Takashi Kumagai

• Visualization of Hydrogen-Bond Dynamics
• Heat kernel estimates and parabolic Harnack imequalities on graphs and resistance forms
• Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups
• Random Walks on Disordered Media and Their Scaling Limits
• Stability of Heat Kernel Estimates for Symmetric Non-Local Dirichlet Forms
• U.S.-Japan patent disputes