Displaying similar documents to “On the existence of resolvents”

Hitting distributions domination and subordinate resolvents; an analytic approach

Nicu Boboc, Gheorghe Bucur (2006)

Open Mathematics

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We give an analytic version of the well known Shih's theorem concerning the Markov processes whose hitting distributions are dominated by those of a given process. The treatment is purely analytic, completely different from Shih's arguments and improves essentially his result (in the case when the given processes are transient

Duality and the Martin compactification

John C. Taylor (1972)

Annales de l'institut Fourier

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Let ℋ be a Bauer sheaf that admits a Green function. Then there exists a diffusion process corresponding to the sheaf whose resolvent possesses a Hunt-Kunita-Watanabe dual resolvent that comes from a diffusion process. If ℋ is a Brelot sheaf which possesses an adjoint sheaf ℋ * the dual process corresponds to ℋ * . The Martin compactification defined by a Brelot sheaf ℋ that admits a Green function coincides with a Kunita-Watanabe compactification defined by the dual resolvent. ...