  Let $\Gamma$ denote the space of all locally finite subsets (configurations)
in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a
Markov process on $\Gamma$ in which pairs of particles simultaneously hop over
$\mathbb R^d$. We discuss a non-equilibrium dynamics of binary jumps. We prove
the existence of an evolution of correlation functions on a finite time
interval. We also show that a Vlasov-type mesoscopic scaling for such a
dynamics leads to a generalized Boltzmann non-linear equation for the particle
density.

Probability