2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/182928We derive the effect of instantons in the Penner model. It is known that the free energies of the Penner model and the c=1 noncritical string at self-dual radius agree in a suitable double scaling limit. On the other hand, the instanton in the matrix model describes a nonperturbative effect in the noncritical string theory. We study the correspondence between the instantons in the Penner model and the nonperturbative effect in c=1 noncritical string at self-dual radius.26 pages, 3 figures; v2: study of multi-instanton effects is addedHigh Energy Physics - Theorytext