  As a model for the transitions between plateaus in the fractional Quantum
Hall effect we study the critical behavior of non-interacting charged particles
in a static random magnetic field with finite mean value. We argue that this
model belongs to the same universality class as the integer Quantum Hall
effect. The universality is proved for the limiting cases of the lowest Landau
level, and slowly fluctuating magnetic fields in arbitrary Landau levels. The
conjecture that the universality holds in general is based on the study of the
statistical properties of the corresponding random matrix model.
