Constrained percolation Ising model and XOR Ising model on planar lattices

Overview & Synopsis

This note contains below topics, Constrained percolation on the m 4 n 4 lattice, Ising model on transitive triangular tilings of the hyperbolic plane, XOR Ising model on transitive triangular tilings of the hyperbolic plane, XOR Ising models on the hexagonal and triangular lattices, Square tilings of the hyperbolic plane, Proof of m23, Proof of m21, Proof of m22, Percolation on transitive triangular tilings of hyperbolic plane, Proof of ipl and c34, Proof of coii xorc, Proof of chi lth, Deterministic Results about Contours and Clusters.