  We study the absorbing state phase transition in the contact process on the
Weighted Planar Stochastic (WPS) Lattice. The WPS lattice is multifractal. Its
dual network has a power-law degree distribution function and is also embedded
in a bidimensional space. Moreover, it represents a novel way to introduce
coordination disorder in lattice models. We investigated the critical behavior
of the disordered system using extensive simulations. Our results show the
critical behavior is distinct from that on a regular lattice, suggesting it
belongs to a different universality class. We evaluate the exponent governing
the bond fluctuations and our results agree with the Harris-Barghathi-Vojta
criterium for relevant fluctuations.
