This book considers some exactly soluble lattice models in order to discuss modern methods and concepts in statistical mechanics. The authors use ideas from the theory of dynamical systems, general methods of statistical physics (thermodynamic limit, convexity and algebraic properties) and quantum mechanical techniques (Bethe Ansatz, conformal invariance, Perron-Frobenius theorem). The behaviour of systems are illustrated as dilute antiferromagnets, spin glasses, and modulated magnets and alloys. Specific examples are included to discuss the most important concepts (as disorder or...

Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the "arrow of time". This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods.