Abstract
The author thanks J. Dieudonné (resp. E. Carlen) for fruitful discussions concerning structures (resp. stochastic analysis); and also Ph. Blanchard and Testard for invitation at this very interesting Marseille conference. In 1933, A.N. Kolmogoroff did found probability theory as geometry and as algebra as a mathematical discipline on the structure of abstract probability space (Ω,α,P).
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“ Il y a un nombre indéfini (et peut être même infini) de volumes dans la bibliothèque de Babel. Ces ouvrages sont écrits en diverses langues mais avec les mêmes signes à savoir le point, la virgule, l’espace et les lettres de l’alphabet... On ne peut former aucune suite de caractères par exemple d h c m r ℓ c h t d j que la divine bibliothèque n’ait déjà prévue, et qui dans quelqu’une de ses langues secrètes ne renferme une signification terrible... Finalement la bibliothèque est désertée par ses lecteurs bien que éclairée, solitaire, infinie, parfaitement immobile, armée de volumes précieux, inutile, incorruptible, secrète...”
J.L. BORGES, La Bibliothèque de Babel
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© 1990 Kluwer Academic Publishers
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Kree, P. (1990). Stochastic Analysis, Mathematical Structures and Distributions Methods. In: Albeverio, S., Blanchard, P., Testard, D. (eds) Stochastics, Algebra and Analysis in Classical and Quantum Dynamics. Mathematics and Its Applications, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-7976-8_7
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DOI: https://doi.org/10.1007/978-94-011-7976-8_7
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