We show that the local time of one-dimensional super-Brownian motion is locally $\gamma$-H\"older continuous near the boundary if $0<\gamma<3$ and fails to be locally $\gamma$-H\"older continuous if $\gamma>3$.
Renormalization of local times of super-Brownian motion
Tanaka formula and local time for a class of interacting branching measure-valued diffusions
Change of Variables with Local Time on Surfaces for Jump Processes
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