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Results tagged with measure-theory
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user 32036
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
3
votes
Accepted
Winning sets of full measure (Schmidt's game)
I'm not sure if you're more interested in general conditions for this or an example with a simple proof. I can give a simple example and explanation. Let $S$ be the set of numbers normal in base $b$ …
- 429
4
votes
How to generalize normal number theorem
I can give a partial answer to your second question. Partial because a good amount of work has been done on this, but I think there is little chance that this questions will ever be fully answered. …
- 429
4
votes
0
answers
172
views
Possible Hausdorff dimension of intersection of Besicovitch-Eggleston like sets
Let $b \geq 2$ be an integer and suppose that $v=(p_0,\cdots,p_{b-1})$ be a probability vector. Let $S_{b,v}$ be the set of real numbers whose $b$-ary expansion has the digit $k$ with relative frequen …
- 429
5
votes
1
answer
193
views
Is there a survey of recent work relating to the Hausdorff dimension of sets defined through...
I am familiar with the work of Helmut Cajar, but his book is thirty years old and it's clear that there has been substantial progress since then. I have been spending a lot of time looking through ma …
- 429