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Article Dans Une Revue Electronic Communications in Probability Année : 2017

Remarks on spectral gaps on the Riemannian path space

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Résumé

In this paper, we will give some remarks on links between the spectral gap of the Ornstein-Uhlenbeck operator on the Riemannian path space with lower and upper bounds of the Ricci curvature on the base manifold; this work was motivated by a recent work of A. Naber on the characterization of the bound of the Ricci curvature by analysis of path spaces.

Dates et versions

hal-01557781 , version 1 (06-07-2017)

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Shizan Fang, Bo Wu. Remarks on spectral gaps on the Riemannian path space. Electronic Communications in Probability, 2017, 22, pp.19. ⟨10.1214/17-ECP51⟩. ⟨hal-01557781⟩
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