Swarming robots

Instantáneas de la actualidad matemática desde 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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Área matemática

Análisis
Cálculo numérico y científico

Relaciones con otros campos

Informática
Ingeniería y Tecnología

Autor(es)

Magnus Egerstedt

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2016-001-EN

Descargar PDF

snapshot-2016-001.pdf

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snapshots: overview

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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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Patterns and waves in theory, experiment, and application
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Closed geodesics on surfaces
Kathrin Hellmuth, Christian Klingenberg
Route planning for bacteria
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Characterizations of intrinsic volumes on convex bodies and convex functions
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Saiteja Utpala, Nina Miolane
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Representations and degenerations
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Jewellery from tessellations of hyperbolic space
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The Robinson–Schensted algorithm
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Quantum symmetry
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Anna Haensch
Reflections on hyperbolic space
Isaac Goldbring
Ultrafilter methods in combinatorics
Gandalf Lechner
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Baptiste Rognerud
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Po-Ling Loh
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David Kerr
C∗-algebras: structure and classification
Sara Lamboglia, Martin Ulirsch
From the dollar game to the Riemann-Roch Theorem
Steven Rayan, Laura P. Schaposnik
Higgs bundles without geometry
Behrend Heeren, Martin Rumpf
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Joshua Zahl
Rotating needles, vibrating strings, and Fourier summation
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Quantum symmetry
Christian Berg
Determinacy versus indeterminacy
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Gianluca Finocchio
Random matrix theory: Dyson Brownian motion
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The Interaction of Curvature and Topology
barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber
The Mathematics of Fluids and Solids
Jake Fillman, Tom van den Boom
A surprising connection between quantum mechanics and shallow water waves
Daniel Zelazo, Shiyu Zhao
Formation Control and Rigidity Theory
Ana Khukhro
Expander graphs and where to find them
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Deep Learning and Inverse Problems
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Mixed-dimensional models for real-world applications
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Configuration spaces and braid groups
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Paulo Oliva
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Nonlinear Acoustics
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Random permutations
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Counting self-avoiding walks on the hexagonal lattice
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Algebra, matrices, and computers
Jonathan Rosenberg, David Wraith
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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Estimating the volume of a convex body
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Mixed volumes and mixed integrals
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Number theory in quantum computing
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Claus Hertling
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The codimension
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The mathematics of aquatic locomotion
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Tropical geometry
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Fast Solvers for Highly Oscillatory Problems
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Computing with symmetries
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Topological recursion
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The Algebraic Statistics of an Oberwolfach Workshop
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Solving quadratic equations in many variables
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Mathematics plays a key role in scientific computing
Mauricio Bustamante, Jan-Bernhard Kordaß
Spaces of Riemannian metrics
Shaula Fiorelli Vilmart, Gilles Vilmart
Computing the long term evolution of the solar system with geometric numerical integrators
Justin Solomon
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
Jacob Bedrossian
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
Lior Bary-Soroker
Prime Tuples in Function Fields
Rafael Guglielmetti, Matthieu Jacquemet
Polyhedra and commensurability
Manfred Deistler, Andreas Graef
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Robert Altmann, Jan Heiland
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Swarming robots
Ulrich Krähmer
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Domino tilings of the Aztec Diamond
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Quantum diffusion
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J. Marron
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Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin
Ideas of Newton-Okounkov bodies
Ben Schweizer
Darcy’s law and groundwater flow modelling
Raluca Eftimie
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
Drugs, herbicides, and numerical simulation
Gregory Knese
Operator theory and the singular value decomposition
Alain Valette
The Kadison-Singer problem
Ragnar-Olaf Buchweitz, Eleonore Faber
Swallowtail on the shore
Howell Tong
Statistics and dynamical phenomena
Brian Harbourne, Thomas Szemberg
Arrangements of lines
Bruce Reznick
What does ">" really mean?
Harald Helfgott
The ternary Goldbach Problem
Wolfgang Lerche
Matrixfaktorisierungen
John E. McCarthy
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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