Fractional P(φ)1-processes and Gibbs measures

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:122

Article

Kaleta, Kamil¹  Lorinczi, Jozsef² 

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

[2] Univ Loughborough, Sch Math, Loughborough LE11 3TU, Leics, England

关键词: Symmetric stable process;    Fractional Schrodinger operator;    Intrinsic ultracontractivity;    Decay of ground state;    Gibbs measure;   

DOI  :  10.1016/j.spa.2012.06.001

来源: Elsevier

【 摘 要 】

We define and prove existence of fractional P(phi)(1)-processes as random processes generated by fractional Schrodinger 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. (C) 2012 Elsevier B.V. All rights reserved.

【 授权许可】

Free