1 results
Search Results
Now showing 1 - 1 of 1
- ItemOptimal Hölder index for density states of superprocesses with (1+[beta])-branching mechanism(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Fleischmann, Klaus; Mytnik, Leonid; Wachtel, VitaliFor 0 < alpha leq 2, a super-alpha-stable motion X in R^d with branching of index 1 + beta in (1,2) is considered. If d < alpha / beta, a dichotomy for the density of states X_t at fixed times t > 0 holds: the density function is locally Hölder continuous if d = 1 and alpha > 1 + beta, but locally unbounded otherwise. Moreover, in the case of continuity, we determine the optimal Hölder index.