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.
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.
"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