Opening book details…
Can I read Haruspicy 2: The anisotropic generating function of self-avoiding polygons is not D-finite on EtoBox?
Haruspicy 2: The anisotropic generating function of self-avoiding polygons is not D-finite by Andrew Rechnitzer is a Mathematics article available to read on EtoBox.
What is Haruspicy 2: The anisotropic generating function of self-avoiding polygons is not D-finite about?
We prove that the anisotropic generating function of self-avoiding polygons is not a D-finite function-proving a conjecture of Guttmann [Discrete Math. 217 (2000) 167-189] and Guttman and Enting [Phys. Rev. Lett. 76 (1996) 344-347]. This result is also generalised to self-avoiding polygons on hypercubic lattices. Using the haruspicy techniques developed in an earlier paper [Rechnitzer, Adv. Appl. Math. 30 (2003) 228-257], we are also able to prove the form of the coefficients of the anisotropic generating function, which was first conjectured in Guttman and Enting [Phys. Rev. Lett. 76 (1996) 344-347].
Who reads Haruspicy 2: The anisotropic generating function of self-avoiding polygons is not D-finite?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Andrew Rechnitzer
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0097-3165)
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)