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Cited article:
Qinglan Xia
ESAIM: COCV, 13 2 (2007) 359-377
Published online: 2007-05-12
This article has been cited by the following article(s):
Ramified optimal transportation in geodesic metric spaces
Qinglan Xia
Advances in Calculus of Variations 4 (3) (2011)
DOI: 10.1515/acv.2011.002
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Ramified optimal transportation in geodesic metric spaces
Qinglan Xia
Advances in Calculus of Variations 4 (3) 277 (2011)
DOI: 10.1515/ACV.2011.002
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Boundary regularity of optimal transport paths
Qinglan Xia
Advances in Calculus of Variations 4 (2) 153 (2011)
DOI: 10.1515/ACV.2010.024
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Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science
Qinglan Xia, Carolyn Salafia and Simon Morgan
Springer Proceedings in Mathematics & Statistics, Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science 117 509 (2015)
DOI: 10.1007/978-3-319-12307-3_73
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On the Transport Dimension of Measures
Qinglan Xia and Anna Vershynina
SIAM Journal on Mathematical Analysis 41 (6) 2407 (2010)
DOI: 10.1137/090770205
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The Geodesic Problem in Quasimetric Spaces
Qinglan Xia
Journal of Geometric Analysis 19 (2) 452 (2009)
DOI: 10.1007/s12220-008-9065-4
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Distribution functions, extremal limits and optimal transport
M.R. Iacò, S. Thonhauser and R.F. Tichy
Indagationes Mathematicae 26 (5) 823 (2015)
DOI: 10.1016/j.indag.2015.05.003
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DIFFUSION-LIMITED AGGREGATION DRIVEN BY OPTIMAL TRANSPORTATION
QINGLAN XIA and DOUGLAS UNGER
Fractals 18 (02) 247 (2010)
DOI: 10.1142/S0218348X10004877
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Damage and Fluctuations Induce Loops in Optimal Transport Networks
Eleni Katifori, Gergely J. Szöllősi and Marcelo O. Magnasco
Physical Review Letters 104 (4) 048704 (2010)
DOI: 10.1103/PhysRevLett.104.048704
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Statistical topology of radial networks: a case study of tree leaves
Rak-Kyeong Seong, Carolyn M. Salafia and Dimitri D. Vvedensky
Philosophical Magazine 92 (1-3) 230 (2012)
DOI: 10.1080/14786435.2011.614965
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On landscape functions associated with transport paths
Qinglan Xia
Discrete and Continuous Dynamical Systems 34 (4) 1683 (2013)
DOI: 10.3934/dcds.2014.34.1683
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On the ramified optimal allocation problem
Qinglan Xia and Shaofeng Xu
Networks and Heterogeneous Media 8 (2) 591 (2013)
DOI: 10.3934/nhm.2013.8.591
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Boundary regularity of optimal transport paths
Qinglan Xia
Advances in Calculus of Variations 4 (2) (2011)
DOI: 10.1515/acv.2010.024
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An optimal irrigation network with infinitely many branching points
Andrea Marchese and Annalisa Massaccesi
ESAIM: Control, Optimisation and Calculus of Variations 22 (2) 543 (2016)
DOI: 10.1051/cocv/2015028
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Motivations, ideas and applications of ramified optimal transportation
Qinglan Xia
ESAIM: Mathematical Modelling and Numerical Analysis 49 (6) 1791 (2015)
DOI: 10.1051/m2an/2015028
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Free boundaries in optimal transport and Monge-Ampère obstacle problems
Luis Caffarelli and Robert McCann
Annals of Mathematics 171 (2) 673 (2010)
DOI: 10.4007/annals.2010.171.673
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The Exchange Value Embedded in a Transport System
Qinglan Xia and Shaofeng Xu
Applied Mathematics & Optimization 62 (2) 229 (2010)
DOI: 10.1007/s00245-010-9102-0
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Artificial Intelligence and Soft Computing
Michal Matuszak, Jacek Miękisz and Tomasz Schreiber
Lecture Notes in Computer Science, Artificial Intelligence and Soft Computing 7268 582 (2012)
DOI: 10.1007/978-3-642-29350-4_69
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Advances in Applied Mathematics, Modeling, and Computational Science
Rak-Kyeong Seong, Pascal Getreuer, Yingying Li, et al.
Fields Institute Communications, Advances in Applied Mathematics, Modeling, and Computational Science 66 187 (2013)
DOI: 10.1007/978-1-4614-5389-5_8
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