Preprints:

• Performance of Bayesian linear regression in a model with mismatch (with J. Barbier, D. Panchenko, M. Saénz) Preprint (2021)
  
• On the Almeida-Thouless transition line in the SK model with centered Gaussian external field Preprint (2021)
• On ℓp-Gaussian-Grothendieck problem (with A. Sen) Preprint (2020)
  

Publications:

• On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization (with S. Tang) To appear in Comm. Math. Phys.
  
• The generalized TAP free energy (with D. Panchenko and E. Subag) To appear in Comm. Pure Appl. Math.
• Phase transition in random tensors with multiple spikes (with M. Handschy and G. Lerman) To appear in Ann. App. Probab.
• Universality of Approximate Message Passing algorithms (with W.-K. Lam) Electron. J. Probab, Vol. 26, No. 36, 1-44 (2021)
• The generalized TAP free energy II (with D. Panchenko and E. Subag) Comm. Math. Phys., Vol. 381, 257-291 (2021)
• The SK model is infinite step replica symmetry breaking at zero temperature (with A. Auffinger and Q. Zeng) Comm. Pure Appl. Math., Vol. 73, No. 5 (2020)
• Order of fluctuations of the free energy in the SK model at critical temperature (with W.-K. Lam) ALEA, Vol. XVI, 809-916 (2019)
• Phase transition in the spiked random tensor with Rademacher prior Ann. Statist., Vol.47, No. 5, 2734-2756 (2019)
  
• Suboptimality of local algorithms for a class of max-cut problems (with D. Gamarnik, D. Panchenko, M. Rahman) Ann. Probab.,Vol. 47, No. 3, 1587-1618 (2019)
• On the TAP free energy in the mixed p-spin models (with D. Panchenko) Comm. Math. Phys., Vol. 362, No. 1, 219-252 (2018)
• Disorder chaos in some diluted spin glass models  (with D. Panchenko) Ann. App. Probab., Vol. 28, No. 3, 1356–1378 (2018)
  
• On the energy landscape of spherical spin glasses (with A. Auffinger) Adv. Math., Vol. 330, 553-588 (2018)
  
• On concentration properties of disordered Hamiltonians (with A. Auffinger) Proc. Amer. Math. Soc., Vol. 146, 1807-1815 (2018)
  
• On the energy landscape of the mixed even p-spin model (with M. Handschy and G. Lerman) Probab. Theory Related Fields., Vol. 171, No. 1-2, 53-95 (2018)
  
• Parisi formula for the ground state energy in the mixed p-spin model (with. A. Auffinger) Ann. Probab., Vol. 45, No. 6B, 4617-4631 (2017)
• Variational representations for the Parisi functional and the two-dimensional Guerra-Talagrand bound Ann. Probab., Vol. 45, No. 6A, 3929-3966 (2017)
• A duality principle in spin glasses (with A. Auffinger) Electron. J. Probab., Vol 22, No. 61 (2017)
• Fluctuations of the free energy in the mixed p-spin models with external field (with P. Dey and D. Panchenko) Probab. Theory Related Fields. Vol 168, No. 1, 41-53 (2017)
  
• Parisi formula, disorder chaos and fluctuation for the ground state energy in the spherical mixed p-spin models (with A. Sen) Comm. Math. Phys., Vol 350, No. 1, 129-173 (2017)
  
• Temperature chaos in some spherical mixed p-spin models (with D. Panchenko) J. Stat. Phys., Vol 166, No. 5, 1151-1162 (2017)
• Some examples of quenched self-avaraging in models with Gaussian disorder (with D. Panchenko) Ann. Inst. Henri Poincaré Probab. Stat., Vol 53, No. 1, 243-258 (2017)
• The Legendre structure of the Parisi formula (with A. Auffinger) Comm. Math. Phys., Vol 348, No. 3, 751–770 (2016)
• Limit Theorems in the Imitative Monomer-Dimer Mean-Field Model via Stein's Method  J. Math. Phys., Vol 57, 083302 (2016)
  
• Universality of chaos and ultrametricity in mixed p-spin models (with A. Auffinger) Comm. Pure Appl. Math., Vol. 69, No. 11, 2107-2130 (2016)
  
• Improved Hölder and reverse Hölder inequalities for Gaussian random vectors (with N. Dafnis and G. Paouris) Adv. Math., Vol. 280, 643-689 (2015)
• Disorder chaos in the spherical mean field model (with H.-W. Hsieh, C.-R. Hwang, and Y.-C. Sheu) J. Stat. Phys., Vol. 160, No. 2, 417-429 (2015)
• The Parisi formula has a unique minimizer (with A. Auffinger) Comm. Math. Phys., Vol. 335, No. 3, 1429-1444 (2015)
• Partial results on the convexity of the Parisi functional with PDE approach Proc. Amer. Math. Soc., Vol. 143, 3135-3146 (2015)
• On properties of Parisi measures (with A. Auffinger) Probab. Theory Related Fields, Vol. 161, No. 3, 817-850 (2015)
• Free energy and complexity of spherical bipartite models (with A. Auffinger) J. Stat. Phys., Vol. 157, No. 1, 40-59 (2014)
• Chaos in the mixed even-spin models Comm. Math. Phys., Vol. 328, No. 3, 867-901 (2014)
• On the mixed even-spin Sherrington-Kirkpatrick model with ferromagnetic interaction Ann. Inst. Henri Poincaré Probab. Stat., Vol. 50, No. 1, 63-83 (2014)
• The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models Electron. J. Probab., Vol. 18, No. 94, 1-14 (2013)
• An approach to chaos in some mixed p-spin models (with D. Panchenko) Probab. Theory Related Fields, Vol. 151, No. 1, 389-404 (2013)
• Disorder chaos in the Sherrington-Kirkpatrick model with external field Ann. Probab., Vol. 41, No. 5, 3345-3391 (2013)
• Central limit theorems for cavity and local fields of the Sherrington-Kirkpatrick model Electron. J. Probab., Vol. 18, No. 2, 1-25 (2013)
• On the optimal transition matrix for MCMC sampling (with T.-L. Chen, C.-R. Hwang, and H.-M. Pai) SIAM J. Control Optim., Vol. 50, No. 5, 2743-2762 (2012)