


Tomoyuki Shirai | Last modified date:2020.12.03 |

Graduate School
Undergraduate School
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Homepage
https://kyushu-u.pure.elsevier.com/en/persons/tomoyuki-shirai
Reseacher Profiling Tool Kyushu University Pure
http://imi.kyushu-u.ac.jp/~shirai/
Academic Degree
Ph.D (mathematical science)
Country of degree conferring institution (Overseas)
No
Field of Specialization
probability theory
Total Priod of education and research career in the foreign country
01years00months
Outline Activities
It is known that the eigenvalues of a random matrix called Gaussian unitary ensemble have fermionic nature as a random point field. We abstract it and construct a class of random point fields called deteminantal point processes or fermion random fields. The representation of infinite dimensional symmetric group or the zeros of a certain random power series can be expressed as an example. I am now studying its further generalization. There are intimate connections between random walks on graphs, spectra of Laplacians on graphs and the geometric properties of graphs, which I am interested in and would like to clarify. Recently, I am also working on random topology.
Research
Research Interests
- Persistent homology of random simplicial complexes
keyword : Persistent homology, random simplicial complexes
2013.04. - Determinantal probability
keyword : determinantal point processes
2009.09~2013.09.
Books
1. | 白井 朋之, Finite Markov Chains and Markov Decision Processes, Springer Verlag, 5, 189--206, 2014.07. |
Papers
Presentations
Educational
Educational Activities
I teach probability theory for undergraduate and graduate students,
and applied probability and differential equations for engeering students.
I advise three doctor course students, two master course students and also three undergraduate student at their seminar.
Other Educational Activities
and applied probability and differential equations for engeering students.
I advise three doctor course students, two master course students and also three undergraduate student at their seminar.
- 2016.12.
- 2018.01.


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