Lattice aggregations of boxes and symmetric functions

2023/12/05 by Natasha Rozhkovskaya, Rozhkovskaya, Natasha
Mathematics · #Combinatorics (math.CO) #Data Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Statistics and Probability (physics.data-an) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2312.03168

openalex publication_date 2023/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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