Abstract
We use a renormalization of the total mass of the exit measure from the complement of a small ball centered at for to give a new construction of the total local time of super-Brownian motion at x.
Acknowledgments
This work was done as part of the author’s graduate studies at the University of British Columbia. I would like to thank my supervisor, Professor Edwin Perkins, for suggesting this problem and for the helpful discussions and suggestions throughout this work. I also thank two anonymous referees for their comments and suggestions which help to improve the readability of the manuscript.
Citation
Jieliang Hong. "An exit measure construction of the total local time of super-Brownian motion." Electron. Commun. Probab. 26 1 - 9, 2021. https://doi.org/10.1214/21-ECP412
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