  The conformations of topologically constrained double-folded ring polymers
can be described as wrappings of randomly branched primitive trees. We extend
previous work on the tree statistics under different (solvent) conditions to
explore the conformational statistics of double-folded rings in the limit of
tight wrapping. In particular, we relate the exponents characterizing the ring
statistics to those describing the primitive trees and discuss the distribution
functions $p(\vec r | \ell)$ and $p(L | \ell)$ for the spatial distance, $\vec
r$, and tree contour distance, $L$, between monomers as a function of their
ring contour distance, $\ell$.
