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arXiv · 2312.03168

Lattice aggregations of boxes and symmetric functions

Natasha Rozhkovskaya
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Abstract

We introduce two lattice growth models: aggregation of $l$-dimensional boxes and aggregation of partitions with $l$ parts. We describe properties of the models: the parameter set of aggregations, the moments of the random variable of the number of growth directions, asymptotical behavior of proportions of the most frequent transitions of two- and three-dimensional self-aggregations.

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Natasha Rozhkovskaya. 2023-12-05. Lattice aggregations of boxes and symmetric functions. https://arxiv.org/abs/2312.03168

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