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Download fileFractional P(phi)(1)-processes and Gibbs measures
journal contribution
posted on 2016-05-27, 13:05 authored by Kamil Kaleta, Jozsef LorincziWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
STOCHASTIC PROCESSES AND THEIR APPLICATIONSVolume
122Issue
10Pages
3580 - 3617 (38)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.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2012Notes
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.2012.06.001ISSN
0304-4149Publisher version
Language
- en