• Foreword

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/064/06/0828-0828a

• # Keywords

Solvability; differentiably finite; bond animal; Ising model; susceptibility; self-avoiding walks; self-avoiding polygons.

• # Abstract

We investigate the solvability of a variety of well-known problems in lattice statistical mechanics. We provide a new numerical procedure which enables one to conjecture whether the solution falls into a class of functions called differentiably finite functions. Almost all solved problems fall into this class. The fact that one can conjecture whether a given problem is or is not 𝐷-finite then informs one as to whether the solution is likely to be tractable or not. We also show how, for certain problems, it is possible to prove that the solutions are not 𝐷-finite, based on the work of Rechnitzer $[1–3]$.

• # Author Affiliations

1. SN Bose National Centre for Basic Sciences, Kolkata
2. Indian Institute of Science, Bangalore
3. Banaras Hindu University, Varanasi

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019