Point process limits of lattice processes

Starting from a suitable sequence of auto-Poisson lattice schemes, it is shown that (almost) any purely inhibitory pairwise-interaction point process can be obtained in the limit. Further pairwise-interaction processes are obtained as limits of sequences of auto-logistic lattice schemes. SPATIAL POINT PROCESS; AUTO-POISSON SCHEME; AUTO-LOGISTIC SCHEME; STRAUSS PROCESS; PAIRWISE-INTERACTION PROCESS: INHIBITORY POINT PROCESS; HARDCORE POINT PROCESS