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Probabilities and potential C : potential theory for discrete and continuous semigroups
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ISBN: 9780444703866 0444703861 9780080872629 008087262X Year: 1988 Publisher: New York Elsevier

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This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping, maximum principle. The second chapter begins with a study of the notion of reduction in the most general situation possible - the ``gambling house'' of Dubins and Savage. The beautiful results presented have never been made accessible to a wide public. These are then connected with the theory of sweeping with respect to a cone of continuous functions, and the integral representation in compact convex sets. The third chapter presents new or little-known results, with the aim of illustrating the effectiveness of capacitary methods in the most varied fields. The last two chapters are concerned with the theory of resolvents. The fourth and last part of the English edition will be devoted to the theory of Markov processes.


Book
Quantum probability and applications 3: proceedings of a conference held in Oberwolfach, FRG, January 25-31, 1987
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Year: 1988 Publisher: Berlin

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Book
Statistics and probability in modern life
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ISBN: 0030083672 Year: 1988 Publisher: New York

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Book
Algebraic probability theory
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ISBN: 0471918032 Year: 1988 Publisher: Chichester Wiley

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Book
Syllabus 1985-1987
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ISBN: 9061963508 Year: 1988 Publisher: Amsterdam

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Book
Divisors
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ISBN: 051156600X Year: 1988 Publisher: Cambridge : Cambridge University Press,

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This is a systematic account of the multiplicative structure of integers, from the probabilistic point of view. The authors are especially concerned with the distribution of the divisors, which is as fundamental and important as the additive structure of the integers, and yet until now has hardly been discussed outside of the research literature. Hardy and Ramanujan initiated this area of research and it was developed by Erdös in the thirties. His work led to some deep and basic conjectures of wide application which have now essentially been settled. This book contains detailed proofs, some of which have never appeared in print before, of those conjectures that are concerned with the propinquity of divisors. Consequently it will be essential reading for all researchers in analytic number theory.


Dissertation
Approche probabiliste en mécanique des sols avec prise en compte de la variabilité spatiale
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Year: 1988 Publisher: Lausanne : Ecole polytechnique fédérale de Lausanne [E.P.F.L.],

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Book
Frequency and risk analyses in hydrology
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ISBN: 0918334640 9780918334640 Year: 1988 Publisher: Littleton (Colo.): Water resources publications,

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Nonlinear stochastic dynamic engineering systems : IUTAM symposium, Innsbruck, June 21-26, 1987
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ISBN: 3540188045 3642833365 3642833349 Year: 1988 Publisher: Berlin Heidelberg New York Springer

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