Lace expansion for the Ising model A Sakai Communications in Mathematical Physics 272 (2), 283-344, 2007 | 62 | 2007 |

Mean-field behavior for long-and finite range Ising model, percolation and self-avoiding walk M Heydenreich, R van der Hofstad, A Sakai Journal of Statistical Physics 132 (6), 1001-1049, 2008 | 58 | 2008 |

Mean-field critical behavior for the contact process A Sakai Journal of Statistical Physics 104 (1), 111-143, 2001 | 47 | 2001 |

Gaussian scaling for the critical spread-out contact process above the upper critical dimension R van der Hofstad, A Sakai Electronic Journal of Probability 9, 710-769, 2004 | 31 | 2004 |

Critical behavior and the limit distribution for long-range oriented percolation. I LC Chen, A Sakai Probability theory and related fields 142 (1), 151-188, 2008 | 28 | 2008 |

Critical two-point functions for long-range statistical-mechanical models in high dimensions A Sakai, LC Chen The Annals of Probability 43 (2), 639-681, 2015 | 24 | 2015 |

Application of the lace expansion to the φ^4 model A Sakai Communications in Mathematical Physics 336 (2), 619-648, 2015 | 23 | 2015 |

Critical points for spread-out self-avoiding walk, percolation and the contact process above the upper critical dimensions R van der Hofstad, A Sakai Probability Theory and Related Fields 132 (3), 438-470, 2005 | 21 | 2005 |

Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation LC Chen, A Sakai The Annals of Probability 39 (2), 507-548, 2011 | 19 | 2011 |

Critical behavior and the limit distribution for long-range oriented percolation. II: Spatial correlation LC Chen, A Sakai Probability Theory and Related Fields 145 (3-4), 435-458, 2009 | 18 | 2009 |

Hyperscaling inequalities for the contact process and oriented percolation A Sakai Journal of Statistical Physics 106 (1-2), 201-211, 2002 | 17 | 2002 |

Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension: the higher-point functions R van der Hofstad, A Sakai Electronic Journal of Probability 15, 801-894, 2010 | 16 | 2010 |

Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension: the higher-point functions R van der Hofstad, A Sakai Electronic Journal of Probability 15, 801-894, 2010 | 15 | 2010 |

Senile reinforced random walks M Holmes, A Sakai Stochastic processes and their applications 117 (10), 1519-1539, 2007 | 12 | 2007 |

High-dimensional graphical networks of self-avoiding walks M Holmes, AA Járai, A Sakai, G Slade Canadian Journal of Mathematics 56 (1), 77-114, 2004 | 11 | 2004 |

Mean-field behavior for the survival probability and the percolation point-to-surface connectivity A Sakai Journal of Statistical Physics 117 (1-2), 111-130, 2004 | 9 | 2004 |

Co-ordinated regulations of mRNA synthesis and decay during cold acclimation in arabidopsis cells YC T. Arae, S. Isai, A. Sakai, K. Mineta, M. Yokota-Hirai, Y. Suzuki, S ... Plant & Cell Physiology 58 (6), 1090-1102, 2017 | 7 | 2017 |

The quenched critical point for self-avoiding walk on random conductors AS Yuki Chino Journal of Statistical Physics 163 (4), 754--764, 2016 | 5 | 2016 |

Mixing time and simulated annealing for the stochastic cellular automata BH Fukushima-Kimura, S Handa, K Kamakura, Y Kamijima, A Sakai arXiv preprint arXiv:2007.11287, 2020 | 4 | 2020 |

Applications of the lace expansion to statistical-mechanical models A Sakai Analysis and Stochastics of Growth Processes and Interface Models, 2008 | 4 | 2008 |