Preprints:
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)