Gaussian Weaves:. New Results

In this note we present further analysis on Gaussian Weaves introduced recently. These states are suitable candidates for 'thermal' states in the construction of new Hilbert spaces in kinematical loop quantum gravity on non-compact spaces. In particular, we demonstrate that some of the features of these states depend on the precise representation in which the cylindrical function (i.e. the state in which the Gaussian weave is based) is defined.