How does the random environment affect the system?
Yuki ChinoNCTS 10:00 a.m. – 11:30 a.m. 鴻經館M107Abstract
The disordered system has been studied broadly in biology, chemistry, physics and mathematics. In the study of the disordered system we consider stochastic processes (or dynamical system is also possible) in the random environments. We are mainly interested in how much and how the random environment affects the system.
In the beginning of this talk I will introduce one of the basic models: one-dimensional Random Walk in Random Environment (RWRE), which has rich of results. And then we compare another model of the disordered system: Self-Avoiding Walk in Random Conductors (SAWRC), which has different way of import the random environment. In the last part of my talk, I will introduce the application of RWRE called Random Walk in Cooling Random Environment (RWCRE), which has a time evolution in the environment and show some results we obtained.