## 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

*Commun. Math. Phys.,*372 (2019): 543–572.

*Electron. J. Probab.,*24 (2019): no.65, 1–18.

*Commun. Math. Phys.,*

**2015**, 336, 619–648.

*J. Stat. Phys.,*

**2008**, 132, 1001–1049.

*Commun. Math. Phys.,*

**2007**, 272, 283–344.

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 |