Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary
Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach: The Case With Boundary
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DOI：
10.24033/msmf.417
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发表时间：
2006-10
期刊：
影响因子：
--
通讯作者：
B. Helffer;F. Nier
中科院分区：
文献类型：
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作者：
B. Helffer;F. Nier
本文是Bovier-Eackhoff-Gayrard-Klein，Bovier-Gayrard-Klein和Helffer-Klein-Nier之前工作的延续。它涉及到半经典Witten Laplace算子的指数小本征值的分析。在这里，我们考虑具有边界的黎曼流形的情形，该流形具有Witten Laplace算子的Dirichlet实现。本预印本的修订版已发表在《SMF备忘录》第105卷，(2006年)
This article is a continuation of previous works by Bovier-Eckhoff-Gayrard-Klein, Bovier-Gayrard-Klein and Helffer-Klein-Nier. It is concerned with the analysis of the exponentially small eigenvalues of a semiclassical Witten Laplacian. We consider here the case of riemanian manifolds with boundary with a Dirichlet realization of the Witten Laplacian. A modified version of this preprint has been published in Memoires de la SMF vol. 105, (2006)