Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156663 | Stochastic Processes and their Applications | 2012 | 38 Pages |
Abstract
We define and prove existence of fractional P(ϕ)1P(ϕ)1-processes as random processes generated by fractional Schrödinger semigroups with Kato-decomposable potentials. Also, we show that the measure of such a process is a Gibbs measure with respect to the same potential. We give conditions of its uniqueness and characterize its support relating this with intrinsic ultracontractivity properties of the semigroup and the fall-off of the ground state. To achieve that we establish and analyse these properties first.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Kamil Kaleta, József Lőrinczi,