Titlebook: New Paths Towards Quantum Gravity; Bernhelm Boo?-Bavnbek,G. Esposito,Matthias Lesch Book 2010 Springer-Verlag Berlin Heidelberg 2010 Gravi

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Notes on “Quantum Gravity” and Noncommutative Geometry paths towards quantum gravity” (Holbaek Bay, Denmark, May 2008). At the end, I decide against just selling my mathematical wares, and for a survey, necessarily very selective, but taking a global phenomenological approach to its subject matter. After all, noncommutative geometry does not purport ye

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Lectures on Cohomology, T-Duality, and Generalized GeometryPaths Towards Quantum Gravity”, Holb? k, Denmark, 10–16 May 2008. My aim for these lectures was to introduce a mixture of physics and mathematics postgraduate students into a selection of exciting new developments on the interface of mathematics and quantum field theory. This write-up covers three t

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Stochastic Geometry and Quantum Gravity: Some Rigorous Resultsvity theory (see Regge Nuovo Cimento .: 558–571, 1961). The aim is to define and construct rigorously point processes on spaces of Euclidean simplices in such a way that the configurations of these simplices are simplicial complexes. The main interest then is concentrated on their curvature properti

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ontents").Self-contained, with a view to numerical applicati.Malliavin calculus provides an infinite-dimensional differential calculus in the context of continuous paths stochastic processes. The calculus includes formulae of integration by parts and Sobolev spaces of differentiable functions define

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