Mosco Type Convergence of Bilinear Forms and Weak Convergence of $n$-Particle Systems

作者: Jörg-Uwe Löbus

DOI:

关键词: Compact spaceConvergence (routing)Bilinear formOrder (group theory)Weak convergenceType (model theory)MathematicsStochastic processApplied mathematicsParticle system

摘要: It is well known that Mosco (type) convergence a tool in order to verify weak of finite dimensional distributions sequences stochastic processes. In the present paper we are concerned with concept type for non-symmetric processes and, particular, $n$-particle systems establish relative compactness.

参考文章(14)
Michael Hinz, Approximation of jump processes on fractals Osaka Journal of Mathematics. ,vol. 46, pp. 141- 171 ,(2009) , 10.18910/7496
U. Mosco, Composite Media and Asymptotic Dirichlet Forms Journal of Functional Analysis. ,vol. 123, pp. 368- 421 ,(1994) , 10.1006/JFAN.1994.1093
Kazuhiro Kuwae, Takashi Shioya, Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry Communications in Analysis and Geometry. ,vol. 11, pp. 599- 673 ,(2003) , 10.4310/CAG.2003.V11.N4.A1
Alexander V. Kolesnikov, Convergence of Dirichlet forms with changing speed measures on $\R^d$ Forum Mathematicum. ,vol. 17, pp. 225- 259 ,(2005) , 10.1515/FORM.2005.17.2.225
Jörg-Uwe Löbus, A stationary Fleming–Viot type Brownian particle system Mathematische Zeitschrift. ,vol. 263, pp. 541- 581 ,(2009) , 10.1007/S00209-008-0430-6
O. V. Pugachev, On the closability and convergence of dirichlet forms Proceedings of the Steklov Institute of Mathematics. ,vol. 270, pp. 216- 221 ,(2010) , 10.1134/S0081543810030168