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Lozenge tilings with gaps in a \(90\degree\) wedge domain with mixed boundary conditions - MaRDI portal

Lozenge tilings with gaps in a \(90\degree\) wedge domain with mixed boundary conditions (Q2258009)

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Lozenge tilings with gaps in a \(90\degree\) wedge domain with mixed boundary conditions
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    Lozenge tilings with gaps in a \(90\degree\) wedge domain with mixed boundary conditions (English)
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    2 March 2015
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    The author considers a triangular gap of side two in a \(90^\circ\) angle on the triangular lattice with mixed boundary conditions: a constrained, zig-zag boundary along one side and a free lattice line boundary along the other, and determines the asymptotics of the correlation of the gap as it recedes along an arbitrary ray through the vertex of the angle.
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    Lozenge tilings
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    triangular gap
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    zig-zag boundary
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