On the Transport Dimension of Measures

DOI10.1137/090770205zbMath1203.49064arXiv0905.3837OpenAlexW2005783737MaRDI QIDQ3066248

Qinglan Xia, Anna Vershynina

Publication date: 10 January 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3837

zbMATH Keywords

optimal transport pathramified optimal transportationfractal dimension of measuresirrigation dimensiontransport dimension

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Variational problems in a geometric measure-theoretic setting (49Q20) Metric geometry (51F99) Nonstandard measure theory (28E05)

Related Items (7)

Ramified Optimal Transportation with Payoff on the Boundary ⋮ On landscape functions associated with transport paths ⋮ The exchange value embedded in a transport system ⋮ Boundary regularity of optimal transport paths ⋮ A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces ⋮ A mass reducing flow for real-valued flat chains with applications to transport networks ⋮ Ramified optimal transportation in geodesic metric spaces

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