## Characterizing randomness by integral tests

Title
Characterizing randomness by integral tests

Type
Talk

This talk is in CiE 2011 at Sofia University on June 29, 2011.

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## Characterizing randomness by integral tests

Title
Characterizing randomness by integral tests

Type
Talk

This talk is in CS Seminar at Kyoto University on June 16, 2011.
The same talk will be given in CiE 2011.

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## A computable topological space of measures

The content of the paper will be merged into Algorithmic randomness over general spaces.

News
June 13, 2011, Rejected
Sep 21, 2010, Submitted to a Journal

Title
A computable topological space of measures

Type
Fullpaper

Journal
submitted

Japanese summary

Abstract
We show that the space of bounded non-negative Borel measures on
a computable topological space is also a computable topological space
with A-topology. Then we de ne computable measures which may not
be probabilistic and may be even in nite. We also study randomness for
non-negative Borel measures which may not be probabilistic.