| khayashi(@math.sci.osaka-u.ac.jp) | |
| Research |
Probability theory |
| Keywords | Hydrodynamic limit, Kardar-Parisi-Zhang universality, Stochastic partial differential equation |
| URL | https://sites.google.com/view/koheihayashi/english |
My research field is probability theory. Specifically, motivated from statistical physics, I am interested in explaining macroscopic phenomena, which are particularly described by partial differential equations, from microscopic systems with randomness, called “large-scale interacting systems. The classical central limit theorem asserts that, through some limiting procedure, the normal distribution can be derived from a wide class of random variables, for example, from a sequence of independent identically distributed random variables. Such universality is a significant research topic in probability theory. On the other hand, when considering limiting procedures on large-scale interacting systems, it is known that there exists a universality class with properties different from those of well-known objects such as the normal distribution. My research aims to mathematically clarify such universality classes and describe them in more details.
