Dimension doubling theorem
id:
dimension-doubling-theorem-262-4220211
title:
Dimension doubling theorem
text:
In probability theory, the dimension doubling theorems are two results about the Hausdorff dimension of an image of a Brownian motion. In their core both statements say, that the dimension of a set A under a Brownian motion doubles almost surely. The first result is due to Henry P. McKean jr and hence called McKean's theorem (1955). The second theorem is a refinement of McKean's result and called Kaufman's theorem (1969) since it was proven by Robert Kaufman.
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Dimension_doubling_theorem
date created:
date modified:
2024-04-16T03:11:31Z
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13
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