Prefer a chat interface with context about you and your work?
Measure-valued limits of interacting particle systems with <i>k</i>-nary interactions II. Finite-dimensional limits
It is shown that Markov chains in describing k-nary interacting particles of d different types approximate (in the continuous state limit) Markov processes on having pseudo-differential generators with symbols p (x,ξ) depending polynomially (degree k) on x. This approximation can be used to prove existence and non-explosion results for the …