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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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      Closed geodesics on surfaces
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      Representations and degenerations
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      The Robinson–Schensted algorithm
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      The Mathematics of Fluids and Solids
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      Formation Control and Rigidity Theory
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      Random permutations
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      Diophantine equations and why they are hard
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      Mixed volumes and mixed integrals
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      Tropical geometry
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      Topological recursion
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      Quantum diffusion
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      Friezes and tilings
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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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