Predictable local times and exit systems. (English) Zbl 0607.60060

Kaspi, Haya; Maisonneuve, Bernard

Probabilités XX, Proc. Sémin., Strasbourg 1984/85, Lect. Notes Math. 1204, 95-100 (1986).

[For the entire collection see Zbl 0593.00014.]
Ordinary predictable local times and exit systems do not exist in full generality for a Hunt process and a homogeneous optional closed set. We prove that this is the case, however, when the predictability refers to the filtration of the excursion process.

MSC:

60J25	Continuous-time Markov processes on general state spaces
60J50	Boundary theory for Markov processes
60G17	Sample path properties

Keywords:

predictable exit systems; predictable local times; Hunt process

Citations:

Zbl 0593.00014