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The distribution of Alexander polynomials of knots confined to a thin layer

J P J Michels and F W Wiegel

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Numerical hammagraphy is used to determine the statistical distribution of knots which are confined to a thin layer. The statistics used are based on more than 2*106 knots. Among various striking features is a marked regularity in the occurrence of the prime knots.


PACS

02.10.Kn Knot theory

68.90.+g Other topics in structure, and nonelectronic properties of surfaces and interfaces; thin films and low-dimensional structures (restricted to new topics in section 68)

MSC

82D60 Polymers

Subjects

Mathematical physics

Surfaces, interfaces and thin films

Dates

Issue 13 (7 July 1989)



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