Dynamics of complex and irregular systems : 16-20 December 1991, Germany
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書誌事項
Dynamics of complex and irregular systems : 16-20 December 1991, Germany
World Scientific, c1993
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内容説明・目次
内容説明
The papers presented in this volume cover a number of 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 proposed by connes and lott.
目次
- Part 1 Mathematical foundations: non standard representation of non normal traces, S. Albeverio et al
- superalgebras, non-commutative geometry and the standard model of electroweak interactions, R. Coquereaux
- quasi-invariant Borel measures on the group of continuous sections of some compact semisimple lie groups bundles, J. Marion. Part 2 Stochastic analysis: fixed point principles for stochastic partial differential equations, G. Cochran and J. Potthoff
- Une Remarque sur le Theoreme de Cameron-Martin, S. Roelly and H. Zessin
- the Feynman integral - recent results, L. Streit
- a primer in white noise analysis, W. Westerkamp. Part 3 Modelization and applications: percolation on lattices, random graphs and fractals - some results and problems, Ph Blanchard and D. Gandolfo
- analyzing the structure of contact graphs used in epidemiological models of AIDS, G.F. Bolz
- quasicrystals in one dimension, B. Lochum
- continuous wavelets, position - frequency analysis and phase space, B. Torresani. (Part contents).
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