Generalizations and Interpretations of Incipient Infinite Cluster measure on Planar Lattices and Slabs

Generalizations and Interpretations of Incipient Infinite Cluster measure on Planar Lattices and Slabs

This thesis generalizes and interprets Kesten\'s Incipient Infinite Cluster (IIC) measure in two ways. Firstly we generalize Járai\'s result which states that for planar lattices the local configurations around a typical point taken from crossing collection is described by IIC measure. We...

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Bibliographic Details
Main Author: Basu, Deepan
Other Authors: Universität Leipzig,
Format: Doctoral Thesis
Language:English
Published: Universitätsbibliothek Leipzig 2017
Subjects:
Incipient-Infinite-Cluster-Maßen
Perkolation
Platten
Critical percolation
Planar percolation
Percolation on slabs
Incipient infinite cluster
IIC measure
ddc:500
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-223724
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-223724
http://www.qucosa.de/fileadmin/data/qucosa/documents/22372/Thesis.DBasu.pdf

Internet

http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-223724
http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-223724
http://www.qucosa.de/fileadmin/data/qucosa/documents/22372/Thesis.DBasu.pdf

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