Geometrical Derivation of Equilibrium Distributions in some Stochastic   Systems
  In this chapter, we present a straightforward geometrical argument that in a certain way recalls us the equivalence between the canonical and the microcanonical ensembles in the thermodynamic limit for the particular context of physical sciences. In the more general context of homogeneous multi-agent systems, we conclude by highlighting the statistical equivalence of the volume-based and surface-based calculations in this type of systems. 
Ricardo Lopez-Ruiz and Jaime Sanudo
nlin.AO math.PR