This is an English edition of Dixmier's book, which is the first systematic exposition of the
algebraic approach to representations of Lie groups via representations of (or modules over) …

We study equilibrium statistical mechanics of Fermion lattice systems which require a
different treatment compared with spin lattice systems due to the non-commutativity of local …

Reissued in the Cambridge Mathematical Library this classic book outlines the theory of
thermodynamic formalism which was developed to describe the properties of certain …

We consider a compact set $\Omega $ with a homeomorphism (or more generally a
${{\mathbf {Z}}^\nu} $ action) such that expansiveness and Bowen's specification condition …

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 …

Convexity is important in theoretical aspects of mathematics and also for economists and
physicists. In this monograph the author provides a comprehensive insight into convex sets …

In this book, Robert Israel considers classical and quantum lattice systems in terms of
equilibrium statistical mechanics. He is especially concerned with the characterization of …

The objective of statistical mechanics is to explain the macroscopic properties of matter on
the basis of the behavior of the atom and molecules of which it is composed. One of the most …

We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices.
Of special interest is a linear combination of two of his sum rules which has strictly positive …

Intended for beginners in ergodic theory, this introductory textbook addresses students as
well as researchers in mathematical physics. The main novelty is the systematic treatment of …