HASEBE Takahiro Associate Professor
Research Activities
Free probability was discovered in the context of operator algebras to study free groups. By regarding the generators of a free group (algebra) as “independent random variables”, a probabilistic structure appears. Thus free probability comes up. Later, applications to the eigenvalue distributions of random matrices were discovered, and then probabilistic research started to increase. Now free probability is a field that involves operator algebras, probability theory, combinatorics, complex analysis and representation theory. I am working in particular on the aspects combinatorics of set partitions and complex analysis.
Papers:
- T. Hasebe and H. Saigo, The monotone cumulants, Ann. Inst. Henri Poincare Probab. Stat. Vol. 47, No. 4 (2011), 1160-1170.
- O. Arizmendi, T. Hasebe and N. Sakuma, On the law of free subordinators, ALEA Lat. Amer. J. Probab. Math. Stat. Vol. 10, No. 2 (2013), 271-291.
- T. Hasebe and S. Thorbjornsen, Unimodality of the freely selfdecomposable probability laws, arXiv:1309:6776
contact
thasebe(at)math.sci.hokudai.ac.jp