A mean-field spin glass model based on diluted \(V\)-statistics (Q292130)

The author has recently developed systematic methods to control mean-field spin glass models with infinite connectivity at high-enough temperature. Then, the repliqua-symmetric equations required the use of a function as a parameter. The present paper concerns a diluted version of the previous model, where an additional randomness is put in the Hamiltonian. This time, the computation of the typical value of the overlaps requires the use of a random measure as an auxiliary parameter. This makes the study and the proofs much more difficult.