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Year: 1993 Publisher: Strasbourg : Université Louis Pasteur,
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ISBN: 0821836153 Year: 2005 Publisher: Providence, R.I. American Mathematical Society
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Differential topology --- Algebraic topology --- Conformal mapping. --- Geometry, Hyperbolic. --- Measure theory. --- Differential topology. --- Complex manifolds. --- Hyperbolic spaces. --- Kleinian groups. --- Complex manifolds --- Conformal mapping --- Geometry, Hyperbolic --- Hyperbolic spaces --- Kleinian groups --- Measure theory --- Lebesgue measure --- Measurable sets --- Measure of a set --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Groups, Kleinian --- Discontinuous groups --- Hyperbolic complex manifolds --- Manifolds, Hyperbolic complex --- Spaces, Hyperbolic --- Geometry, Non-Euclidean --- Hyperbolic geometry --- Lobachevski geometry --- Lobatschevski geometry --- Geometry, Differential --- Topology --- Conformal representation of surfaces --- Mapping, Conformal --- Transformation, Conformal --- Geometric function theory --- Mappings (Mathematics) --- Surfaces, Representation of --- Transformations (Mathematics) --- Analytic spaces --- Manifolds (Mathematics)
ISBN: 3110172372 9783110172379 9786612194337 128219433X 3110198088 9783110198089 Year: 2008 Publisher: Berlin Boston
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Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik. Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science. This volume is an outcome of the special semester 2001 - Random Walks held at the Schrödinger Institute in Vienna, Austria. It contains original research articles with non-trivial new approaches based on applications of random walks and similar processes to Lie groups, geometric flows, physical models on infinite graphs, random number generators, Lyapunov exponents, geometric group theory, spectral theory of graphs and potential theory. Highlights are the first survey of the theory of the stochastic Loewner evolution and its applications to percolation theory (a new rapidly developing and very promising subject at the crossroads of probability, statistical physics and harmonic analysis), surveys on expander graphs, random matrices and quantum chaos, cellular automata and symbolic dynamical systems, and others. The contributors to the volume are the leading experts in the area. The book will provide a valuable source both for active researchers and graduate students in the respective fields.
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ISBN: 9783110859065 Year: 2011 Publisher: Berlin Boston
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