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The lace expansion is a powerful and flexible method for understanding the critical scaling of several models of interest in probability, statistical mechanics, and combinatorics, above their upper critical dimensions. These models include the self-avoiding walk, lattice trees and lattice animals, percolation, oriented percolation, and the contact process. This volume provides a unified and extensive overview of the lace expansion and its applications to these models. Results include proofs of existence of critical exponents and construction of scaling limits. Often, the scaling limit is described in terms of super-Brownian motion.

Percolation (Statistical physics) --- Scaling laws (Statistical physics) --- Mathematical statistics. --- Probabilities. --- Percolation (Physique statistique) --- Lois d'échelle (Physique statistique) --- Statistique mathématique --- Probabilités --- Electronic books. -- local. --- Percolation (Statistical physics). --- Scaling laws (Statistical physics). --- Mathematical statistics --- Probabilities --- Physics --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Mathematical Statistics --- Atomic Physics --- Probability --- Statistical inference --- Statistics, Mathematical --- Ratio and proportion (Statistical physics) --- Scale invariance (Statistical physics) --- Scaling hypothesis (Statistical physics) --- Scaling phenomena (Statistical physics) --- Statistical methods --- Mathematics. --- Combinatorics. --- Physics. --- Probability Theory and Stochastic Processes. --- Theoretical, Mathematical and Computational Physics. --- Combinations --- Chance --- Least squares --- Risk --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Combinatorics --- Algebra --- Mathematical analysis --- Math --- Science --- Physical laws --- Ranking and selection (Statistics) --- Statistical physics --- Statistics --- Sampling (Statistics) --- Lattice theory --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Mathematical physics. --- Physical mathematics

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Family law. Inheritance law --- France

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Monasteries --- History --- Carthusians --- Grande Chartreuse (France) --- History. --- History. --- France --- Church history.

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