宮部賢志（ミヤベケンシ）
News
29 Mar, 2019 The slide file was uploaded.
Title
Schnorr triviality via decidable machines
Type
Invited talk in CTFM2019
The 9th International Conference on Computability Theory and Foundations of Mathematics
March 21-27, 2019. Wuhan University of Technology, Wuhan, China.
25 Mar, 2019.
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slide
News
18 Mar, 2019 The slide file was uploaded.
Title
Muchnik degrees and Medvedev degrees of the randomness notions
Type
A talk in AMS
Spring Central and Western Joint Sectional Meeting @ University of Hawaii
Friday March 22, 2019, 3:00 p.m.-4:20 p.m.
Special Session on Computability, Complexity, and Learning, I
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Summary from AMS
Slide
News
18 Mar, 2019 The slide file was uploaded.
Title
Coherence between reducibility and randomness notions
Type
A talk in Mathematical Society of Japan
18 Mar, 2019@TITech
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Summary (Japanese)
Slide (Japanese)
News
18 Mar, 2019 The slide file was uploaded.
Title
The chance that the sun will rise tomorrow revisited
Type
A talk in SIG-AGI
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Summary (Japanese)
Slide (Japanese)
News
May 4, 2018. Accepted by AOP
Title
Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales: a game-theoretic approach
(with T. Sasai and A. Takemura)
Type
Full paper
Journal
Annals of Probability,
Annals of Probability, Vol. 47, No. 2, 1136-1161, March 2019.
Abstract
We prove an Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales. Our proof is given in the framework of the game-theoretic probability of Shafer and Vovk. As many other game-theoretic proofs, our proof is self-contained and explicit.
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arXiv