If the irrigated measure is locally Ahlfors regular, its dimension is at most 8/5.
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A new anisotropic branched optimal transport model based on currents is introduced, with existence of minimizers proven in 2D and under a hypermetric condition in higher dimensions.
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Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
If the irrigated measure is locally Ahlfors regular, its dimension is at most 8/5.
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A model of anisotropic branched optimal transport
A new anisotropic branched optimal transport model based on currents is introduced, with existence of minimizers proven in 2D and under a hypermetric condition in higher dimensions.