Integrated density of states for Poisson-Schrodinger perturbations of subordinate Brownian motions on the Sierpinski gasket

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:125

Article

Kaleta, Kamil^1,2  Pietruska-Paluba, Katarzyna¹ 

[1] Univ Warsaw, Inst Math, PL-02097 Warsaw, Poland

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

关键词: Subordinate Brownian motion;    Sierpinski gasket;    Reflected process;    Random Feynman-Kac semigroup;    Schrodinger operator;    Random potential;    Kato class;    Eigenvalues;    Integrated density of states;   

DOI  :  10.1016/j.spa.2014.10.010

来源: Elsevier

【 摘 要 】

We prove the existence of the integrated density of states for subordinate Brownian motions in the presence of the Poissonian random potentials on the Sierpinski gasket. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free