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This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems in the discrete and the continuum. After a short introduction describing the structure of the book, its aim and motivation, the basic elements of the theory are presented in chapter 2. The...

Despite of its title, this book is not a compendium of a young entomologist's research on new exotic species of colorful butterflies. In the pages of this book you will not find the story of a hunter determined to catch unknown specimen of enigmatic multicolored insects living in the forest in the heart of Africa or South America. The unwary reader, possibly intrigued by the title, should be somehow surprised to realize that this work is about Mathematical Physics. Nevertheless, this ambiguity hides some truths. Mathematical ideas fly light with butterfly wings in the mathematician's mind....