Fractional P(phi)(1)-processes and Gibbs measures
Kamil Kaleta
Jozsef Lorinczi
2134/21396
https://repository.lboro.ac.uk/articles/journal_contribution/Fractional_P_phi_1_-processes_and_Gibbs_measures/9389087
We define and prove existence of fractional
P(phi)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 analyze these properties first.
2016-05-27 13:05:19
Symmetric stable process
Fractional Schrodinger operator
Intrinsic ultracontractivity
Decay of ground state
Gibbs measure
Statistics
Mathematical Sciences not elsewhere classified