Generalised Mobius functions for rectangles on the square lattice
- 1 March 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (3) , 563-568
- https://doi.org/10.1088/0305-4470/11/3/016
Abstract
Finite cluster expansions are described in terms of generalised Mobius functions. This description is used to formalise techniques for obtaining series expansions for lattice models in terms of rectangular graphs. In particular new expressions are given for boundary corrections for finite systems.Keywords
This publication has 8 references indexed in Scilit:
- A special series expansion technique for the square latticeJournal of Physics A: General Physics, 1977
- Series expansions from the finite lattice methodJournal of Physics A: General Physics, 1977
- Asymptotic inference for an Ising latticeJournal of Applied Probability, 1976
- Spatial Interaction and the Statistical Analysis of Lattice SystemsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1974
- Mixing properties, differentiability of the free energy and the central limit theorem for a pure phase in the Ising model at low temperatureCommunications in Mathematical Physics, 1973
- Dimers on a Rectangular LatticeJournal of Mathematical Physics, 1968
- On the foundations of combinatorial theory I. Theory of M bius FunctionsProbability Theory and Related Fields, 1964
- An approximation method for order-disorder problems IPhysica, 1954