“…(1.1) were originally introduced and studied in a series of works by Albeverio and others [8,9]: in fact, the idea of Gaussian and Poissonian invariant measures as special cases of the general, independently scattered one, dates back to [7]. The works [10,19,20,17] concern relations, in the form of scaling limits, between Gaussian and Poissonian random fields preserved by Euler's dynamics.…”