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Kenshi Miyabe

宮部賢志(ミヤベケンシ)

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Posted on March 1, 2010February 8, 2012

An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals

Title
An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals

Type
Talk

This talk in a workshop in Tokyo in Japan on Mar 1, 2010.
This talk is based on the paper An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals.

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slide
Attached slides are in Japanese.

Posted on January 19, 2010February 8, 2012

An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals

Title
An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals

Type
Talk

This talk is in my D.Sc. Defence at Kyoto in Japan on Jan 19, 2010.
This talk is based on the paper An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals.

Download
slide
Attached slides are in Japanese.

Posted on September 14, 2009February 8, 2012

Another relativization of Schnorr randomness and computably randomness

Title
Another relativization of Schnorr randomness and computably randomness

Type
Talk

This talk is in ALGI20 at Tottori in Japan on Sep 14, 2009
and is based on the paper Truth-table Schnorr randomness and truth-table reducibly randomness.

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slide
Attached slides are partially Japanese and almost English.

Posted on September 1, 2009February 8, 2012

An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals

Title
An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals

Type
Talk

This talk is in SLACS 2009 at Kyoto in Japan on Sep 1, 2009.
This talk is based on the paper An extension of van Lambalgen’s Theorem to infinitely many relative 1-random reals.

Download
Slides in Japanese

Posted on March 12, 2007January 16, 2011

Classification of Index Sets of Functions

Title
Classification of Index Sets of Functions

Type
Talk

This talk is in CSCAT 2007 at Kyoto in Japan on Mar 12, 2007.

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The website of Miyabe Lab contains information about teaching in Japanese.

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  • Rational sequences converging to left-c.e. reals of positive effective Hausdorff dimension
  • Subclasses of weakly computable reals
  • Generality of computable measures
  • The rate of convergence of computable predictions
  • The rate of convergence of computable predictions

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