On the topological boundary of the range of super-brownian motion

Jieliang Hong; Leonid Mytnik; Edwin Perkins

doi:10.1214/19-AOP1386

On the topological boundary of the range of super-brownian motion

Jieliang Hong, Leonid Mytnik, Edwin Perkins

Data and Decision Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We show that if ∂R is the boundary of the range of super-Brownian motion and dim denotes Hausdorff dimension, then with probability one, for any open set U, U ∩ ∂R≠ Ø implies This improves recent results of the last two authors by working with the actual topological boundary, rather than the boundary of the zero set of the local time, and establishing a local result for the dimension.

Original language	English
Pages (from-to)	1168-1201
Number of pages	34
Journal	Annals of Probability
Volume	48
Issue number	3
DOIs	https://doi.org/10.1214/19-AOP1386
State	Published - 1 May 2020

Keywords

Hausdorff dimension
Super-brownian motion

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/19-AOP1386

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On the topological boundary of the range of super-brownian motion

Abstract

Keywords

ASJC Scopus subject areas

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