Swarming robots

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Analysis
Numerik und Wissenschaftliches Rechnen

Verbindung zu anderen Gebieten

Informatik
Ingenieurwissenschaft und Technik

Autor(en)

Magnus Egerstedt

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2016-001-EN

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snapshot-2016-001.pdf

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snapshots: overview

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Jewellery from tessellations of hyperbolic space
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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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David Kerr
C∗-algebras: structure and classification
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Vertex-to-Self Trajectories on the Platonic Solids
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The Interaction of Curvature and Topology
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The Mathematics of Fluids and Solids
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Formation Control and Rigidity Theory
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Mixed volumes and mixed integrals
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Computing with symmetries
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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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Computing the long term evolution of the solar system with geometric numerical integrators
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Computational Optimal Transport
Justyna Szpond
A few shades of interpolation
George Hagedorn, Caroline Lasser
Molecular quantum dynamics
Marco Radeschi
Closed geodesics on surfaces and Riemannian manifolds
Christian Engwer, Markus Knappitsch
Mathematische Modellierung von Krebswachstum
Michael Baake, David Damanik, Uwe Grimm
Aperiodic Order and Spectral Properties
Lukas Pottmeyer
News on quadratic polynomials
Felix Günther
Winkeltreue zahlt sich aus
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Towards a Mathematical Theory of Turbulence in Fluids
Laurent Bartholdi
Profinite groups
Dietmar Gallistl
The adaptive finite element method
Steven Klee
Footballs and donuts in four dimensions
Nikolai Nowaczyk
The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Swarming robots
Ulrich Krähmer
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J. Marron
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Modelling communication and movement: from cells to animals and humans
Tom Solomon
Chaos and chaotic fluid mixing
Thorsten Holm
Friezes and tilings
George Willis
Zero-dimensional symmetry
Christine Breiner
Minimizing energy
Diana Davis
Billiards and flat surfaces
Peter Benner, Hermann Mena, René Schneider
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Gregory Knese
Operator theory and the singular value decomposition
Alain Valette
The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
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Howell Tong
Statistics and dynamical phenomena
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Arrangements of lines
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What does ">" really mean?
Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
Dirichlet Series

Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
Biowissenschaft
Physik
Überlegungen zur Mathematik

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