Rotational invariance of quadromer correlations on a plane lattice

Mihai Ciucu

Georgia Institute of Technology

March 9,
4:15pm
refreshments at 3:45pm
2-338

ABSTRACT 

In 1963 Fisher and Stephenson conjectured that the monomer-monomer correlation on the square lattice is rotationally invariant. In this paper we prove a closely related statement on the hexagonal lattice. Namely, we consider correlations of two quadromers (four-vertex subgraphs consisting of a monomer and its three neighbors) and show that they are rotationally invariant.


Speaker's Contact Info: ciucu(at-sign)math.gatech.edu


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