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I am interested in the Physics and Mathematics on Fluctuation Phenomena and enjoying study and research with my undergraduate students, graduate students, and postdoctoral fellows in my group.
I believe that we will have a unified understanding of the quantum fluctuations due to the Heisenberg uncertainty and the statistical and stochastic fluctuations studied in statistical mechanics and probability theory in near future.
We are studying infinite particle systems and infinite-dimensional stochastic processes related with random matrix theory, random fields associated with conformal field theory, integrable probability, non-commutative probability, and elliptic extensions in the field of mathematics. At the same time, we are interested in complex systems and studying epidemic models of spread of infections, directed percolation problems, traffic-current models, stochastic models of ecology, mathematical models of economy and sociology, where we perform computer simulations and apply the theory of phase transitions and critical phenomena in equilibrium and non-equilibrium statistical physics. The lists are long, but our aim is very simple; we wish to know the correlation functions and response functions precisely describing the Fluctuation Phenomena.
I hope that I can provide an active field for all members who can fully enjoy their study and research.
Makoto KATORI
News & Topics
News & Topics
Makoto Katori visited the Institute for Mathematical Sciences, National University of Singapore. Right after his talk at the workshop ``Conformal Field Theories: Randomness & Geometry’’ (18-29 May 2026), he met Dr. Suqi Pan, Journal Publishing Editor of World Scientific Publishing Co. and other two staffs. He enjoyed friendly communication with them very much. More details, see the news article of World Scientific Publishing (25 May 2026) which Dr. Pan kindly sent to MK [pdf file].
2025.11.11
Two papers reporting a part of the master thesis of Saori Morimoto (graduated in March 2025) were accepted for publication in International Journal of Mathematics for Industry, and in the KIAS Springer Series in Mathematics. She introduced a new type of nonnormal and defective matrix-valued dynamical systems and studied generalized eigenspaces and pseudospectra. In addition to mathematical theorems, many interesting conjectures are reported.
Professor Lu Wei (Texas Tech University, USA) will be invited as a visiting professor in Chuo University. He will stay in our group for three weeks in June and July. On Wednesday 25 June 2025, he will give introductory lectures on random matrix theory and its application to information theory for undergraduate and graduate students.
To our knowledge, this paper shows the first example of random marked point processes such that they become hyperuniform if and only if the marks to points are taken into account.
A part of the master thesis of Natsuko Hoshi (graduated in March 2022) will appear as an article in Contemporary Mathematics published by American Mathematical Society.
She has proved the elliptic extensions of the Chaundy and Bullard identity studied by Tom H. Koornwinder (Amsterdam) and Michael J. Schlosser (Vienna).
We will have special guests from abroad, Prof. Z. Mouayn, Prof. L. Wei, and Dr. Y. Huang. We will organize the three-day event from Thursday 11 July to Saturday 13 July. Please join us. You can see the event website from here.
The paper `Switching particle systems for foraging ants showing phase transitions in path selections’ by Ayana Ezoe, Saori Morimoto, Yuya Tanaka, Makoto Katori, and Hiraku Nishimori was accepted for publication in Physica A: Statistical Mechanics and its Applications. Contents link is available at ScienceDirect.
A. Ezoe, Y. Tanaka, and S. Morimoto attended the international conference (Random Interacting Systems, Scaling Limits, and Universality held at the Institute for Mathematical Science, National University of Singapore, and gave short talks in English.
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