4 papers
Yaglom limit for unimodal Lévy processes
Gavin Armstrong, Krzysztof Bogdan, Tomasz Grzywny +2
We prove universality of the Yaglom limit of Lipschitz cones among all unimodal Lévy processes sufficiently close to the isotropic -stable Lévy process.
Dimension of Images of Large Level Sets
Anthony G. O'Farrell, Gavin Armstrong
Let be a natural number. We consider -times continuously-differentiable real-valued functions , where is some interval on the line having positive leng…
On the trace of unimodal Lévy processes on Lipschitz domains
Gavin Armstrong
We show that the second term in the asymptotic expansion as t approaches 0 of the trace of the Dirichlet heat kernel on Lipschitz domains for unimodal Lévy processes, satisfying so…
A pathological construction for real functions with large collections of level sets
Gavin Armstrong
Consider all the level sets of a real function. We can group these level sets according to their Hausdorff dimensions. We show that the Hausdorff dimension of the collection of all…