  Kinetic equations, which explicitly take into account the branching nature of
sandpile avalanches, are derived. The dynamics of the sandpile model is
described by the generating functions of a branching process. Having used the
results obtained the renormalization group approach to the critical behavior of
the sandpile model is generalized in order to calculate both critical exponents
and height probabilities.

Condensed Matter;Chaotic Dynamics;Chaotic Dynamics