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• W2056124635 abstract "We present and prove new characterizations of parabolicity and stochastic completeness for a general weighted manifold M as well as the uniqueness of the Markov extensions of the Laplacian in terms of Greenʼs formula. Moreover, we study the relationship between those properties and the singularity of M in terms of a fractal dimension and capacity. Nous présentons et prouvons de nouvelles caractérisations de parabolicité et de complétude stochastique pour une variété pondérée générale M ainsi que lʼunicité des extensions de Markov du laplacien en fonction de la formule de Green. En plus, nous étudions la relation entre ces propriétés et la singularité de M en fonction dʼune dimension fractale et de capacité." @default.
• W2056124635 created "2016-06-24" @default.
• W2056124635 creator A5015149241 @default.
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• W2056124635 date "2013-11-01" @default.
• W2056124635 modified "2023-10-07" @default.
• W2056124635 title "Parabolicity and stochastic completeness of manifolds in terms of the Green formula" @default.
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• W2056124635 doi "https://doi.org/10.1016/j.matpur.2013.01.015" @default.
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