Cantarella, Jason; Schumacher, Henrik; Shonkwiler, Clayton A faster direct sampling algorithm for equilateral closed polygons and the probability of knotting. (English) Zbl 07881350 J. Phys. A, Math. Theor. 57, No. 28, Article ID 285205, 11 p. (2024). Reviewer: Claus Ernst (Bowling Green) MSC: 57K10 82B41 82D60 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Xiong, A.; Taylor, A. J.; Dennis, M. R.; Whittington, S. G. Knot probabilities in equilateral random polygons. (English) Zbl 1519.57013 J. Phys. A, Math. Theor. 54, No. 40, Article ID 405001, 21 p. (2021). MSC: 57K10 52A22 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kawauchi, Akio Knotting probability of an arc diagram. (English) Zbl 1460.57004 J. Knot Theory Ramifications 29, No. 10, Article ID 2042004, 22 p. (2020). Reviewer: Claus Ernst (Bowling Green) MSC: 57K10 57K45 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Cantarella, Jason; Needham, Tom; Shonkwiler, Clayton; Stewart, Gavin Random triangles and polygons in the plane. (English) Zbl 1410.52004 Am. Math. Mon. 126, No. 2, 113-134 (2019). MSC: 52A22 53A04 60D05 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Even-Zohar, Chaim Models of random knots. (English) Zbl 1404.57007 J. Appl. Comput. Topol. 1, No. 2, 263-296 (2017). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 60B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO MO
Cantarella, Jason; Shonkwiler, Clayton The symplectic geometry of closed equilateral random walks in 3-space. (English) Zbl 1408.53109 Ann. Appl. Probab. 26, No. 1, 549-596 (2016). MSC: 53D30 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cohen, Moshe; Krishnan, Sunder Ram Random knots using Chebyshev billiard table diagrams. (English) Zbl 1328.57005 Topology Appl. 194, 4-21 (2015). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 57M25 57M27 05C80 60C05 60B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blackstone, T.; Scharein, R.; Borgo, B.; Varela, R.; Diao, Y.; Arsuaga, J. Modeling of chromosome intermingling by partially overlapping uniform random polygons. (English) Zbl 1303.92026 J. Math. Biol. 62, No. 3, 371-389 (2011). MSC: 92C37 92D10 52A22 60D05 68U20 × Cite Format Result Cite Review PDF Full Text: DOI
Hua, Xia; Nguyen, Diana; Raghavan, Barath; Arsuaga, Javier; Vazquez, Mariel Random state transitions of knots: a first step towards modeling unknotting by type II topoisomerases. (English) Zbl 1114.57005 Topology Appl. 154, No. 7, 1381-1397 (2007). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 60J22 92-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Dobay, Akos; Dubochet, Jacques; Millett, Kenneth; Sottas, Pierre-Edouard; Stasiak, Andrzej Scaling behavior of random knots. (English) Zbl 1063.82013 Proc. Natl. Acad. Sci. USA 100, No. 10, 5611-5615 (2003). MSC: 82B41 57M25 60G50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shimamura, M. K.; Deguchi, T. Characteristic length of random knotting for cylindrical self-avoiding polygons. (English) Zbl 1065.60501 Phys. Lett., A 274, No. 5-6, 184-191 (2000). MSC: 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hasslacher, Brosl; Meyer, David A. Lattice gases and exactly solvable models. (English) Zbl 0893.60084 J. Stat. Phys. 68, No. 3-4, 575-590 (1992). MSC: 60K40 82C20 82C23 × Cite Format Result Cite Review PDF Full Text: DOI