2015/12/27 by Dmitry Panchenko · 3 citations
Mathematics · Physics and Astronomy · #math.PR #math-ph #math.MP #msc:60F10 #msc:60G15 #msc:60K35 #msc:82B44
published as Annals of Probability, 46 no. 2 (2018) 865-896
arxiv created 2015/12/27 · arxiv updated 2018/03/28
Using the synchronization mechanism developed in the previous work on the Potts spin glass model, arXiv:1512.00370, we obtain the analogue of the Parisi formula for the free energy in the mixed even p-spin models with vector spins, which include the Sherrington-Kirkpatrick model with vector spins interacting through their scalar product. As a special case, this also establishes the sharpness of Talagrand's upper bound for the free energy of multiple mixed p-spin systems coupled by constraining their overlaps.