Asymptotic of the Heat Kernel in General Benedicks Domains

Details Asymptotic of the Heat Kernel in General Benedicks Domains Asymptotic of the Heat Kernel in General Benedicks Domains

2002-03-07

arxiv.org/abs/math/0203068v1

Mathematics

Probability

14 pages

Scientific paper

Using a new inequality relating the heat kernel and the probability of survival, we prove asymptotic ratio limit theorems for the heat kernel (and survival probability) in general Benedicks domains. In particular, the dimension of the cone of positive harmonic measures with Dirichlet boundary condition can be derived from the rate of convergence to zero of the heat kernel (or the survival probability).

Affiliated with

Also associated with

No associations

Rating

Asymptotic of the Heat Kernel in General Benedicks Domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic of the Heat Kernel in General Benedicks Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic of the Heat Kernel in General Benedicks Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583512