This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automa…
This book offers a detailed review of perturbed random walks, perpetuities, and random processes with immigration. Being of major importance in modern probability theory, both theoretical and applied, these objects have been used to model various phenomena in the natural sciences as well as in insurance and finance. The book also presents the many significant results and efficient techniques an…
This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. Emphasising the correct usage of the methods presented, each step required for the proofs is examined in detail. As a result, this textb…
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept t…
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated wit…
This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a n…
Offering an up-to-date account of systems theories and its applications, this book provides a different way of resolving problems and addressing challenges in a swift and practical way, without losing overview and not having a grip on the details. From this perspective, it offers a different way of thinking in order to incorporate different perspectives and to consider multiple aspects of any g…
What does it mean to unlearn? Once we have learned something, is it ever possible to unlearn that something? If something is said to have been unlearned, does that mean that it is simply forgotten or does some residual force of learning, some perverse force, also resonate in ways that might help us to rethink traditional approaches to teaching and learning? Might we say that education today is …
Since the 1990s, internationalisation has become key for institutions wishing to secure funding for higher education and research. For the academic community, this strategic shift has had many consequences. Priorities have changed and been influenced by new ways of thinking about universities, and of measuring their impact in relation to each other and to their social goals. Debates are ongoing…
Contingent Encounters offers a sustained comparative study of improvisation as it appears between music and everyday life. Drawing on work in musicology, cultural studies, and critical improvisation studies, as well as his own performing experience, Dan DiPiero argues that comparing improvisation across domains calls into question how improvisation is typically recognized. By comparing the musi…