Uniform measure results for the image of subsets under Brownian motion期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Uniform measure results for the image of subsets under Brownian motion

Authors:	Edwin A. Perkins S. James Taylor

Affiliation:	(1) Department of Mathematics, University of British Columbia, V6T 1Y4 Vancouver, BC, Canada;(2) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA

Abstract:	Summary The paper obtains bounds on the Hausdorff and packing measures of the imageX(E) of a Borel setE by a transient strictly stable processX_t which a.s. hold for allE and for every measure function $h_{beta ,gamma } (s) = s^beta left\| {log s} right\|^{gamma ^ star }$ . In some cases examples are constructed to show that the bounds are sharp.While preparing this paper, the author was partially supported by NSERC and by NSF on contract #DMS-8317815

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