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100   $a20191203d2020      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
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200 10$aRandom Graphs, Phase Transitions, and the Gaussian Free Field $ePIMS-CRM Summer School in Probability, Vancouver, Canada, June 5?30, 2017 /$fedited by Martin T. Barlow, Gordon Slade
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XVII, 407 p. 110 illus., 33 illus. in color.) 
225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v304
311   $a3-030-32010-3 
327   $aScaling Limits of Random Trees and Random Graphs (C. Goldschmidt) -- Lectures on the Ising and Potts Models on the Hypercubic Lattice (H. Duminil-Copin) -- Extrema of the Two-Dimensional Discrete Gaussian Free Field (M. Biskup).
330   $aThe 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.
410  0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v304
606   $aProbabilities
606   $aGraph theory
606   $aMathematical statistics
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020
606   $aProbability and Statistics in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17036
615  0$aProbabilities.
615  0$aGraph theory.
615  0$aMathematical statistics.
615 14$aProbability Theory and Stochastic Processes.
615 24$aGraph Theory.
615 24$aProbability and Statistics in Computer Science.
676   $a519.2
702   $aBarlow$b Martin T$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aSlade$b Gordon$4edt$4http://id.loc.gov/vocabulary/relators/edt
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483098303321
996   $aRandom Graphs, Phase Transitions, and the Gaussian Free Field$92095536
997   $aUNINA