It is rather paradoxical that, although entropy is one of the most important quantities in
physics, its main properties are rarely listed in the usual textbooks on statistical mechanics …

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) …

Is entanglement an exclusive feature of quantum systems, or is it common to all non-
classical theories? And if this is the case, how strong is quantum mechanical entanglement …

Proof of the Strong Subadditivity of Quantum-Mechanical Entropy Page 1 Recherche
Coopérative sur Programme no 25 ELLIOTT H. LIEB MARY BETH RUSKAI Proof of the Strong …

From the reviews:"... Besides the fact that the author's treatment of large deviations is a nice
contribution to the literature on the subject, his book has the virue that it provides a …

In this manuscript, we offer a gentle review of submodularity and supermodularity and their
properties. We offer a plethora of submodular definitions; a full description of a number of …

Several convex mappings of linear operators on a Hilbert space into the real numbers are
derived, an example being AH-Trace exp (L+ In A). Some of these have applications to …

We study the statistical mechanics of an infinite one-dimensional classical lattice gas.
Extending a result of van Hove we show that, for a large class of interactions, such a system …

The trace over the degrees of freedom located in a subset of the space transforms the
vacuum state into a mixed density matrix with nonzero entropy. This is usually called …

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 …