We review results concerning the critical behavior of spin systems at equilibrium. We
consider the Ising and the general O (N)-symmetric universality classes, including the N→ 0 …

In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

We can no longer speak of the behaviour of the particle independently of the process of
observation. As a final consequence, the natural laws formulated mathematically in quantum …

This volume links field theory methods and concepts from particle physics with those in
critical phenomena and statistical mechanics, the development starting from the latter point …

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Common ground to recent studies exploiting relations between dynamical systems and
nonequilibrium statistical mechanics is, so we argue, the standard Gibbs formalism applied …

This self-contained book is a graduate-level introduction for mathematicians and for
physicists interested in the mathematical foundations of the field, and can be used as a …

These introductory notes are about functional renormalization group equations and some of
their applications. It is emphasised that the applicability of this method extends well beyond …

Why another book on the renormalization of field theory? This book aims to contribute to the
bridging of the gap between the treatments of renor malization in physics courses and the …