The dimension of the boundary of super-Brownian motion

Leonid Mytnik; Edwin Perkins

doi:10.1007/s00440-018-0866-5

The dimension of the boundary of super-Brownian motion

Leonid Mytnik, Edwin Perkins

Data and Decision Sciences

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

Abstract

We show that the Hausdorff dimension of the boundary of d-dimensional super-Brownian motion is 0, if d= 1 , 4-22, if d= 2 , and (9-17)/2, if d= 3.

Original language	English
Pages (from-to)	821-885
Number of pages	65
Journal	Probability Theory and Related Fields
Volume	174
Issue number	3-4
DOIs	https://doi.org/10.1007/s00440-018-0866-5
State	Published - 1 Aug 2019

Keywords

Hausdorff dimension
Local time
Super-Brownian motion

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s00440-018-0866-5

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title = "The dimension of the boundary of super-Brownian motion",

abstract = "We show that the Hausdorff dimension of the boundary of d-dimensional super-Brownian motion is 0, if d= 1 , 4-22, if d= 2 , and (9-17)/2, if d= 3.",

keywords = "Hausdorff dimension, Local time, Super-Brownian motion",

author = "Leonid Mytnik and Edwin Perkins",

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KW - Local time

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ER -

The dimension of the boundary of super-Brownian motion

Abstract

Keywords

ASJC Scopus subject areas

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