DP
Dmitry Panchenko
math.PRmath.MPmath-phcond-mat.dis-nncs.ITmath.ITcs.LGmath.STstat.THmath.CO
On Valency
published · living versionsW_34b835ca·v1 · currentpublished
The Mézard-Parisi formula
1 version
Preprints & journals
48 papers in the corpus · 2004–2021Performance of Bayesian linear regression in a model with mismatch2107.06936v2 · Jean Barbier, Wei-Kuo Chen, Dmitry Panchenko et al.2021 · 10 citationsarXiv
Strong replica symmetry for high-dimensional disordered log-concave Gibbs measures2009.12939v3 · Jean Barbier, Dmitry Panchenko, Manuel S'aenz2020 · 9 citationsInf. Inference, 11, no. 3 (2022) 1079-1108
Strong replica symmetry in high-dimensional optimal Bayesian inference2005.03115v3 · Jean Barbier, Dmitry Panchenko2020 · 22 citationsCommunications in Mathematical Physics 393, no. 3 (2022) 1199-1239
Extending the Parisi formula along a Hamilton-Jacobi equation1910.14482v2 · Jean-Christophe Mourrat, Dmitry Panchenko2019 · 32 citationsElectron. J. Probab. 25 (23), 1-17 (2020)
The generalized TAP free energy II1903.01030v1 · Wei-Kuo Chen, Dmitry Panchenko, Eliran Subag2019 · 29 citationsCommun. Math. Phys., 381, no. 1 (2021) 257--291
The generalized TAP free energy1812.05066v3 · Wei-Kuo Chen, Dmitry Panchenko, Eliran Subag2018 · 1 citationPure and Applied Mathematics 76 (7), 1329-1415 (2023)
On the TAP free energy in the mixed -spin models1709.03468v2 · Wei-Kuo Chen, Dmitry Panchenko2017 · 27 citationsComm. Math. Phys., 362 no. 1 (2018) 219-252
Suboptimality of local algorithms for a class of max-cut problems1707.05386v3 · Wei-Kuo Chen, David Gamarnik, Dmitry Panchenko et al.2017 · 54 citationsAnnals of Probability 2019, Vol. 47, No. 3, 1587-1618
Disorder chaos in some diluted spin glass models1703.07211v1 · Wei-Kuo Chen, Dmitry Panchenko2017 · 11 citationsAnnals of Applied Probability, 28 no. 3 (2018) 1356-1378
On the -sat model with large number of clauses1608.06256v3 · Dmitry Panchenko2016 · 13 citationsRandom Structures and Algorithms, 52 no. 3 (2018) 536-542
Temperature chaos in some spherical mixed -spin models1608.02478v2 · Wei-Kuo Chen, Dmitry Panchenko2016 · 20 citationsJournal of Statistical Physics, 166 no. 5 (2017) 1151-1162
Free energy in the mixed p-spin models with vector spins1512.04441v2 · Dmitry Panchenko2015 · 63 citationsAnnals of Probability, 46 no. 2 (2018) 865-896
Free energy in the Potts spin glass1512.00370v3 · Dmitry Panchenko2015 · 48 citationsAnnals of Probability, 46 no. 2 (2018) 829-864
Fluctuations of the free energy in the mixed -spin models with external field1509.07071v2 · Wei-Kuo Chen, Partha Dey, Dmitry Panchenko2015 · 18 citationsProbab. Theory Related Fields 168, no. 1-2, 41-53 (2017)
Chaos in temperature in generic 2p-spin models1502.03801v5 · Dmitry Panchenko2015 · 20 citationsCommun. Math. Phys. 346, no. 2, 703-739 (2016)
Introduction to the SK model1412.0170v1 · Dmitry Panchenko2014 · 6 citationsCurrent Developments in Mathematics 2014, no. 1, 231-291 (2016)
Some examples of quenched self-averaging in models with Gaussian disorder1409.2133v1 · Wei-Kuo Chen, Dmitry Panchenko2014 · 3 citationsAnn. Inst. H. Poincar\'e Probab. Statist., 53 no. 1 (2017) 243-258
Structure of finite-RSB asymptotic Gibbs measures in the diluted spin glass models1406.4702v2 · Dmitry Panchenko2014 · 19 citationsJournal of Statistical Physics 162, no. 1 (2016) 1-42
The free energy in a multi-species Sherrington-Kirkpatrick model1310.6679v2 · Dmitry Panchenko2013 · 94 citationsAnnals of Probability 2015, Vol. 43, No. 6, 3494-3513
Structure of 1-RSB asymptotic Gibbs measures in the diluted p-spin models1308.1944v1 · Dmitry Panchenko2013 · 14 citationsJournal of Statistical Physics: Volume 155, Issue 1 (2014), pp. 1-22
On the replica symmetric solution of the K-sat model1304.6052v1 · Dmitry Panchenko2013 · 13 citationsElectron. J. Probab. 19 (2014), no. 67, 1-17
A hierarchical version of the de Finetti and Aldous-Hoover representations1301.1259v4 · Tim Austin, Dmitry Panchenko2013 · 26 citationsProbability Theory and Related Fields 159 no. 3 (2014) 809-823
The Sherrington-Kirkpatrick model: an overview1211.1094v1 · Dmitry Panchenko2012 · 56 citationsJ. Stat. Phys. 149 no. 2 (2012) 362-383
An approach to chaos in some mixed p-spin models1201.2198v1 · Wei-Kuo Chen, Dmitry Panchenko2012 · 23 citationsProbab. Theory Related Fields 157 (2013), no. 1-2, 389-404
The Parisi formula for mixed -spin models1112.4409v2 · Dmitry Panchenko2011 · 87 citationsAnnals of Probability 2014, Vol. 42, No. 3, 946-958
The Parisi ultrametricity conjecture1112.1003v2 · Dmitry Panchenko2011 · 166 citationsAnn. of Math. (2), Vol. 177, No. 1 (2013) 383-393
A new representation of the Ghirlanda-Guerra identities with applications1108.0379v2 · Dmitry Panchenko2011 · 2 citationsarXiv
A unified stability property in spin glasses1106.3954v3 · Dmitry Panchenko2011 · 16 citationsComm. Math. Phys., Vol. 313 No. 3 (2012) 781-790
Ghirlanda-Guerra identities and ultrametricity: An elementary proof in the discrete case1106.3984v1 · Dmitry Panchenko2011 · 26 citationsC. R. Acad. Sci. Paris, Ser. I {349} (2011) 813-816
A deletion-invariance property for random measures satisfying the Ghirlanda-Guerra identities1105.6038v1 · Dmitry Panchenko2011 · 3 citationsC. R. Acad. Sci. Paris, Ser. I 349 (2011) 579-581
Spin glass models from the point of view of spin distributions1005.2720v2 · Dmitry Panchenko2010 · 69 citationsAnnals of Probability 2013, Vol. 41, No. 3A, 1315-1361
The Ghirlanda-Guerra identities for mixed p-spin model1002.2190v1 · Dmitry Panchenko2010 · 53 citationsC.R.Acad.Sci.Paris, Ser. I 348 (2010) 189-192.
On the Dovbysh-Sudakov representation result0905.1524v1 · Dmitry Panchenko2009 · 26 citationsVol. 15 (2010) Elect. Comm. in Probab. 330-338
A connection between the Ghirlanda--Guerra identities and ultrametricity0810.0743v4 · Dmitry Panchenko2008 · 45 citationsAnnals of Probability 2010, Vol. 38, No. 1, 327-347
Log-concavity property of the error probability with application to local bounds for wireless communications0710.1383v2 · Andrea Conti, Dmitry Panchenko, Sergiy Sidenko et al.2007 · 42 citationsIEEE Trans. Inform. Theory, 2009, vol. 55, no. 6, 2766-2775.
On differentiability of the Parisi formula0709.1514v2 · Dmitry Panchenko2007 · 39 citationsVol. 13 (2008) Elect. Comm. in Probab. 241-247
Guerra's interpolation using Derrida-Ruelle cascades0708.3641v2 · Dmitry Panchenko, Michel Talagrand2007 · 7 citationsarXiv
A note on Talagrand's positivity principle0708.2453v1 · Dmitry Panchenko2007 · 13 citationsVol. 12 (2007) Elect. Comm. in Probab. 401-410
Exponential control of overlap in the replica method for p-spin Sherrington-Kirkpatrick modelmath-ph/0701074v1 · Dmitry Panchenko2007 · 1 citationJournal of Statistical Physics, 2008, Vol. 130, No. 5, 831-842.
Cavity method in the spherical Sherrington-Kirkpatrick modelmath/0604081v3 · Dmitry Panchenko2006 · 1 citationAnn. Inst. H. Poincare Probab. Statist. Volume 45, Number 4 (2009), 1020-1047.
On the overlap in the multiple spherical SK modelsmath/0604082v2 · Dmitry Panchenko, Michel Talagrand2006 · 51 citationsAnnals of Probability 2007, Vol. 35, No. 6, 2321-2355
A question about Parisi functionalmath/0412463v1 · Dmitry Panchenko2004 · 22 citations2005 Elect. Comm. in Probab. 10
A note on Talagrand's concentration inequality for empirical processesmath/0405341v2 · Dmitry Panchenko2004 · 0 citations2001 Elect. Comm. in Probab. 6, 55-65
Bounding the generalization error of convex combinations of classifiers: balancing the dimensionality and the marginsmath/0405345v1 · Vladimir Koltchinskii, Dmitry Panchenko, Fernando Lozano2004 · 21 citations2003 Ann. Appl. Probab. 13 No. 1
Bounds for diluted mean-fields spin glass modelsmath/0405357v1 · Dmitry Panchenko, Michel Talagrand2004 · 130 citations2004 Prob. Theory Related Fields 130 No. 3
A central limit theorem for weighted averages of spins in the high temperature region of the Sherrington-Kirkpatrick modelmath/0405358v1 · Dmitry Panchenko2004 · 0 citations2005 Elect. J. of Probab. 10
A note on the free energy of the coupled system in the Sherrington-Kirkpatrick modelmath/0405359v1 · Dmitry Panchenko2004 · 3 citations2005 Markov Process. Related Fields 11 No. 1
Free energy in the generalized Sherrington-Kirkpatrick mean field modelmath/0405362v3 · Dmitry Panchenko2004 · 42 citations2005 Rev. Math. Phys. 17 No. 7
Career total: 107 works. 48 are in this corpus.
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