Topological Complexity, Robotics and Social Choice

Oberwolfach'tan

Topological Complexity, Robotics and Social Choice

Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in terms of a particular space associated to the kind of motion to be planned. This is a burgeoning subject within the wider area of Applied Algebraic Topology. Surprisingly, the same mathematics gives insight into the question of creating social choice functions, which may be viewed as algorithms for making decisions by artificial intelligences.

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Matematiksel konular

Geometri ve Topoloji

Diğer alanlarla ilişkiler

Mühendislik ve Teknoloji
Beşeri ve Sosyal Bilimler

Yazar(lar)

Greg Lupton, John Oprea, José Gabriel Carrasquel Vera

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2018-005-EN

PDF indir

snapshots-2018-005.pdf

PDF

snapshots: overview

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The periodic tables of algebraic geometry
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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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C∗-algebras: structure and classification
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The Interaction of Curvature and Topology
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Topological Complexity, Robotics and Social Choice
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Closed geodesics on surfaces and Riemannian manifolds
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Dirichlet Series

Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Finans
Beşeri ve Sosyal Bilimler
Yaşam Bilimleri
Fizik
Matematik Üzerine Düşünceler

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