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Théorie du Potentiel et Contrôle des Diffusions Markoviennes

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Control Theory, Numerical Methods and Computer Systems Modelling

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 107))

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Résumé

L’objet de ce travail est de donner une présentation rapide des principales méthodes de théorie du potentiel utilisées dans [2], qui nous ont permis d’obtenir des résultats d’existence très généraux dans des problèmes de contrôle optimal des diffusions. Afin d’éviter d’alourdir l’exposé, nous ferons des hypothèses simplificatrices chaque fois que cela sera nécessaire, en indiquant toutefois les généralisations possibles.

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References

  1. Bismut J.-M.: Analyse convexe et Probabilités. Thèse. Faculté des Sciences de Paris. Juin 1973,

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  2. Bismut J.-M.: Théorie probabiliste du Contrôle des Diffusions. Mémoire des Trans. of Am. Math. Soc. A paraître.

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  3. Blumenthal R.M. and Getoor R.K.: Markov Processes and Potential Theory. Acad. Press, New-York and Boston, 1968.

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© 1975 Springer-Verlag Berlin · Heidelberg

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Bismut, JM. (1975). Théorie du Potentiel et Contrôle des Diffusions Markoviennes. In: Bensoussan, A., Lions, J.L. (eds) Control Theory, Numerical Methods and Computer Systems Modelling. Lecture Notes in Economics and Mathematical Systems, vol 107. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46317-4_21

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  • DOI: https://doi.org/10.1007/978-3-642-46317-4_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07020-7

  • Online ISBN: 978-3-642-46317-4

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