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2021 An exit measure construction of the total local time of super-Brownian motion
Jieliang Hong
Author Affiliations +
Electron. Commun. Probab. 26: 1-9 (2021). DOI: 10.1214/21-ECP412

Abstract

We use a renormalization of the total mass of the exit measure from the complement of a small ball centered at xRd for d3 to give a new construction of the total local time Lx 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

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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

Information

Received: 9 November 2020; Accepted: 20 June 2021; Published: 2021
First available in Project Euclid: 28 June 2021

arXiv: 2001.07269
Digital Object Identifier: 10.1214/21-ECP412

Subjects:
Primary: 35J75, 60G57, 60J55, 60J68

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