A Sheaf Property for Excessive Functions of Right Processes
Copyright policy )A Sheaf Property for Excessive Functions of Right Processes
AbstractOn a state space of a right process a facial topology depending upon some RAY compactification is introduced. With respect to this facial topology the right process is shown to exhibit a nice path behaviour. Furthermore, conditions are given which permit a local characterization of excessive functions with respect to the facial topology. This result gives a partial answer to an open question within the potential theory of H‐cones.
- Tio Business School Netherlands
Ray compactification, Probabilistic potential theory, right process, standard H-cones, excessive functions, local compactness, convexity theory, excessivity, potential theory of H-cones
Ray compactification, Probabilistic potential theory, right process, standard H-cones, excessive functions, local compactness, convexity theory, excessivity, potential theory of H-cones
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