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SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY

  • Published:2016-09-23 Issue:1 Volume:63 Page:124-183
  • ISSN:0025-5793
  • Container-title:Mathematika
  • language:en
  • Short-container-title:Mathematika

Author:

Fillastre François1,Izmestiev Ivan2

Affiliation:

1. Departement of MathematicsUniversity of Cergy‐PontoiseUMR CNRS 8088F‐95000Cergy‐PontoiseFrance

2. Institut für Mathematik, Freie Universität BerlinArnimallee 2D‐14195BerlinGermany

Publisher

Wiley

Subject

General Mathematics

Reference46 articles.

1. On the theory of mixed volumes II;Alexandrov A. D.;Mat. Sb.,1937

2. Existence of a convex polyhedron and of a convex surface with a given metric;Alexandrov A. D.;Mat. Sb., N. Ser.,1942

3. (Classics of Soviet Mathematics 4);Alexandrov A. D.,1996

4. Polygones du plan et polyèdres hyperboliques;Bavard C.;Geom. Dedicata,1992

5. Constructions and complexity of secondary polytopes;Billera L. J.;Adv. Math.,1990

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1. Learning Polytopes with Fixed Facet Directions;SIAM Journal on Applied Algebra and Geometry;2023-06-05

2. $$L_p$$ Busemann–Petty centroid inequality in hyperbolic and spherical spaces;Archiv der Mathematik;2023-05-02

3. Minkowski summands of cubes;Bulletin of the London Mathematical Society;2022-03-30

4. Hyperbolic geometry of shapes of convex bodies;Groups, Geometry, and Dynamics;2022-03-16

5. Sublinear circuits and the constrained signomial nonnegativity problem;Mathematical Programming;2022-02-09
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