Complex networks describe a wide range of systems in nature and society. Frequently cited
examples include the cell, a network of chemicals linked by chemical reactions, and the …

Praise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical
computer science will welcome the new edition of this book.”-MAA Reviews Maintaining a …

Suppose we immerse a large porous stone in a bucket of water. What is the probability that
the centre of the stone is wetted? In formulating a simple stochastic model for such a …

This course aims to be a (nearly) self-contained account of part of the mathematical theory of
percolation and related topics. The first nine chapters summarise rigorous results in …

This second edition of the popular textbook contains a comprehensive course in modern
probability theory, covering a wide variety of topics which are not usually found in …

Percolation theory was initiated some fifty years ago as a mathematical framework for the
study of random physical processes such as flow through a disordered porous medium. It …

Das vorliegende Buch basiert auf den vierstündigen Vorlesungen Stochastik I und
Stochastik II, die ich in den vergangenen Jahren an der Universität zu Köln und an der …

Therandom-clustermodelwasinventedbyCees [Kees] FortuinandPietKasteleyn around 1969
as a uni? cation of percolation, Ising, and Potts models, and as an extrapolation of electrical …

This survey describes a general approach to a class of problems that arise in combinatorial
probability and combinatorial optimization. Formally, the method is part of weak …

We reconsider the conceptual foundations of the renormalization-group (RG) formalism, and
prove some rigorous theorems on the regularity properties and possible pathologies of the …