1. |
Yasuaki Hiraoka, Tomoyuki Shirai, Minimum spanning acycle and lifetime of persistent homology in the Linial–Meshulam process, *Random Structures and Algorithms*, 10.1002/rsa.20718, 51, 2, 315-340, 2017.09, This paper studies a higher dimensional generalization of Frieze's ζ(3) -limit theorem on the d-Linial–Meshulam process. First, we define spanning acycles as a higher dimensional analogue of spanning trees, and connect its minimum weight to persistent homology. Then, our main result shows that the expected weight of the minimum spanning acycle behaves in Θ (n^{d-1}).. |

2. |
Alexander Igorevich Bufetov, Tomoyuki Shirai, Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces, *Proceedings of the Japan Academy Series A: Mathematical Sciences*, 10.3792/pjaa.93.1, 93, 1, 1-5, 2017.01, In this note, we show that determinantal point processes on the real line corresponding to de Branges spaces of entire functions are rigid in the sense of Ghosh-Peres and, under certain additional assumptions, quasi-invariant under the group of diffeomorphisms of the line with compact support.. |

3. |
Tomoyuki Shirai, Evgeny Verbitskiy, Solvable and algebraic systems on infinite ladder , *Indagationes Mathematicae*, doi:10.1016/j.indag.2016.02.003, 2016.03. |

4. |
Tomoyuki Shirai, Trinh Khanh Duy, The mean spectral measures of random Jacobi matrices related Gaussian beta ensembles, *Electoric Communications of Probability*, 10.1214/ECP.v20-4252, 20, 68, 1-13, 2015.10. |

5. |
Tomoyuki Shirai, Hirofumi Osada, Absolute continuity and singularity of Palm measures of the Ginibre point process, *Probability Theory and Related Fields*, 10.1007/s00440-015-0644-6, 20, 68, 725-770, 2015.07. |

6. |
Tomoyuki Shirai, Ginibre-type point processes and their asymptotic behavior, *JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN*, 10.2969/jmsj/06720763, 67, 2, 763-787, 2015.04. |

7. |
Tomoyuki Shirai, Naoto Miyoshi, A cellular network model with Ginibre configurated base stations, *Advances in Applied Probability*, To appear, 2013.10. |

8. |
Tomoyuki Shirai, Sho Matsumoto, Correlation functions for zeros of a Gaussian power series and Pfaffians, *Electronic Journal of Probability*, 18, no. 49, 1-18, 2013.04. |

9. |
Tomoyuki Shirai, Limit theorem for random analytic functions and their zeros, *RIMS Kôkyûroku Bessatsu*, to appear, 2012.07. |

10. |
Takuya Ohwa, Yusuke Higuchi and Tomoyuki Shirai, Exact computation for the cover times of certain classes of trees, *Journal of Math-for-Industry*, 2, A, 93-98, 2010.04. |

11. |
Tomoyuki Shirai
, A remark on monotonicity for the Glauber dynamics on finite graphs, *Proceedings of Japan Academy*, 86, 33-37, 2010.01. |

12. |
Takuya Ohwa and Tomoyuki Shirai, Joint distribution of the cover time and the last visited point of finite Markov chains, *Kyushu Journal of Mathematics*, 62, 281--292, 2008.05. |

13. |
Tomoyuki Shirai, Yoichiro Takahashi, Random point fields associted with certain Fredholm determinants (II): fermion shifts and their ergodic properties, *Annals of probability*, Vol.31, 1533--1564, 2003.01. |

14. |
Tomoyuki Shirai, Yoichiro Takahashi, Random point fields associted with certain Fredholm determinants (I): fermion, Poisson and boson point processes, *Journal of Functional Analysis*, Vol. 205, 414--463, 2003.01. |

15. |
Tomoyuki Shirai, Motoko Kotani, Toshikazu Sunada, Asymptotic behavior of the transition probability of a random walk on an infinite graph, *Journal of Functional Analysis*, Vol.159, 664-689, 1998.01. |