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Loops, matchings and alternating-sign matrices - MaRDI portal

Loops, matchings and alternating-sign matrices (Q2566291)

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scientific article

Language	Label	Description	Also known as
English	Loops, matchings and alternating-sign matrices	scientific article

Statements

scholarly article

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Loops, matchings and alternating-sign matrices (English)

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Discrete Mathematics

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publication date

22 September 2005

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full work available at URL

https://arxiv.org/abs/math/0211285

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zbMATH Keywords

Exact enumerations

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Fully packed loop model

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Temperley-Lieb algebra

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Critical behaviour of the fully packed loop model on the square lattice

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The quantum symmetric<i>XXZ</i>chain at Δ = -½, alternating-sign matrices and plane partitions

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THE ROTOR MODEL AND COMBINATORICS

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Enumeration of Lozenge tilings of hexagons with cut-off corners

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The XXZ spin chain at Δ=−1/2: Bethe roots, symmetric functions, and determinants

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The raise and peel model of a fluctuating interface

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Alternating-sign matrices and domino tilings. I

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Ground state of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter Delta = ½

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Finite size \(XXZ\) spin chain with anisotropy parameter \(\Delta=\frac 12\)

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Strange Evaluations of Hypergeometric Series

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Decision procedure for indefinite hypergeometric summation

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Determinant formula for the six-vertex model

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A polynomial invariant for knots via von Neumann algebras

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State models and the Jones polynomial

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Emptiness formation probability of the<i>XXZ</i>spin- Heisenberg chain at

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Calculation of norms of Bethe wave functions

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Advanced determinant calculus

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Symmetry classes of alternating-sign matrices under one roof

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Algebraic structure of translation-invariant spin-1/2<i>xxz</i>and<i>q</i>-Potts quantum chains

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On an algebraic approach to higher dimensional statistical mechanics

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Proof of the Macdonald conjecture

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Alternating sign matrices and descending plane partitions

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Exact expressions for correlations in the ground state of the dense O(1) loop model

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A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities

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Temperley Lieb stochastic processes

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Spin chains and combinatorics

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Combinatorial nature of the ground-state vector of the \(\mathrm{O}(1)\) loop model

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\(O(1)\) loop model with different boundary conditions and symmetry classes of alternating-sign matrices

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Spin chains and combinatorics: twisted boundary conditions

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The story of 1,2,7,42,429,7436,..

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The importance of being odd

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Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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Determinant formula for the six-vertex model with reflecting end

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A large dihedral symmetry of the set of alternating sign matrices

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A fast algorithm for proving terminating hypergeometric identities

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The method of creative telescoping

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Proof of the alternating sign matrix conjecture

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Proof of the refined alternating sign matrix conjecture

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On the counting of fully packed loop configurations: some new conjectures

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Identifiers

zbMATH Open document ID

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10.1016/j.disc.2003.11.060

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2566291

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