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

被引：9

作者：

Kaleta, Kamil ^{[1
,2
]}

Pietruska-Paluba, Katarzyna ^{[1
]}

机构：

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

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

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2015年 / 125卷 / 04期

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; NESTED FRACTALS; LIFSCHITZ TAIL; WIENER SAUSAGE; HARNACK INEQUALITY; HYPERBOLIC SPACE; D-SETS; PRINCIPLE; OPERATORS; CARPET;

D O I：

10.1016/j.spa.2014.10.010

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：1244 / 1281

页数：38

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