Álvarez, GabrielMartín Mayor, VíctorRuiz Lorenzo, Juan J.2023-06-202023-06-202000-02-110305-447010.1088/0305-4470/33/5/302https://hdl.handle.net/20.500.14352/60330© 2000 IOP Publishing Ltd. We thank Professors G. Parisi for useful discussions and A. J. Bray for providing references. The financial support of the Universidad Complutense under project PR156/97-7100, the Comisión Interministerial de Ciencia y Tecnología under project AEN96-1708, and a postdoctoral grant from the MEC are also gratefully acknowledged.We show analytically that the perturbative expansion for the free energy of the zero dimensional (quenched) disordered Ising model is Borel-summable in a certain range of parameters, provided that the summation is carried out in two steps: first, in the strength of the original coupling of the Ising model and subsequently in the variance of the quenched disorder. This result is illustrated by some high-precision calculations of the free energy obtained by a straightforward numerical implementation of our sequential summation method.engjournal articlehttp://dx.doi.org/10.1088/0305-4470/33/5/302http://iopscience.iop.orghttps://arxiv.org/abs/cond-mat/9910186v1open access53Dilute ising-modelSystems.Física-Modelos matemáticos