Counting lattice chains and Delannoy paths in higher dimensions

Caughman, John S.; Dunn, Charles; Neudauer, Nancy Ann; Starr, Colin

doi:10.1016/j.disc.2011.04.024

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2024

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“…) with non-constant weights [12][13][14][15]. It would be interesting to investigate, if methods that are applied to study Delannoy numbers sequence and its analogues could be used to understand the properties of (5.3).…”

Section: Markov Chainmentioning

confidence: 99%

Lattice aggregations of boxes and symmetric functions

Rozhkovskaya

2024

J. Phys. A: Math. Theor.

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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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Section: Markov Chainmentioning

confidence: 99%

Lattice aggregations of boxes and symmetric functions

Rozhkovskaya

2024

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

Counting lattice chains and Delannoy paths in higher dimensions

Cited by 1 publication

References 13 publications

Lattice aggregations of boxes and symmetric functions

Lattice aggregations of boxes and symmetric functions

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