HASEBE, Takahiro
 Position
 Associate Professor
 Organization
 Department of Mathematics
 Research Interest
 Free probability
 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), 11601170.
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), 271291.
T. Hasebe and S. Thorbjornsen, Unimodality of the freely selfdecomposable probability laws, arXiv:1309:6776
 Keywords
 complex analysis, random matrix, Set partition
 WebPage
 http://www.math.sci.hokudai.ac.jp/~thasebe/