Limit Shapes for Gibbs Ensembles of Partitions
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DOI: 10.1007/s10955-018-2117-7
Abstract: We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes.… read more here.
Keywords: limit shapes; shapes gibbs; ensembles partitions; gibbs ensembles ... See more keywords
The limit shapes of midpoint polygons in ℝ3
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DOI: 10.1142/s0218216519500627
Abstract: For a polygon in the [Formula: see text]-dimensional Euclidean space, we give two kinds of normalizations of its [Formula: see text]th midpoint polygon by a homothetic transformation and an affine transformation, respectively. As [Formula: see… read more here.
Keywords: shapes midpoint; midpoint polygons; formula see; see text ... See more keywords