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Titlebook: Stochastics, Algebra and Analysis in Classical and Quantum Dynamics; Proceedings of the I S. Albeverio,Ph. Blanchard,D. Testard Conference

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Bosonic Strings and Measures on Infinite Dimensional Manifolds, and the Liouville model studied in [25]. With the aim of further improving the mathematical framework underlying the reduction of the Polyakov measure to the Liouville measure already set up in [1], it gives a precise description of the formal steps of the reduction procedure in the context of Gaussian measures on infinite dimensional manifolds.
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https://doi.org/10.1007/978-94-011-7976-8Parameter; diffusion; dynamical systems; mathematical physics; stochastics; topology
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Nondegeneracy in the Perturbation Theory of Integrable Dynamical Systems,The most general nondegeneracy condition for the existence of invariant tori in nearly integrable and analytic Hamiltonian systems is formulated.
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,Introduction to Entire Cyclic Cohomology (of ℤ/2-Graded Banach Algebras), cocycles a priori connfined in dimension, the relevant Fredholm modules being then p-., a notion which (as noticed by Connes in [2]) only accomodates (in the test area of locally compact groups) the convolution algebras of “groups of slow growth”. In order to widen the range of applicability of his
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