-critical loop processes and their associated connectivity probabilities as well as related processes describing, e.g., the scaling limit of 2D minimal spanning trees. Springer Science + Business Media, Inc., 2006 scaling limits nationallicence percolation nationallicence near-critical nationallicence minimal spanning tree nationallicence finite size scaling nationallicence Camia Federico Department of Mathematics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands aut Fontes Luiz Instituto de Matemática e Estatística, Universidade de São Paulo, Paulo, Italy aut Newman Charles Courant Inst. of Mathematical Sciences, New York University, New York, USA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/5-6(2006-12-01), 1155-1171 0022-4715 125:5-6<1155 2006 125 10955 https://doi.org/10.1007/s10955-005-9014-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-9014-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Camia Federico Department of Mathematics, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands aut NATIONALLICENCE 700 1- Fontes Luiz Instituto de Matemática e Estatística, Universidade de São Paulo, Paulo, Italy aut NATIONALLICENCE 700 1- Newman Charles Courant Inst. of Mathematical Sciences, New York University, New York, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/5-6(2006-12-01), 1155-1171 0022-4715 125:5-6<1155 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer