The auxiliary variational problems of the full-RSB free energy functional for spin glasses on random regular graphs are solved by a unique backward-stochastic-differential-equation solution, and step-shaped order parameters recover the discrete-RSB free energy.
Spr inger, Berlin, Heidelberg (2003)
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Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph
The auxiliary variational problems of the full-RSB free energy functional for spin glasses on random regular graphs are solved by a unique backward-stochastic-differential-equation solution, and step-shaped order parameters recover the discrete-RSB free energy.