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1. |
Record Nr. |
UNISA996466863903316 |
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Titolo |
Seminaire de Probabilites XXIV 1988/89 [[electronic resource] /] / edited by Jacques Azema, Paul A. Meyer, Marc Yor |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1990 |
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ISBN |
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Edizione |
[1st ed. 1990.] |
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Descrizione fisica |
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1 online resource (V, 490 p.) |
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Collana |
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Séminaire de Probabilités, , 0720-8766 ; ; 1426 |
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Classificazione |
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Disciplina |
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Soggetti |
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Probabilities |
Probability Theory and Stochastic Processes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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A note on large deviations for wiener chaos -- A probabilistic approach to the boundedness of singular integral operators -- Predictable sets and set-valued processes -- Sur le lemme de mesurabilité de Doob -- Théorie des Processus de Production -- Modèles simples de la théorie du poteniel non linéaire -- Une representation gaussienne de l'indice d'un operateur -- On semi-martingales associated with crossings -- Sur une horloge fluctuante pour les processus de Bessel de petites dimensions -- A zero-one law for integral functionals of the bessel process -- Anticipative calculus for the poisson process based on the fock space -- Un traitement unifie de la representation des fonctionnelles de Wiener -- On convergence of semimartingales -- On pathwise uniqueness and expansion of filtrations -- Derivation par rapport au processus de bessel -- Filtration des ponts browniens et equations differentielles stochastiques lineaires -- Quelques remarques sur un theoreme de yan -- Sur la persistance du processus de Dawson-Watanabe stable. L'interversion de la limite en temps et de la renormalisation -- Convergence des surmatingales — Application aux vraisemblances partielles -- Sur les lois a symetrie elliptique -- Marches de Bernoulli quantiques -- A generalised biane process -- Illustration of the quantum central limit theorem by independent addition of spins -- The markov process of total spins -- Markov |
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chains as evans-hudson diffusions in fock space -- Diffusions quantiques I: Exemples élémentaires -- Diffusions quantiques II. Exemples élémentaires (suite) représentations chaotiques en temps continu -- Diffusions quantiques III: Théorie générale -- Formule de composition pour une classe d'opérateurs -- Application du calcul symbolique au calcul de la loi de certains processus -- On two transfer principles in stochastic differential geometry -- Sur les martingales d'Azéma (suite) -- Sur une formule de Bismut -- Calculs formels sur les e.d.s. de Stratonovitch -- Positivité sur l'espace de Fock -- The excessive domination principle is equivalent to the weak sector condition -- Une représentation des sousmartingales positives et ses applications -- Temps local du producit et du sup de deux semimartingales -- On a conjecture of F.B. knight two characterization results related to prediction processes -- Une remarque sur les lois echangeables -- Quelques corrections et améliorations à mon article “Le Semi-groupe d'une diffusion en liaison avec les trajectoires” paru dans le Séminaire de Probabilités de 1988. |
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Sommario/riassunto |
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The different papers contained in this volume are all research papers. The main directions of research which are being developed are: quantum probability, semimartingales and stochastic calculus. |
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2. |
Record Nr. |
UNINA9910828986903321 |
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Autore |
Hall J. I. |
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Titolo |
Moufang loops and groups with triality are essentially the same thing / / J.I. Hall |
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Pubbl/distr/stampa |
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Providence, RI : , : American Mathematical Society, , [2019] |
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©2019 |
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ISBN |
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Descrizione fisica |
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1 online resource (206 pages) : illustrations |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 1252 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"July 2019, volume 260, number 1252 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Category theory -- Quasigroups and loops -- Latin square designs -- Groups with triality -- The functor B -- Monics, covers, and isogeny in TriGrp -- Universals and adjoints -- Moufang loops and groups with triality are essentially the same thing -- Moufang loops and groups with triality are not exactly the same thing -- The functors S and M -- The functor G -- Multiplication groups and autotopisms -- Doro's approach -- Normal structure -- Some related categories and objects -- An introduction to concrete triality -- Orthogonal spaces and groups -- Study's and Cartan's triality -- Composition algebras -- Freudenthal's triality -- The loop of units in an octonion algebra. |
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Sommario/riassunto |
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"In 1925, Elie Cartan introduced the principal of triality specifically for the Lie groups of type D4, and in 1935 Ruth Moufang initiated the study of Moufang loops. The observation of the title was made by Stephen Doro in 1978 who was in turn motivated by work of George Glauberman from 1968. Here we make the statement precise in a categorical context. In fact the most obvious categories of Moufang loops and groups with triality are not equivalent, hence the need for the word "essentially.""-- |
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