Monthly Archives: March 2012

The convergence rate of SLLN in the case of non-i.i.d.

Title
The convergence rate of SLLN in the case of non-i.i.d.
(with A. Takemura)

Type
Talk at “Annual meeting of Mathematical Society of Japan” on 26-29 Mar 2012.

Abstract
Japanese abstract

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Slides

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At which points are functions differentiable?

Title
At which points are functions differentiable?

Type
Talk at “Annual meeting of Mathematical Society of Japan” on 26-29 Mar 2012.

Abstract
Japanese abstract

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Slides

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Why the event with probability 0 happen

Title
Why the event with probability 0 happen

Type
Young-RICE: Young-Researchers for Improvements of College Education
20 Mar 2012

Abstract
Go to the Japanese page to see the abstract in Japanese.

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Japanese slide (3.1MB)

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Weak L^1-computability and Limit L^1-computability

The result in this paper was included in L1-computability, layerwise computability and Solovay reducibility

News
Mar 12, 2012, Draft

Title
Weak L^1-computability and Limit L^1-computability

Type
Extended abstract

Journal
in preparation

Abstract
The class of the differences between two integral tests for Schnorr ran- domness is an important class related to Schnorr randomness. In this paper we study other randomness versions. We also claim that Solovay reducibility for lower semicomputable functions generalizes layerwise com- putability.

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in preparation

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