A Class of L,vy Driven SDEs and their Explicit Invariant Measures

被引：19

作者：

Albeverio, Sergio ^{[1
,2
,3
]}

Di Persio, Luca ^{[4
]}

Mastrogiacomo, Elisa ^{[5
]}

Smii, Boubaker ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Univ Bonn, Dept Appl Math, HCM, BiBoS,IZKS, Bonn, Germany

[3] CERFIM, Locarno, Switzerland

[4] Univ Verona, Dept Comp Sci, Str Le Grazie 15, Verona, Italy

[5] Univ Milano Bicocca, Dipartimento Stat & Metodi Quantitat, Piazza Ateneo Nuovo 1, I-20126 Milan, Italy

来源：

POTENTIAL ANALYSIS | 2016年 / 45卷 / 02期

关键词：

Stochastic differential equations; Invariant measures; Ornstein-Uhlenbeck Levy processes; Ground state transformations; Dirichlet forms; STOCHASTIC DIFFERENTIAL-EQUATIONS; GENERALIZED MEHLER SEMIGROUPS; REACTION-DIFFUSION EQUATIONS; ASYMPTOTIC EXPANSIONS; LAPLACE APPROXIMATIONS; WELL-POSEDNESS; HEAT-EQUATION; SPDES DRIVEN; SMALL NOISE; SPACE;

D O I：

10.1007/s11118-016-9544-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a class of explicit invariant measures for stochastic differential equations driven by L,vy noise. We relate them to the corresponding Fokker Planck equation. In the symmetric case, we point out the relation with the theory of Dirichlet forms and generalized Schrodinger type operators.

引用

页码：229 / 259

页数：31