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Book synopsis

The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the fre field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces.The purpose of these notes is to explore some simple relations between Markovian path and loop measures, the Poissonian ensembles of loops they determine, their occupation fields, uniform spanning trees, determinants, and Gaussian Markov fields such as the free field. These relations are first studied in complete generality for the finite discrete setting, then partly generalized to specific examples in infinite and continuous spaces.

Book details

Book category Books in English Mathematics & science Mathematics Applied mathematics

• Full title: Markov Paths, Loops and Fields
• Author: Yves LeJan
• Language: English
• Binding: Paperback
• Number of pages: 124
• EAN: 9783642212154
• ISBN: 3642212158
• ID: 01658036
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 299 g
• Dimensions: 235 × 155 × 8 mm
• Date of publishing: 06. July 2011

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