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The papers presents in this volume cover different aspects of stochastic analysis, probability theory, quantum field theory, functional integration, ergodic theory, quantum theory, statistical modelling, random graph theory and percolation theory. The lectures also point out strong interactions between various fields: the fertility of the relations between probability theory and quantum theory and the intriguing and economical way of deriving the Classical Standard Model by using non-commutative geometry, in the approach used by Connes and Lott.