Izumi Okada

Izumi Okada is an Associate Professor at the Graduate School of Mathematical Sciences, Department of Mathematics, The University of Tokyo. His research focuses on fundamental properties of stochastic processes, particularly simple random walks on integer lattices and Brownian motion, using probability theory to analyze geometric structures of singularities in local time behavior.

Research Overview:

• Investigates hitting probability, intersection probability, and local times of random walks
• Specializes in geometric structures emerging from high local time values
• Works with both discrete (random walk) and continuous (Brownian motion) models

Recent Publications Trends:

• Focus on capacity theory and large deviations in random walk ranges
• Analysis of asymptotic geometric properties in 2D and 4D spaces
• Applications of law of iterated logarithm in stochastic analysis

Professional Affiliations:

• Member of The Mathematical Society of Japan