Fluctuations of the free energy in the diluted SK-model

We derive limit theorems for the fluctuations of the free energy in a diluted version of the Sherrington–Kirkpatrick model. Our proofs are based on the classical approach of Aizenman et al. [M. Aizenman, J.L. Lebowitz, D. Ruelle, Some rigorous results on the Sherrington–Kirkpatrick spin glass model, Comm. Math. Phys. 112 (1987) 3–20].