Edouard Oudet

Adresse Lama, Université de Savoie
Campus scientifique
73376 Le Bourget du lac Cedex
Bureau 101
Téléphone +33 (0)4 79 75 87 65
Télécopie +33 (0)4 79 75 81 42
Email edouard.oudet(a)univ-savoie.fr

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    Optimal branched transport problem of the next four slides

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    Approximation of the optimal vectorial measure for α = 0.6

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    Support of the optimal vectorial measure for α = 0.6

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    Approximation of the optimal vectorial measure for α = 0.95

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    Support of the optimal vectorial measure for α = 0.95

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    Eigenmodes and related tillings

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    Best known (singular !) profile for Newton's problem (height = 0.7)

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    Best known (singular !) profile for Newton's problem (height = 0.4)

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    Periodic Kelvin's problem with 16 cells

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    Periodic Kelvin's problem with 19 cells

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    Periodic Kelvin's problem with 8 cells

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    A local minimizer of the surface among constant width bodies

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    Illustration of a raising dimension process for constant width bodies in 3D. Initial 2D shape. See the result on the next slide

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    A 3D constant width body obtained by a raising dimension process

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    Irrigation problem of the next four slides

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    Optimal branched transport for α = 0.6

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    Optimal branched transport for α = 0.75

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    Optimal branched transport for α = 0.85

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    Optimal branched transport for α = 0.95

    Illustrations/Slideshow/im10.png

    Optimal cutting of an hexagonal prism in 6 pieces

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    Optimal cutting of a rhombic dodecahedron in 8 pieces

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    Vlasov simulation of beams with a moving grid

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    Optimal cutting of a triangle in 32 pieces by Γ-convergence

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    Optimal cutting of a disk in 32 pieces by Γ-convergence

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