2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59681We investigate the asymptotical behaviour of the transition probabilities of the simple random walk on the 2-comb. In particular we obtain space-time uniform asymptotical estimates which show the lack of symmetry of this walk better than local limit estimates. Our results also point out the impossibility of getting Jones-type non-Gaussian estimates.31 pagesProbabilityFunctional Analysis60j15text