Richard C (2006)
Publication Type: Journal article
Publication year: 2006
Book Volume: 42
Pages Range: 239-257
DOI: 10.1088/1742-6596/42/1/022
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.
APA:
Richard, C. (2006). Staircase polygons: moments of diagonal lengths and column heights. Journal of Physics: Conference Series, 42, 239-257. https://dx.doi.org/10.1088/1742-6596/42/1/022
MLA:
Richard, Christoph. "Staircase polygons: moments of diagonal lengths and column heights." Journal of Physics: Conference Series 42 (2006): 239-257.
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