Localization phenomena in random media

点击翻译按钮获取中文摘要

In this project, we first considered a diffusing particle which receives long-range repulsive interaction from randomly distributed obstacles and obtained very detailed description of the behavior. Next, jointly with Nobuo Yoshida of Kyoto University, we studied population growth models and for a quite general class of models, we showed that either the population grows exponentially or it goes extinct. Finally, jointly with Naoki Kubota of Nihon University, we proved large deviation principles for random walks in random environment with holding times.