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Voronoi Cells: Or How to Find the Nearest Bakery

Instantáneas de la actualidad matemática desde Oberwolfach

Voronoi Cells: Or How to Find the Nearest Bakery

Deciding which mall, hospital or school is closest to us is a problem we face everyday. It even comes on holidays with us, when we optimize our plans to make sure that we have enough time to visit all the attractions we want to see. In this article, we show how concepts from metric algebraic geometry help us to rise to this task while planning a weekend trip to the Black Forest.

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Área matemática

Álgebra y Teoría de números
Geometría y Topología

Relaciones con otros campos

Informática
Ingeniería y Tecnología

Autor(es)

Sarah Hess, Angélica Torres, Mirte van der Eyden

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2024-003-EN

Descargar PDF

snapshot-2024-003.pdf

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snapshots: overview

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      Truncated fusion rules for supergroups
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      Uncertainty as an ingredient in financial modeling
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      Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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      Algebras and quantum games
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      Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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      The periodic tables of algebraic geometry
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      Closed geodesics on surfaces
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      Characterizations of intrinsic volumes on convex bodies and convex functions
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      Lagrangian mean curvature flow
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      Finite geometries: pure mathematics close to applications
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      Quantum symmetry
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      Vertex-to-Self Trajectories on the Platonic Solids
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      From Betti numbers to l2-Betti numbers
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      The Interaction of Curvature and Topology
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      Configuration spaces and braid groups
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      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      Mixed volumes and mixed integrals
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      Geometry behind one of the Painlevé III differential equations
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      The codimension
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      Tropical geometry
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      Topological Complexity, Robotics and Social Choice
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      Prony’s method: an old trick for new problems
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
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      Solving quadratic equations in many variables
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      Mathematics plays a key role in scientific computing
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      Spaces of Riemannian metrics
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      Computational Optimal Transport
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      A few shades of interpolation
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      Molecular quantum dynamics
      Marco Radeschi
      Closed geodesics on surfaces and Riemannian manifolds
      Christian Engwer, Markus Knappitsch
      Mathematische Modellierung von Krebswachstum
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      Aperiodic Order and Spectral Properties
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      Towards a Mathematical Theory of Turbulence in Fluids
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      Profinite groups
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      The adaptive finite element method
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      Footballs and donuts in four dimensions
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      The Willmore Conjecture
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      Polyhedra and commensurability
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      Das Problem der Kugelpackung
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      On the containment problem
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      Random sampling of domino and lozenge tilings
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      Swarming robots
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      Domino tilings of the Aztec Diamond
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      Quantum diffusion
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      Dirichlet Series

      Área matemática

      Álgebra y Teoría de números
      Análisis
      Didáctica y Educación
      Matemática discreta y Fundamentos
      Geometría y Topología
      Cálculo numérico y científico
      Teoría de la probabilidad y Estadística

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      Informática
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