Dynamics of Complex and Irregular Systems - Biefefeld Encounters in Mathematics and Physics VIII

Name: Dynamics of Complex and Irregular Systems - Biefefeld Encounters in Mathematics and Physics VIII
Brand: WORLD SCIENTIFIC PUB CO INC
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By: Ph Blanchard (Editor), L Streit (Editor), M Sirugue-Collin (Editor), D Testard (Editor)

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Hardcover | 1 December 1992

At a Glance

Hardcover
372 Pages

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22.23 x 15.88 x 2.54

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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.

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Non-Fiction Science Physics Mathematical Physics Science in General Maths for Scientists Classical Mathematics Mathematics Applied Mathematics Chaos Theory Booktopia Publisher Services World Scientific Publishing

Preface
Non Standard Representation of Non Normal Traces	p. 1
Symmetry Groups of C*-Algebras and Associated von Neumann Algebras	p. 12
Graded C*-Algebras Associated to Symplectic Spaces and Spectral Analysis of Many Channel Hamiltonians	p. 22
Weak K-monotonicity in Minimization Problems	p. 67
Superalgebras, Non-commutative Geometry, and the Standard Model of Electroweak Interactions	p. 79
Ergodic Theory on Recursive Lattices - A Theoretical Approach to Computer Simulations of Chaotic Systems	p. 91
Quasi-Invariant Borel Measures on the Group of Continuous Sections of Some Compact Semisimple Lie Group Bundles	p. 104
Understanding Spontaneous Symmetry Breaking in a Noncommutative Geometry Framework	p. 112
How to Generalize White Noise Analysis to Non-Gaussian Measures	p. 120
Spectral Approach to White Noise Analysis	p. 131
Fixed Point Principles for Stochastic Partial Differential Equations	p. 141
Une Remarque sur le Theoreme de Cameron-Martin	p. 149
The Weighted Branching Process	p. 154
The Feynman Integral - Recent Results	p. 166
A Generalization of the Characterization Theorem for Generalized Functionals of White Noise	p. 174
A Primer in White Noise Analysis	p. 188
Boltzmann's Principle for Brownian Motion on the Torus	p. 203
Convergence of the Conductance of an Euclidean Random Resistors Network: A Superadditive Approach	p. 222
Percolation on Lattices, Random Graphs and Fractals: Some Results and Problems	p. 237
Analyzing the Structure of Contact Graphs Used in Epidemiological Models of AIDS	p. 263
The Hopfield Model on Random Graphs: Lower Bounds on the Storage Capacity	p. 277
Non Gaussian Behaviour in Lorentz Lattice Gas Cellular Automata	p. 289
Random Multigraphs: Probability Models, Properties, and Applications	p. 296
Quasicrystals in One Dimension	p. 321
Quantum Fermi Maps Revisited	p. 327
Regularization of Singular Symbols and Semiclassical Asymptotics	p. 339
Continuous Wavelets, Position-Frequency Analysis and Phase Space	p. 345
Table of Contents provided by Blackwell. All Rights Reserved.

Dynamics of Complex and Irregular Systems - Biefefeld Encounters in Mathematics and Physics VIII

At a Glance

Hardcover

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You Can Find This Book In

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