Open Access
2019 Improved Hölder continuity near the boundary of one-dimensional super-Brownian motion
Jieliang Hong
Electron. Commun. Probab. 24: 1-12 (2019). DOI: 10.1214/19-ECP237

Abstract

We show that the local time of one-dimensional super-Brownian motion is locally $\gamma $-Hölder continuous near the boundary if $0<\gamma <3$ and fails to be locally $\gamma $-Hölder continuous if $\gamma >3$.

Citation

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Jieliang Hong. "Improved Hölder continuity near the boundary of one-dimensional super-Brownian motion." Electron. Commun. Probab. 24 1 - 12, 2019. https://doi.org/10.1214/19-ECP237

Information

Received: 3 August 2018; Accepted: 26 April 2019; Published: 2019
First available in Project Euclid: 5 June 2019

zbMATH: 07068652
MathSciNet: MR3962478
Digital Object Identifier: 10.1214/19-ECP237

Subjects:
Primary: 26A16 , 60J55 , 60J68

Keywords: Hölder continuity , Local time , Super-Brownian motion

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