Electronic Resource
Springer
Journal of theoretical probability
11 (1998), S. 461-492
ISSN:
1572-9230
Keywords:
Brownian motion
;
Brownian sheet
;
convex hull for curves in ∝d
;
extended convex hulls
;
law of the iterated logarithm in Banach spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We prove limsup results for nonnegative functionals of convex sets determined by normalized Brownian paths in Banach spaces. This continues the interesting investigation of D. Khoshnevisan into this area, and relates to some classical unsolved isoperimetric problems for the convex hull of curves in ∝d. Section 4 contains the solution of a problem similar to these classical problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022640007525
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