Title: Renormalization group trajectories between two fixed points

Abstract: I will present the recent construction of a family of
discrete heteroclinic renormalization group trajectories for the
phi-four model with modified propagator studied by Brydges, Mitter and
Scoppola, in three dimensions. The trajectories interpolate between
the Gaussian ultraviolet fixed point and a nontrivial infrared fixed
point which is an analogue for this model of the Wilson-Fisher fixed
point.  Our method uses an ad hoc fixed point argument in a Banach
space of sequences.