Any physical process can be represented as a quantum channel map** an initial state to a
final state. Hence it can be characterized from the point of view of communication theory, ie …

Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

This book is an introduction to the modern theory of Markov chains, whose goal is to
determine the rate of convergence to the stationary distribution, as a function of state space …

In this book we describe the elementary theory of operator algebras and parts of the
advanced theory which are of relevance, or potentially of relevance, to mathematical …

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

This book deals with one of the fundamental problems of nonequilibrium statistical
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …

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 …

Recently, it became apparent that a large number of the most interesting structures and
phenomena of the world can be described by networks. To develop a mathematical theory of …

Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

This pedagogical and self-contained text describes the modern mean field theory of simple
structural glasses. The book begins with a thorough explanation of infinite-dimensional …