RT Journal Article T1 Cumulative overlap distribution function in realistic spin glasses A1 Billoire, A. A1 Maiorano, A. A1 Marinari, E. A1 Martín Mayor, Víctor A1 Yllanes, D. AB We use a sample-dependent analysis, based on medians and quantiles, to analyze the behavior of the overlap probability distribution of the Sherrington-Kirkpatrick and 3D Edwards-Anderson models of Ising spin glasses. We find that this approach is an effective tool to distinguish between replica symmetry breaking–like and droplet-like behavior of the spin-glass phase. Our results are in agreement with a replica symmetry breaking–like behavior for the 3D Edwards-Anderson model. PB American Physical Society SN 1098-0121 YR 2014 FD 2014-09-08 LK https://hdl.handle.net/20.500.14352/35533 UL https://hdl.handle.net/20.500.14352/35533 LA eng NO © 2014 American Physical Society. We thank the Janus Collaboration for allowing us to use their EAI data. The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC Grant Agreement No. 247328. V.M.-M. and D.Y. acknowledge support from MINECO (Spain), Contract No. FIS2012-35719-C02. NO Unión Europea. FP7 NO Ministerio de Economía y Competitividad (MINECO) DS Docta Complutense RD 9 jun 2025