## SAKAI Akira

Professor

### Challenge to the mystery of interacting many-body systems

Department of Mathematics, Mathematics

Theme | Rigorous analysis of phase transitions and critical behavior by using, e.g., the lace expansion; Evaluation of solutions to optimization problems by using the Ising model |

Field | Probability, Statistical mechanics, Mathematical physics |

Keyword | Phase transitions, Critical phenomena, Optimization problems, Interacting many-body systems, The Ising model and other spin systems, Random walk and self-avoiding walk, Percolation, The lace expansion |

#### Representative Achievements

L.-C. Chen, A. Sakai,

*Commun. Math. Phys.,*

**372**, 543–572 (2019).

A. Sakai, G. Slade,

*Electron. J. Probab.,*

**24**, no.65, 1–18 (2019).

A. Sakai,

*Commun. Math. Phys.,*

**336**, 619–648 (2015).

M. Heydenreich, R. van der Hofstad, A. Sakai,

*J. Stat. Phys.,*

**132**, 1001–1049 (2008).

A. Sakai,

*Commun. Math. Phys.,*

**272**, 283–344 (2007).

Affiliated academic society | The Mathematical Society of Japan |

Project | CREST ``Steering Toward Spatio-Temporal Computing Architecture Driven by Learning/Math-Scientific Models" JSPS KAKENHI ``Rigorous analysis for high-dimensional critical behavior and crossover phenomena in mathematical models" |

Room address | Science Bldg #3 3-513 |