An effective equidistribution with explicit constants for the isometry group of rational forms with signature (2, 1) is proved. As an application we get an effective discreteness of Markov spectrum.

A self-consistent equation to derive a discreteness-induced stochastic steady state is presented for reactiondiffusion systems. For this formalism, we use the so-called Kuramoto length, a typical distance over which a molecule diffuses in its lifetime, as was originally introduced to determine if local fluctuations influence globally the whole system. We show that this Kuramoto length is also r...