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• W3100162844 abstract "We consider staircase polygons, counted by perimeter and sums of k-th powers of their diagonal lengths, k being a positive integer. We derive limit distributions for these parameters in the limit of large perimeter and compare the results to Monte-Carlo simulations of self-avoiding polygons. We also analyse staircase polygons, counted by width and sums of powers of their column heights, and we apply our methods to related models of directed walks." @default.
• W3100162844 created "2020-11-23" @default.
• W3100162844 creator A5012007444 @default.
• W3100162844 date "2006-06-01" @default.
• W3100162844 modified "2023-09-23" @default.
• W3100162844 title "Staircase polygons: moments of diagonal lengths and column heights" @default.
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• W3100162844 doi "https://doi.org/10.1088/1742-6596/42/1/022" @default.
• W3100162844 hasPublicationYear "2006" @default.
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