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1

Derandomization in game-theoretic probability

Miyabe, Kenshi, Takemura, Akimichi

Journal:

Stochastic Processes and their Applications

Year:

2015

Language:

english

File:

PDF, 248 KB

english, 2015

2

USING ALMOST-EVERYWHERE THEOREMS FROM ANALYSIS TO STUDY RANDOMNESS

MIYABE, KENSHI, NIES, ANDRÉ, ZHANG, JING

Journal:

Bulletin of Symbolic Logic

Year:

2016

Language:

english

File:

PDF, 320 KB

english, 2016

3

Relation between the rate of convergence of strong law of large numbers and the rate of concentration of Bayesian prior in game-theoretic probability

Sato, Ryosuke, Miyabe, Kenshi, Takemura, Akimichi

Journal:

Stochastic Processes and their Applications

Year:

2017

Language:

english

File:

PDF, 343 KB

english, 2017

4

Erdős–Feller–Kolmogorov–Petrowsky law of the iterated logarithm for self-normalized martingales: A game-theoretic approach

Sasai, Takeyuki, Miyabe, Kenshi, Takemura, Akimichi

Journal:

The Annals of Probability

Year:

2019

Language:

english

File:

PDF, 245 KB

english, 2019

5

Truth-table Schnorr randomness and truth-table reducible randomness

Journal:

Mathematical Logic Quarterly

Year:

2011

Language:

english

File:

PDF, 172 KB

english, 2011

6

Convergence of random series and the rate of convergence of the strong law of large numbers in game-theoretic probability

Kenshi Miyabe, Akimichi Takemura

Journal:

Stochastic Processes and their Applications

Year:

2012

Language:

english

File:

PDF, 317 KB

english, 2012

7

Characterization of Kurtz Randomness by a Differentiation Theorem

Journal:

Theory of Computing Systems

Year:

2013

Language:

english

File:

PDF, 646 KB

english, 2013

8

Schnorr Triviality and Its Equivalent Notions

Journal:

Theory of Computing Systems

Year:

2015

Language:

english

File:

PDF, 706 KB

english, 2015

9

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

Miyabe, Kenshi, Takemura, Akimichi

Journal:

Stochastic Processes and their Applications

Year:

2013

Language:

english

File:

PDF, 230 KB

english, 2013

10

Errata

Journal:

Scandinavian Political Studies

Year:

1985

Language:

english

File:

PDF, 56 KB

english, 1985

11

Algorithmic randomness over general spaces

Journal:

Mathematical Logic Quarterly

Year:

2014

Language:

english

File:

PDF, 299 KB

english, 2014

12

Reducibilities Relating to Schnorr Randomness

Journal:

Theory of Computing Systems

Year:

2016

Language:

english

File:

PDF, 404 KB

english, 2016

13

Unified characterizations of lowness properties via Kolmogorov complexity

Kihara, Takayuki, Miyabe, Kenshi

Journal:

Archive for Mathematical Logic

Year:

2015

Language:

english

File:

PDF, 403 KB

english, 2015

14

An Extension of van Lambalgen's Theorem to Infinitely Many Relative 1-Random Reals

Journal:

Notre Dame Journal of Formal Logic

Year:

2010

Language:

english

File:

PDF, 209 KB

english, 2010

15

L1-Computability, Layerwise Computability and Solovay Reducibility

Journal:

Year:

2013

File:

PDF, 207 KB

2013

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