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- W4386722013 abstract "We explore how the asymptotic structure of a random $n$-term weak integer composition of $m$ evolves, as $m$ increases from zero. The primary focus is on establishing thresholds for the appearance and disappearance of substructures. These include the longest and shortest runs of zero terms or of nonzero terms, longest increasing runs, longest runs of equal terms, largest squares (runs of $k$ terms each equal to $k$), as well as a wide variety of other patterns. Of particular note is the dichotomy between the appearance and disappearance of exact consecutive patterns, with smaller patterns appearing before larger ones, whereas longer patterns disappear before shorter ones." @default.
- W4386722013 created "2023-09-14" @default.
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- W4386722013 date "2023-09-12" @default.
- W4386722013 modified "2023-09-30" @default.
- W4386722013 title "On the evolution of random integer compositions" @default.
- W4386722013 doi "https://doi.org/10.48550/arxiv.2309.06287" @default.
- W4386722013 hasPublicationYear "2023" @default.
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