Swarming robots

Instantanés de recherche mathématique à Oberwolfach

Swarming robots

When lots of robots come together to form shapes, spread in an area, or move in one direction, their motion has to be planned carefully. We discuss how mathematicians devise strategies to help swarms of robots behave like an experienced, coordinated team. 

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Sujet mathématique

Analyse
Calcul numérique et calcul scientifique

Liens avec d'autres domaines

Informatique
Ingénierie et technologie

Auteur(s)

Magnus Egerstedt

Licence

DOI

10.14760/SNAP-2016-001-EN

Télécharger PDF

snapshot-2016-001.pdf

PDF

snapshots: overview

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The periodic tables of algebraic geometry
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Patterns and waves in theory, experiment, and application
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A tale of three curves
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Representations and degenerations
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Jewellery from tessellations of hyperbolic space
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Finite geometries: pure mathematics close to applications
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Describing distance: from the plane to spectral triples
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Quantum symmetry
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The Enigma behind the Good–Turing formula
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Reflections on hyperbolic space
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Ultrafilter methods in combinatorics
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Invitation to quiver representation and Catalan combinatorics
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C∗-algebras: structure and classification
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From the dollar game to the Riemann-Roch Theorem
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Rotating needles, vibrating strings, and Fourier summation
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Determinacy versus indeterminacy
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Vertex-to-Self Trajectories on the Platonic Solids
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Random matrix theory: Dyson Brownian motion
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The Interaction of Curvature and Topology
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The Mathematics of Fluids and Solids
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Random permutations
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Algebra, matrices, and computers
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Positive Scalar Curvature and Applications
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Diophantine equations and why they are hard
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On radial basis functions
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Snake graphs, perfect matchings and continued fractions
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Estimating the volume of a convex body
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Mixed volumes and mixed integrals
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A short story on optimal transport and its many applications
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Topological recursion
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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
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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News on quadratic polynomials
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The adaptive finite element method
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Polyhedra and commensurability
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Swarming robots
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Zero-dimensional symmetry
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Billiards and flat surfaces
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Operator theory and the singular value decomposition
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Dirichlet Series

Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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