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Dirichlet problem and Green’s formulas on trees. (English) Zbl 1101.31011
The Dirichlet problem and the construction of superharmonic functions with point harmonic singularities are two of the basic problems in potential theory. The authors study these problems in the context of discrete potential theory, which leads to the consideration of Green’s formulas and flux on a Cartier tree.

MSC:
31C20 Discrete potential theory
31D05 Axiomatic potential theory
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