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Currently displaying 1 – 6 of 6

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Strong solutions for stochastic differential equations with jumps

Zenghu Li; Leonid Mytnik — 2011

Annales de l'I.H.P. Probabilités et statistiques

General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada–Watanabe type. The results are applied to stochastic equations driven by spectrally positive Lévy processes.

Mutually catalytic branching in the plane : uniqueness

Donald A. Dawson; Klaus Fleischmann; Leonid Mytnik; Edwin A. Perkins; Jie Xiong — 2003

Annales de l'I.H.P. Probabilités et statistiques

Competing species superprocesses with infinite variance.

Fleischmann, Klaus; Mytnik, Leonid — 2003

Electronic Journal of Probability [electronic only]

Local extinction for superprocesses in random environments.

Mytnik, Leonid; Xiong, Jie — 2007

Electronic Journal of Probability [electronic only]

Competing super-Brownian motions as limits of interacting particle systems.

Durrett, Richard; Mytnik, Leonid; Perkins, Edwin — 2005

Electronic Journal of Probability [electronic only]

Mutually catalytic branching in the plane: Infinite measure states.

Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie — 2002

Electronic Journal of Probability [electronic only]

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