On Certain Extensions of a Rotation Invariant Markov Process

Juha Vuolle-Apiala ()
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Juha Vuolle-Apiala: University of Vaasa

Journal of Theoretical Probability, 2003, vol. 16, issue 4, 957-969

Abstract: Abstract Let (X t ,P x ) be a rotation invariant (RI) Feller process on R d ∖{0}, d≥2. We study certain type of strong Markov extensions of (X t ,P x ) to R d . It turns out that that the unique (RI) extension always exists and is of that type. We give a kind of quasi-ergodicy condition (E) under which the (RI) extension is the only extension of that type. A class of processes fulfilling (E) is also characterized.

Keywords: Markov process; excursion theory; entrance law; rotation invariant; Feller process; skew product (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/B:JOTP.0000012002.08107.34

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