C. Wieczerkowski
Construction of the hierarchical $\phi^4$-trajectory
(120K, LATeX 2e)

ABSTRACT.  We study the invariant unstable manifold of the trivial 
renormalization group fixed point tangent to the $\phi^4$-vertex
in the hierarchical approximation. We parametrize it by a 
running coupling with linear $\beta$-function. The manifold is
studied as a fixed point of the renormalization group composed
with a flow of a running coupling. We present a rigorous 
construction of it by means of a contraction mapping.