2015/07/31 by Beznea, Lucian, Lupascu, Oana
#47D07 #60J35 #60J45 #FOS: Mathematics #Primary 60J80 #Probability (math.PR) #Secondary 60J40
paper · doi:10.48550/arxiv.1507.08759
We construct and study branching Markov processes on the space of finite configurations of the state space of a given standard process, controlled by a branching kernel and a killing one. In particular, we may start with a superprocess, obtaining a branching process with state space the finite configurations of positive finite measures on a topological space. A main tool in proving the path regularity of the branching process is the existence of convenient superharmonic functions having compact level sets, allowing the use of appropriate potential theoretical methods.