Nonuniqueness in the martingale problem and the Dirichlet problem for uniformly elliptic operators
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Nikolai Nadirashvili (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
H. Hammouch (2004)
Annales Polonici Mathematici
Wiener and compensated Poisson processes, as normal martingales, are associated to classical sequences of polynomials, namely Hermite polynomials for the first one and Charlier polynomials for the second. The problem studied in this paper is to find if there exist other normal martingales which are associated to classical sequences of polynomials. Privault, Solé and Vives [5] solved this problem via the quantum Kabanov formula under some assumptions on the normal martingales considered. We solve...
Mariusz Michta (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Set-valued semimartingales are introduced as an extension of the notion of single-valued semimartingales. For such multivalued processes their semimartingale selection properties are investigated.
Michel Émery (1983)
Séminaire de probabilités de Strasbourg
T. Jeulin, M. Yor (1978)
Annales scientifiques de l'École Normale Supérieure
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