Challenge to the mystery of interacting many-body systems
Department of Mathematics, Mathematics
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|
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).
Commun. Math. Phys., 336, 619–648 (2015).
M. Heydenreich, R. van der Hofstad, A. Sakai,
J. Stat. Phys., 132, 1001–1049 (2008).
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|