Ebook: Stochastics, Algebra and Analysis in Classical and Quantum Dynamics: Proceedings of the IVth French-German Encounter on Mathematics and Physics, CIRM, Marseille, France, February/March 1988

'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile':' human race. It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . . . '; 'One service logic has rendered com­ puter science . . . '; 'One service category theory has rendered mathematics . . . '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches.

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Content:
Front Matter....Pages i-xv
White Noise and Stochastic Analysis....Pages 1-14
Quelques Remarques sur le Cut-Locus Sous-Riemannien....Pages 15-22
Simulation on Random Graphs of the Epidemic Dynamics of Sexually Transmitted Diseases — A New Model for the Epidemiology of AIDS....Pages 23-51
Sur une Version a Deux Dimensions du Modele de Ginzburg et Landau pour la Supraconductivite....Pages 53-61
Differential Calculus and Integration by Parts on Poisson Space....Pages 63-73
Introduction to Entire Cyclic Cohomology (of ?/2-Graded Banach Algebras)....Pages 75-152
Stochastic Analysis, Mathematical Structures and Distributions Methods....Pages 153-168
Ward Identities for Conformal Models....Pages 169-172
Dynamical Systems in Plasma Theory....Pages 173-187
Bosonic Strings and Measures on Infinite Dimensional Manifolds....Pages 189-203
A Reaction-Diffusion Model for Moderately Interacting Particles....Pages 205-209
Nondegeneracy in the Perturbation Theory of Integrable Dynamical Systems....Pages 211-223
Energy Forms in Terms of White Noise....Pages 225-233
Linear Stability and the Parameter Modulation Approach for Solitary Waves in Hamiltonian Systems with Symmetries....Pages 235-246
Back Matter....Pages 247-247

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Content:
Front Matter....Pages i-xv
White Noise and Stochastic Analysis....Pages 1-14
Quelques Remarques sur le Cut-Locus Sous-Riemannien....Pages 15-22
Simulation on Random Graphs of the Epidemic Dynamics of Sexually Transmitted Diseases — A New Model for the Epidemiology of AIDS....Pages 23-51
Sur une Version a Deux Dimensions du Modele de Ginzburg et Landau pour la Supraconductivite....Pages 53-61
Differential Calculus and Integration by Parts on Poisson Space....Pages 63-73
Introduction to Entire Cyclic Cohomology (of ?/2-Graded Banach Algebras)....Pages 75-152
Stochastic Analysis, Mathematical Structures and Distributions Methods....Pages 153-168
Ward Identities for Conformal Models....Pages 169-172
Dynamical Systems in Plasma Theory....Pages 173-187
Bosonic Strings and Measures on Infinite Dimensional Manifolds....Pages 189-203
A Reaction-Diffusion Model for Moderately Interacting Particles....Pages 205-209
Nondegeneracy in the Perturbation Theory of Integrable Dynamical Systems....Pages 211-223
Energy Forms in Terms of White Noise....Pages 225-233
Linear Stability and the Parameter Modulation Approach for Solitary Waves in Hamiltonian Systems with Symmetries....Pages 235-246
Back Matter....Pages 247-247
....