Snake representation of a super-Brownian reactant in the catalytic region
- Fleischmann, Klaus
- Xiong, Jie
2010 Mathematics Subject Classification
- 60K35 60G57 60J80
- Markov branching process, admissible catalyst, part of reactant, superprocess, collision measure, collision local time, catalytic Brownian snake, modified hitting measure
For a continuous super-Brownian reactant X in R^d with general catalyst rho a Brownian snake representation is derived for the part X^c of X in the catalyst region. This extends results of Dawson et al. (2002) and Klenke (2003) in that it allows the collision local time of an intrinsic reactant particle with the catalyst to have flat pieces, caused by catalyst-free regions.