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Title: Fractional P(phi)(1)-processes and Gibbs measures
Authors: Kaleta, Kamil
Lorinczi, Jozsef
Keywords: Symmetric stable process
Fractional Schrodinger operator
Intrinsic ultracontractivity
Decay of ground state
Gibbs measure
Issue Date: 2012
Publisher: © Elsevier
Citation: KALETA, K. and LORINCZI, J., 2012. Fractional P(phi)(1)-processes and Gibbs measures. Stochastic Processes and their Applications, 122(10), pp. 3580-3617.
Abstract: 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.
Description: This paper was accepted for publication in the journal Stochastic Processes and their Applications and the definitive published version is available at http://dx.doi.org/10.1016/j.spa.2012.06.001
Version: Accepted for publication
DOI: 10.1016/j.spa.2012.06.001
URI: https://dspace.lboro.ac.uk/2134/21396
Publisher Link: http://dx.doi.org/10.1016/j.spa.2012.06.001
ISSN: 0304-4149
Appears in Collections:Published Articles (Maths)

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