Stochastic Processes and their Applications

in Mathematics and Physics

Sergio Albeverio, Philip Blanchard, L. Streit (Herausgeber)

Buch | Hardcover

403 Seiten

1990
Kluwer Academic Publishers (Verlag)
978-0-7923-0894-2 (ISBN)

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'Et moi, ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt/.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. 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- linearities 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.

Stochastic stability for vector fields with a manifold of singular points, and an application to lattice gauge theory.- Ricci curvature and dimension for diffusion semigroups.- The Zitterbewegung of a Dirac electron in a central field.- Maximum entropy principles for Markov processes.- An optimal Carleman-type inequality for the Dirac operator.- Toeplitz operators — an asymptotic quantization of symplectic cones.- Perturbation theory for random disordered systems.- On rigorous hydrodynamics, self-diffusion and the Green-Kubo formulae.- A stochastic model for plasma dynamics.- Macroscopic potentials of dissipative dynamical systems.- Random-path intersections in geometry, probability and physics.- Noncummutative version of the central limit theorem and of Cramér’s theorem.- Distributions, Sobolev spaces on Gaussian vector spaces and Ito’s calculus.- On problems in stochastic differential equations connected with some particular type of interacting particles.- Asymptotic behaviors of moments for one-dimensional generalized diffusion processes.- Langevin equation and fluctuation-dissipation theorem.- The Dirichlet problem for quasi-linear partial differential operators with boundary data given by a distribution.- Stationary stochastic perturbation of a linear delay equation.- Random lattice models.- Interactions galileennes aimant-charge.- The polaron functional integral.- The Bosonic string.

Erscheint lt. Verlag	30.9.1990
Reihe/Serie	Mathematics and Its Applications ; 61
Reihe/Serie	Mathematics and Its Applications ; 61
Zusatzinfo	XIV, 403 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-7923-0894-8 / 0792308948
ISBN-13	978-0-7923-0894-2 / 9780792308942
Zustand	Neuware