(日本語) 乱雑性とは何か

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$L^1$-computability and the computability of conditional probability

News
27 June 2013, the slides were uploaded.

Title
$L^1$-computability and the computability of conditional probability

Type
Talk in Analysis, Randomness and Applications 2013

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Slides

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MathJax test

Let $x$ be a real.
Then
\[x^2\ge 0.\]

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From randomness to prediction and probability

News
12 June 2013, the slides were uploaded.

Title
From randomness to prediction and probability

Type
Talk in a group seminar of Takemura-Masuda laboratory

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Slides

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The preordering related to uniform Schnorr randomness

News
15 May 2013, the slides were uploaded.

Title
The preordering related to uniform Schnorr randomness

Type
Talk in RPTC2013

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slide

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The law of the iterated logarithm in game-theoretic probability with quadratic and stronger hedges

News
19 Mar 2013, Accepted
25 Aug 2012, Submitted to a Journal

Title
The law of the iterated logarithm in game-theoretic probability with quadratic and stronger hedges
(with Akimichi Takemura)

Type
Fullpaper

Journal
Stochastic Processes and their Applications, 123, 3132-3152, 2013.

Abstract
We prove both the validity and the sharpness of the law of the iter- ated logarithm in game-theoretic probability with quadratic and stronger hedges.

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arXiv
preprint

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Uniform relativization and almost uniform relativization

News
13 May 2013, the slides were uploaded.

Title
Uniform relativization and almost uniform relativization

Type
Talk in ELC Seminar on Algorithmic Randomness

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slide
slide2
slide3

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The way to capture the notion of probability

News
24 Apr. 2013, the slides were uploaded.

Title
The way to capture the notion of probability

Type
Talk at seminar of Hasuo group

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slide

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The other history of probability theory

News
19 Mar 2013, the manuscript and the slides were uploaded.

Title
The other history of probability theory

Type
Mathematical Society of Japan
20-21 Mar 2013, Kyoto University

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予稿
スライド

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Van Lambalgen’s Theorem for uniform Kurtz randomness

News
19 Mar 2013, the manuscript and the slides were uploaded.

Title
Van Lambalgen’s Theorem for uniform Kurtz randomness

Type
Mathematical Society of Japan
20-21 Mar 2013, Kyoto University

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preliminary report
slides

Correction
The preliminary report contains an error. I pointed it out in the slides.

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