Faculty Members KAWASAKI Shuji
Fields of Research
- Probability of nonequilibrium system (complex networks, stable distributions, phase transitions)
- Mathematical modeling of phenomena (dynamical systems like chaos, limit cycle, etc.)
- Applied mathematics
Probabilistic analysis and mathematical modeling, theoretical and numerical
Studies asymptotic characteristics of complex networks, especially in the neighborhood of phase transition. Present interest is mainly in generalizing the evaluation of n2/3-rule for maximal cluster size.
Also, fundamental problems in the stable distribution theory are concerned. Examples are norm evaluation for Poissonian series approximation of stable distributions with almost sure convergence, characterization of solutions to fractional diffusion equations, etc.
The autonomy and qualities of theoretical and applicable calculation simulations. Logical discussions and presentations, communication ability. Understanding the bigger picture and developing the sense to balance what needs to be done. I would like to help students develop these skills.