Existence of a Lorenz renormalization fixed point of an arbitrary   critical order
  We present a proof of the existence of a renormalization fixed point for Lorenz maps of the simplest non-unimodal combinatorial type ({0,1},{1,0,0}), and with a critical point of arbitrary order rho>1. 
Denis Gaidashev, Bjorn Winckler
math.DS math.CV