2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101189We show that, up to multiplication by constants, a Gaussian process has an infinitely divisible square if and only if its covariance is the Green function of a transient Markov process.Published at http://dx.doi.org/10.1214/009117905000000684 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60E07, 60G15, 60J25, 60J55 (Primary)A characterization of the infinitely divisible squared Gaussian processestext