研究室紹介

Mathematical Modeling

We employ mathematics, statistics, simulation, and AI to investigate many nonequilibrium systems in the world.

Research Interests

1. Swarm Behavior
2. Forest Ecosystem
3. Predator-Prey Models
4. Stochastic Evolution Equations
5. Weather Forecasting
6. Stock Market

Noise is an inevitable aspect of the real world, exerting its influence on nearly all phenomena in our lives. In certain instances, understanding the cause behind events, such as Brownian motions, becomes impossible without the presence of noise. Indeed, noise permeates every realm of science and technology, proving instrumental in solving significant problems. In mathematics, noise, particularly white noise, plays a crucial role in the study of nonequilibrium systems.

Our research has delved into the impact of noise on various biological systems. We have observed that the local rules utilized to formulate biological models appear to be robust or structurally stable. However, these local rules possess limitations or perhaps fragility. In the presence of sufficiently large noise, structural stability is compromised.

Keyword of Research Area