منابع مشابه
Homotopy Probability Theory I
This is the first of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. In this paper, cumulants are proved to coincide with morphisms of homotopy algebras. The sequel paper outlines how the framework presented here can assist in the development of homotopy probability theory, allowing the principles of deri...
متن کاملHomotopy Probability Theory
This is the first of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. In this paper, cumulants are proved to coincide with morphisms of homotopy algebras. The sequel paper outlines how the framework presented here can assist in the development of homotopy probability theory, allowing the principles of deri...
متن کاملHomotopy Probability Theory Ii
This is the second of two papers that introduce a deformation theoretic framework to explain and broaden a link between homotopy algebra and probability theory. This paper outlines how the framework can assist in the development of homotopy probability theory, where a vector space of random variables is replaced by a chain complex of random variables. This allows the principles of derived mathe...
متن کاملCones in Homotopy Probability Theory
This note defines cones in homotopy probability theory and demonstrates that a cone over a space is a reasonable replacement for the space. The homotopy Gaussian distribution in one variable is revisited as a cone on the ordinary Gaussian.
متن کاملDirected Homotopy Theory , I
Résumé. La Topologie Algébrique Dirigée est en train d'émerger, à partir de plusieurs applications. La structure de base que nous étudions ici, un espace dirigé ou d-éspace, est un éspace topologique muni d'une famille convenable de chemins dirigés. Dans ce cadre, les homotopies dirigées, généralement non réversibles, sont répresentées par des foncteurs cylindre et cocylindre. L'existence des r...
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ژورنال
عنوان ژورنال: Journal of Homotopy and Related Structures
سال: 2013
ISSN: 2193-8407,1512-2891
DOI: 10.1007/s40062-013-0067-y