SYMBOLIC REPRESENTATIONS OF NONEXPANSIVE GROUP AUTOMORPHISMS ELON LINDENSTRAUSS AND KLAUS SCHMIDT Abstract. If α is an irreducible nonexpansive ergodic automorphism of a compact abelian group X (such as an irreducible n

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VOLUME 84, NUMBER 5 PHYSICAL REVIEW LETTERS 31 JANUARY 2000

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• Self-organized criticality
• Avalanche
• Bak–Tang–Wiesenfeld sandpile
• Scale invariance
• Granular material
• Power law
• The Avalanches
• Abelian sandpile model
• Extremal optimization
• Physics
• Self-organization
• Critical phenomena

PHYSICAL REVIEW B 87, One-dimensional itinerant interacting non-Abelian anyons Didier Poilblanc,1,* Adrian Feiguin,2 Matthias Troyer,3 Eddy Ardonne,4,5 and Parsa Bonderson6 1

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Degeneracy of non-Abelian quantum Hall states on the torus: domain walls and conformal field theory

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• Surfaces
• Torus
• Fractional quantum Hall effect
• Degenerate energy levels
• Physics
• Condensed matter physics
• Quantum phases

Non-abelian statistics in the interference noise of the Moore--Read quantum Hall state

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• Physics
• Topological order
• Topological quantum computer

arXiv:submitmath.AG] 19 FebAbsolute algebra and Segal’s Gamma sets Alain Connes and Caterina Consani Abstract We show that the basic categorical concept of an s-algebra as derived from the theory

Source URL: www.alainconnes.org

• Functor
• Adjoint functors
• Sheaf
• Initial and terminal objects
• Valuation
• Category of abelian groups
• Grothendieck topology
• Coproduct
• Tensor product
• Abstract algebra
• Algebra
• Category theory

FOLIATIONS, C ∗ -ALGEBRAS AND INDEX THEORY EXAM EXERCICES Exercise 1. Let {An , τn , δin , σin , i ∈ {0, 1, ..., n}, n ∈ N} be a cyclic object in an abelian category. Check that rows of the cyclic bicomplex (*)

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Mathieu Duckerts-Antoine Universit´e catholique de Louvain Fundamental groups in E-semi-abelian categories In [1], Hopf formulae for the integral homology of a group were given using topological methods. G. Janelidze fi

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Construction of the NSVZ scheme for Abelian supersymmetric theories, regularized by higher derivatives A. L. Kataeva∗, K. V. Stepanyantzb † a

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BRICS Basic Research in Computer Science BRICS RS-02-8 Cramer & Fehr: Optimal Black-Box Secret Sharing over Arbitrary Abelian Groups

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