Bates, Erik; Sohn, Youngtak Free energy in multi-species mixed \(p\)-spin spherical models. (English) Zbl 1492.60264 Electron. J. Probab. 27, Paper No. 52, 75 p. (2022). MSC: 60K35 60G15 82B44 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ouimet, Frédéric Poisson-Dirichlet statistics for the extremes of a randomized Riemann zeta function. (English) Zbl 1422.60036 Electron. Commun. Probab. 23, Paper No. 46, 15 p. (2018). MSC: 60F05 11M06 60G60 60G70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ouimet, Frédéric Geometry of the Gibbs measure for the discrete 2D Gaussian free field with scale-dependent variance. (English) Zbl 1378.60079 ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 2, 851-902 (2017). MSC: 60G70 60G60 60G15 82B44 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Jagannath, Aukosh Approximate ultrametricity for random measures and applications to spin glasses. (English) Zbl 1361.60035 Commun. Pure Appl. Math. 70, No. 4, 611-664 (2017). MSC: 60G57 60K35 60F05 82B44 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Austin, Tim Exchangeable random measures. (English. French summary) Zbl 1323.60068 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 842-861 (2015). MSC: 60G57 60G09 60K35 82B44 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Vélez, Ricardo; Prieto-Rumeau, Tomás Random assignment processes: strong law of large numbers and de Finetti theorem. (English) Zbl 1316.60041 Test 24, No. 1, 136-165 (2015). MSC: 60F15 60G09 × Cite Format Result Cite Review PDF Full Text: DOI
Panchenko, Dmitry The Parisi formula for mixed \(p\)-spin models. (English) Zbl 1292.82020 Ann. Probab. 42, No. 3, 946-958 (2014). MSC: 82B44 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Panchenko, Dmitry Spin glass models from the point of view of spin distributions. (English) Zbl 1281.60081 Ann. Probab. 41, No. 3A, 1315-1361 (2013). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Arguin, Louis-Pierre; Chatterjee, Sourav Random overlap structures: properties and applications to SPIN glasses. (English) Zbl 1275.82005 Probab. Theory Relat. Fields 156, No. 1-2, 375-413 (2013). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B44 60G57 60G15 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panchenko, Dmitry The Sherrington-Kirkpatrick model: an overview. (English) Zbl 1259.82050 J. Stat. Phys. 149, No. 2, 362-383 (2012). MSC: 82B44 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panchenko, Dmitry A unified stability property in spin glasses. (English) Zbl 1251.82051 Commun. Math. Phys. 313, No. 3, 781-790 (2012). MSC: 82D30 82B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panchenko, Dmitry Ghirlanda-Guerra identities and ultrametricity: an elementary proof in the discrete case. (English) Zbl 1226.82030 C. R., Math., Acad. Sci. Paris 349, No. 13-14, 813-816 (2011). MSC: 82B44 82D30 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Panchenko, Dmitry A deletion-invariance property for random measures satisfying the Ghirlanda-Guerra identities. (English) Zbl 1219.60087 C. R., Math., Acad. Sci. Paris 349, No. 9-10, 579-581 (2011). MSC: 60K35 82B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Arguin, Louis-Pierre; Damron, Michael Short-range spin glasses and random overlap structures. (English) Zbl 1216.82056 J. Stat. Phys. 143, No. 2, 226-250 (2011). MSC: 82D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv