Van der Waerden's Colouring Theorem and Classical Spin Systems
/ Authors
/ Abstract
We find a non-invertible matrix representation for Van der Waerden’s colouring theorem for two distinct colours in a one dimensional periodic lattice.Using this,an infinite one dimensional antiferromagnetic Ising system is mapped to a pseudo-ferromagnetic one, thereby relating the couplings.All this is reminiscent of renormalisation group.