Stochastic quantization of the two-dimensional polymer measure

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	Stochastic quantization of the two-dimensional polymer measure
	Albeverio, S ; Hu, YZ ; Rockner, M ; Zhou, XY
刊名	APPLIED MATHEMATICS AND OPTIMIZATION
	1999-11-01
卷号	40 期号:3 页码:341-354
关键词	two-dimensional polymer measure closability Dirichlet forms diffusion processes ergodicity quasi-invariance
英文摘要	We prove that there exists a diffusion process whose invariant measure is the two-dimensional polymer measure nu(g). The diffusion is constructed by means of the theory of Dirichlet forms on infinite-dimensional state spaces. We prove the closability of the appropriate pre-Dirichlet form which is of gradient type, using a general closability result by two of the authors. This result does not require an integration by parts formula (which does not hold for the two-dimensional polymer measure nu(g)) but requires the quasi-invariance of nu(g) along a basis of vectors in the classical Cameron-Martin space such that the Radon-Nikodym derivatives (have versions which) form a continuous process. We also show the Dirichlet form to be irreducible or equivalently that the diffusion process is ergodic under time translations.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	CLASSICAL DIRICHLET FORMS ; TOPOLOGICAL VECTOR-SPACES ; INTERSECTION LOCAL TIME ; PLANAR BROWNIAN-MOTION ; RIGGED HILBERT SPACES ; RENORMALIZATION ; ERGODICITY
收录类别	SCI
语种	英语
WOS记录号	WOS:000082292300004
公开日期	2015-12-01
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/8365]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany 2.Univ Kansas, Dept Math, Lawrence, KS 66045 USA 3.Acad Sinica, Inst Math Sci, Wuhan 430071, Peoples R China 4.Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany 5.Beijing Normal Univ, Inst Math, Beijing 100875, Peoples R China 6.Ruhr Univ Bochum, Inst Math, D-44780 Bochum, Germany
推荐引用方式 GB/T 7714	Albeverio, S,Hu, YZ,Rockner, M,et al. Stochastic quantization of the two-dimensional polymer measure[J]. APPLIED MATHEMATICS AND OPTIMIZATION,1999,40(3):341-354.
APA	Albeverio, S,Hu, YZ,Rockner, M,&Zhou, XY.(1999).Stochastic quantization of the two-dimensional polymer measure.APPLIED MATHEMATICS AND OPTIMIZATION,40(3),341-354.
MLA	Albeverio, S,et al."Stochastic quantization of the two-dimensional polymer measure".APPLIED MATHEMATICS AND OPTIMIZATION 40.3(1999):341-354.