Some large polyominoe's perimeter: a stochastic analysis

zbMath1442.05014arXiv1808.00912MaRDI QIDQ5114839

Guy Louchard

Publication date: 26 June 2020

Full work available at URL: https://arxiv.org/abs/1808.00912

zbMATH Keywords

Markov propertyasymptotic Gaussian distributionconvergence to classical Brownian motionspolyominoes' perimeter

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Asymptotic enumeration (05A16) Polyominoes (05B50)

Cites Work

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• The perimeter of words
• Central and local limit theorems applied to asymptotic enumeration
• Distinctness of compositions of an integer: A probabilistic analysis
• Exactly Solved Models
• Probabilistic analysis of column-convex and directed diagonally-convex animals
• The perimeter of uniform and geometric words: a probabilistic analysis

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