Free Access
Issue |
ESAIM: COCV
Volume 18, Number 2, April-June 2012
|
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Page(s) | 343 - 359 | |
DOI | https://doi.org/10.1051/cocv/2010100 | |
Published online | 13 April 2011 |
- G. Bouchitté, C. Jimenez and M. Rajesh, Asymptotique d’un problème de positionnement optimal. C. R. Math. Acad. Sci. Paris 335 (2002) 853–858. [CrossRef] [MathSciNet] [Google Scholar]
- A. Brancolini, G. Buttazzo, F. Santambrogio and E. Stepanov, Long-term planning versus short-term planning in the asymptotical location problem. ESAIM : COCV 15 (2009) 509–524. [Google Scholar]
- T. Champion, L. De Pascale and P. Juutinen, The ∞-Wasserstein distance : local solutions and existence of optimal transport maps. SIAM J. Math. Anal. 40 (2008) 1–20. [Google Scholar]
- V. Dobrić and J.E. Yukich, Asymptotics for transportation cost in high dimensions. J. Theoret. Probab. 8 (1995) 97–118. [CrossRef] [MathSciNet] [Google Scholar]
- Q. Du and D. Wang, The optimal centroidal Voronoi tessellations and the Gersho’s conjecture in the three-dimensional space. Comput. Math. Appl. 49 (2005) 1355–1373. [CrossRef] [Google Scholar]
- Q. Du, V. Faber and M. Gunzburger, Centroidal Voronoi tessellations : applications and algorithms. SIAM Rev. 41 (1999) 637–676. [Google Scholar]
- K.J. Falconer, The geometry of fractal sets, Cambridge Tracts in Mathematics 85. Cambridge University Press (1986). [Google Scholar]
- L. Fejes Tóth, Sur la représentation d’une population infinie par un nombre fini d’éléments. Acta. Math. Acad. Sci. Hungar 10 (1959) 299–304. [CrossRef] [MathSciNet] [Google Scholar]
- L. Fejes Tóth, Lagerungen in der Ebene, auf der Kugel und im Raum, Die Grundlehren der mathematischen Wissenschaften, Band 65. Zweite verbesserte und erweiterte Auflage, Springer-Verlag (1972). [Google Scholar]
- S. Graf and H. Luschgy, Foundations of quantization for probability distributions, Lecture Notes in Mathematics 1730. Springer-Verlag (2000). [Google Scholar]
- J. Heinonen, Lectures on analysis on metric spaces. Universitext, Springer-Verlag (2001). [Google Scholar]
- J. Horowitz and R.L. Karandikar, Mean rates of convergence of empirical measures in the Wasserstein metric. J. Comput. Appl. Math. 55 (1994) 261–273. [CrossRef] [MathSciNet] [Google Scholar]
- J.E. Hutchinson, Fractals and self-similarity. Indiana Univ. Math. J. 30 (1981) 713–747. [CrossRef] [MathSciNet] [Google Scholar]
- F. Morgan and R. Bolton, Hexagonal economic regions solve the location problem. Amer. Math. Monthly 109 (2002) 165–172. [CrossRef] [MathSciNet] [Google Scholar]
- S.J.N. Mosconi and P. Tilli, Γ-convergence for the irrigation problem. J. Convex Anal. 12 (2005) 145–158. [Google Scholar]
- D.J. Newman, The hexagon theorem. IEEE Trans. Inform. Theory 28 (1982) 137–139. [CrossRef] [MathSciNet] [Google Scholar]
- C. Villani, Topics in optimal transportation, Graduate Studies in Mathematics 58. American Mathematical Society (2003). [Google Scholar]
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