Convergence of random series and the rate of convergence of the strong law of large numbers in game-theoretic probability K Miyabe, A Takemura Stochastic Processes and their Applications 122 (1), 1-30, 2012 | 31 | 2012 |

L 1-computability, layerwise computability and Solovay reducibility K Miyabe Computability 2 (1), 15-29, 2013 | 29 | 2013 |

Using almost-everywhere theorems from analysis to study randomness K Miyabe, A Nies, J Zhang Bulletin of Symbolic Logic 22 (3), 305-331, 2016 | 28 | 2016 |

Truth‐table Schnorr randomness and truth‐table reducible randomness K Miyabe Mathematical Logic Quarterly 57 (3), 323-338, 2011 | 28 | 2011 |

Van Lambalgen's theorem for uniformly relative Schnorr and computable randomness K Miyabe, J Rute Proceedings of the 12th Asian Logic Conference, 251-270, 2013 | 24 | 2013 |

Characterization of Kurtz randomness by a differentiation theorem K Miyabe Theory of Computing Systems, 2011 | 19 | 2011 |

The law of the iterated logarithm in game-theoretic probability with quadratic and stronger hedges K Miyabe, A Takemura Stochastic Processes and their Applications 123 (8), 3132-3152, 2013 | 13 | 2013 |

Algorithmic randomness over general spaces K Miyabe | 9* | 2010 |

Schnorr triviality and its equivalent notions K Miyabe Theory of Computing Systems 56, 465-486, 2015 | 8 | 2015 |

Uniform kurtz randomness T Kihara, K Miyabe Journal of Logic and Computation 24 (4), 863-882, 2014 | 8 | 2014 |

Randomness and Solovay degrees K Miyabe, A Nies, F Stephan Journal of Logic and Analysis 10, 2018 | 7 | 2018 |

An extension of van Lambalgen's theorem to infinitely many relative 1-random reals K Miyabe | 7 | 2010 |

Reducibilities relating to schnorr randomness K Miyabe Theory of Computing Systems 58, 441-462, 2016 | 6 | 2016 |

Unified characterizations of lowness properties via Kolmogorov complexity T Kihara, K Miyabe Archive for Mathematical Logic 54 (3), 329-358, 2015 | 6 | 2015 |

An optimal superfarthingale and its convergence over a computable topological space K Miyabe Algorithmic Probability and Friends. Bayesian Prediction and Artificial …, 2013 | 5 | 2013 |

The difference between optimality and universality K Miyabe Logic Journal of the IGPL 20 (1), 222-234, 2012 | 5 | 2012 |

Muchnik degrees and Medvedev degrees of randomness notions K Miyabe Proceedings of the 14th and 15th Asian Logic Conferences, 108-128, 2019 | 4 | 2019 |

Solovay reducibility and continuity M Kumabe, K Miyabe, Y Mizusawa, T Suzuki Journal of Logic and Analysis 12, 2020 | 3 | 2020 |

Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales: a game-theoretic approach T Sasai, K Miyabe, A Takemura arXiv preprint arXiv:1504.06398, 2015 | 3 | 2015 |

Derandomization in game-theoretic probability K Miyabe, A Takemura Stochastic Processes and their Applications 125 (1), 39-59, 2015 | 3 | 2015 |