Gribov process advected by the synthetic compressible velocity ensemble:   Renormalization Group Approach
  The direct bond percolation process (Gribov process) is studied in the presence of irrotational velocity fluctuations with long-range correlations. The perturbative renormalization group is employed in order to analyze the effects of finite correlation time on the long-time behavior of the phase transition between an active and an ab- sorbing state. The calculation is performed to the one-loop order. Stable fixed points of the renormalization group and their regions of stability are obtained within the three-parameter $(\epsilon,y,\eta)$- expansion. Different regimes corresponding to the rapid- change limit and frozen velocity field are discussed. 
N. V. Antonov, M. Hnatich, A. S. Kapustin, T. Lu\v{c}ivjansk\'y, L.   Mi\v{z}i\v{s}in
cond-mat.stat-mech