On extremal solutions of martingale problems
D. W. Stroock, M. Yor (1980)
Annales scientifiques de l'École Normale Supérieure
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D. W. Stroock, M. Yor (1980)
Annales scientifiques de l'École Normale Supérieure
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Philippe Carmona, Frédérique Petit, Marc Yor (1998)
Revista Matemática Iberoamericana
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In this paper, we study particular examples of the intertwining relation
QtΛ = ΛPt
between two Markov semi-groups (Pt, t ≥ 0) defined respectively on (E,ε) and (F,
B. Rajeev, M. Yor (1995)
Annales de l'I.H.P. Probabilités et statistiques
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Catherine Donati-Martin, Raouf Ghomrasni, Marc Yor (2001)
Revista Matemática Iberoamericana
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We obtain a closed formula for the Laplace transform of the first moment of certain exponential functionals of Brownian motion with drift, which gives the price of Asian options. The proof relies on an identity in law between the average on [0,t] of a geometric Brownian motion and the value at time t of a Markov process, for which we can compute explicitly the resolvent.
Shinzo Watanabe (1987)
Annales de l'I.H.P. Probabilités et statistiques
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Nathanaël Enriquez (2007)
Annales de l'I.H.P. Probabilités et statistiques
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