Stretched polygons in a lattice tube

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 32, 2009, Pages

  Atapour, M ^a   Soteros, C E ^b   Whittington, S G ^c  

^a YORK UNIVERSITY   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449592033     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/32/322002     Document Type: Article

References (18)

1. Sumners D W and Whittington S G 1988 Knots in self-avoiding walks J. Phys. A: Math. Gen. 21 1689-94
2. Pippenger N 1989 Knots in random walks Discrete Appl. Math. 25 273-8
3. Diao Y, Pippenger N and Sumners D W 1994 On random knots J. Knot Theory Ramif. 3 419-29
4. Diao Y N 1995 The knotting of equilateral polygons in J. Knot Theory Ramif. 4 189-96
5. Farago O, Kantor Y and Kardar M 2002 Pulling knotted polymers Europhys. Lett. 60 53-9
6. Janse van Rensburg E J, Orlandini E, Tesi M C and Whittington S G 2008 Knotting in stretched polygons J. Phys. A: Math. Theor. 41 015003
7. Kesten H 1963 On the number of self-avoiding walks J. Math. Phys. 4 960-9
8. Ioffe D and Velenik Y 2008 Ballistic phase of self-interacting random walks Analysis and Stochastics of Growth Processes and Interface Models ed P Morters et al (Oxford: Oxford University Press)
9. Soteros C E 1998 Knots in graphs in subsets of IMA Vol. in Math. and its Appl. vol 103 ed S G Whittingon, D W Sumners and T Lodge (New York: Springer) pp 101-33
10. Soteros C E and Whittington S G 1989 Lattice models of branched polymers: effects of geometrical constraints J. Phys. A: Math. Gen. 22 5259-70
11. Hille E and Phillips R S 1957 Functional Analysis and Semi-Groups (Providence, RI: American Mathematical Society)
12. Wilker J B and Whittington S G 1979 Extension of a theorem on super-multiplicative functions J. Phys. A: Math. Gen. 12 L245-L247
13. Madras N and Slade G 1993 The Self-Avoiding Walk (Boston: Birkhaüser)
14. Janse van Rensburg E J 2000 The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles (Oxford: Oxford University Press)
15. Hardy G H, Littlewood J E and Pòlya G 1952 Inequalities (Cambridge: Cambridge University Press)
16. Alm S E and Janson S 1990 Random self-avoiding walks on one-dimensional lattices Commun. Stat. Stoch. Models 6 169-212
17. Atapour M 2008 Topological entanglement complexity of systems of polygons and walks in tubes PhD Thesis University of Saskatchewan, Canada
18. Schaefer H H 1974 Banach Lattices and Positive Operators (New York: Springer)