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Analysis and Geometry on Graphs and Manifolds
A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.
Graphs and Discrete Dirichlet Spaces
The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects. In this book, all three themes are brought together coherently under the perspective of Dirichlet forms, providing a powerful and unified approach. The book gives a complete account of key topics of infinite graphs, such as essential self-adjointness, Markov uniqueness, spectral estimates, recurrence, and stochastic completeness. A major feature of the book is the use of intrinsic metrics to capture the geometry of graphs. As for manifolds, Dirichlet forms in the graph setting ...
Random Walks, Boundaries and Spectra
These proceedings represent the current state of research on the topics 'boundary theory' and 'spectral and probability theory' of random walks on infinite graphs. They are the result of the two workshops held in Styria (Graz and St. Kathrein am Offenegg, Austria) between June 29th and July 5th, 2009. Many of the participants joined both meetings. Even though the perspectives range from very different fields of mathematics, they all contribute with important results to the same wonderful topic from structure theory, which, by extending a quotation of Laurent Saloff-Coste, could be described by 'exploration of groups by random processes'.
Non-commutative Analysis
'This is a book to be read and worked with. For a beginning graduate student, this can be a valuable experience which at some points in fact leads up to recent research. For such a reader there is also historical information included and many comments aiming at an overview. It is inspiring and original how old material is combined and mixed with new material. There is always something unexpected included in each chapter, which one is thankful to see explained in this context and not only in research papers which are more difficult to access.'Mathematical Reviews ClippingsThe book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic proc...
Combined Membership List
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
The Concept of Dilemma in Legal and Judicial Ethics
Judges and lawyers have to shape their moral competences in order to maintain their professional ethics at a high standard if they want to effectively meet the challenges that modern society will throw at them. This requirement is due to the growing expectation that they will be socially and morally responsible for the law. Thus, the need to place ethics at the heart of legal education, and to make ethical reflection pervasive in academic courses, becomes more obvious every day. Using the concept and examples of moral dilemmas is a way of facilitating this task. The main purpose of this book is to analyse the concept of moral dilemma in context of judicial and legal ethics, and to provide ma...
