Llog L Condition for Supercritical Branching Hunt Processes

Rong-Li Liu (), Yan-Xia Ren () and Renming Song ()
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Rong-Li Liu: Peking University
Yan-Xia Ren: Peking University
Renming Song: The University of Illinois

Journal of Theoretical Probability, 2011, vol. 24, issue 1, 170-193

Abstract: Abstract In this paper we use the spine decomposition and martingale change of measure to establish a Kesten–Stigum Llog L theorem for branching Hunt processes. This result is a generalization of the results in Asmussen and Hering (Z. Wahrscheinlichkeitstheor. Verw. Geb. 36:195–212, 1976) and Hering (Branching Processes, pp. 177–217, 1978) for branching diffusions.

Keywords: Hunt processes; Branching Hunt processes; Kesten–Stigum theorem; Martingales; Martingale change of measure; 60J80; 60F15; 60J25 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10959-010-0322-7

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