Connections '95

NORDITA-95/70P SPhT-95/133

More on the exact solution of the O(n) model on a random lattice and an investigation of the case |n| > 2 Abstract For n ∈ [−2, 2] the O(n) model on a random lattice has critical points to which a scaling behaviour characteristic of 2D gravity interacting with conformal matter fields with c ∈ [−∞, 1] can be associated. Previously we have written down an exact solution of this model valid at any...

Regular Connections among Generalized Connections

The properties of the space A of regular connections as a subset of the space A of generalized connections in the Ashtekar framework are studied. For every choice of compact structure group and smoothness category for the paths it is determined whether A is dense in A or not. Moreover, it is proven that A has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoot...

Shen's Processes on Finslerian Connections

Connections between labellings of trees

There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.

Properties of Generalized Berwald Connections