skip to main content
Caltech

LA Probability Forum

Thursday, November 3, 2022
6:00pm to 7:00pm
Add to Cal
Capacity of the range of random walk
Izumi Okada, Mathematics, Kyushu University,

Talk held at UCLA in Math Sciences Room 6627

We study the capacity of the range of a simple random walk in three and higher dimensions. It is known that the order of the capacity of the random walk range in n dimensions is similar to that of the volume of the random walk range in n-2 dimensions. We show that this correspondence breaks down for the law of the iterated logarithm for the capacity of the random walk range in three dimensions. We also prove the law of the iterated logarithm in higher dimensions. This is joint work with Amir Dembo.

For more information, please contact Math Dept by phone at 626-395-4335 or by email at [email protected].