Brownian motion and transient groups
Varopoulos, Nicolas Th.
Annales de l'Institut Fourier, Tome 33 (1983), p. 241-261 / Harvested from Numdam
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Dans cet article, je considère M ˜→M un revêtement riemannien. Je démontre que l’existence de la fonction de Green sur M ˜ est équivalente au fait que G, le groupe de revêtement, est “transient" (à condition que M soit compacte).

In this paper I consider M ˜→M a covering of a Riemannian manifold M. I prove that Green’s function exists on M ˜ if any and only if the symmetric translation invariant random walks on the covering group G are transient (under the assumption that M is compact).

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     author = {Varopoulos, Nicolas Th.},
     title = {Brownian motion and transient groups},
     journal = {Annales de l'Institut Fourier},
     volume = {33},
     year = {1983},
     pages = {241-261},
     doi = {10.5802/aif.926},
     mrnumber = {84i:58130},
     zbl = {0498.60012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1983__33_2_241_0}
}

Varopoulos, Nicolas Th. Brownian motion and transient groups. Annales de l'Institut Fourier, Tome 33 (1983) pp. 241-261. doi : 10.5802/aif.926. http://gdmltest.u-ga.fr/item/AIF_1983__33_2_241_0/

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