Preprints
  1. Large deviations for random matrices. (with S. R. S. Varadhan)
  2. The universal relation between scaling exponents in first-passage percolation.
  3. Estimating and Understanding Exponential Random Graph Models. (with Persi Diaconis)
  4. A note about the uniform distribution on the intersection of a simplex and a sphere.
  5. Central limit theorem for first-passage percolation time across thin cylinders. (with Partha S. Dey)
  6. Disorder chaos and multiple valleys in spin glasses.
  7. Chaos, concentration, and multiple valleys.

Publications
  1. Properties of Uniform Doubly Stochastic Matrices (with Persi Diaconis and Allan Sly) To appear in Ann. de l'Inst. Henri Poincaré.
  2. Probabilistic methods for discrete nonlinear Schrödinger equations. (with Kay Kirkpatrick) To appear in Comm. Pure Appl. Math.
  3. Random Overlap Structures: Properties and Applications to Spin Glasses. (with Louis-Pierre Arguin) To appear in Probab. Theory Related Fields.
  4. The missing log in large deviations for triangle counts. To appear in Random Structures and Algorithms.
  5. Random multiplicative functions in short intervals. (with Kannan Soundararajan) To appear in Int. Math. Res. Not.
  6. Spectral clustering and the high-dimensional Stochastic Block Model. (with Karl Rohe and Bin Yu) To appear in Ann. Statist.
  7. A combinatorial analysis of interacting diffusions. (with Soumik Pal) To appear in J. Theoret. Probab.
  8. A new approach to strong embeddings. To appear in Probab. Theory Related Fields.
  9. The large deviation principle for the Erdős-Rényi random graph. (with S. R. S. Varadhan) European J. Comb. (special issue on Homomorphisms and Limits) 32 no. 7, 1000-1017, 2011.
  10. Random graphs with a given degree sequence. (with Persi Diaconis and Allan Sly) Ann. App. Probab. 21 no. 4, 1400-1435, 2011.
  11. Exponential Approximation by Exchangeable Pairs and Spectral Graph Theory. (with Jason Fulman and Adrian Roellin) ALEA, 8, 1-27, 2011.
  12. Non-normal approximation by Stein's Method of Exchangeable Pairs with Application to the Curie-Weiss Model. (with Qi-Man Shao) Ann. App. Probab. 21 no. 2, 464-483, 2011.
  13. Phase Transitions in Gravitational Allocation. (with Ron Peled, Dan Romik and Yuval Peres) Geom. Funct. Anal., 20, 870-917, 2010.
  14. Applications of Stein's method for concentration inequalities. (with Partha S. Dey) Ann. Probab., 38 no. 6, 2443-2485, 2010.
  15. Spin glasses and Stein's method. Probab. Theory Related Fields., 148 nos. 3-4, 567-600, 2010.
  16. Gravitational allocation to Poisson points. (with Ron Peled, Yuval Peres and Dan Romik) Ann. Math., 172 no. 1, 617-671, 2010.
  17. A phase transition behavior for Brownian motions interacting through their ranks. (with Soumik Pal) Probab. Theory Related Fields, 147, 123-159, 2010.
  18. Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model. (with Nicholas Crawford) J. Statist. Phys., 137, 639--666, 2009.
  19. An observation about submatrices. (with Michel Ledoux) Elec. Comm. Probab., 14, 495-500, 2009.
  20. Consistent Estimates of Deformed Isotropic Gaussian Random Fields on the Plane. (with Ethan Anderes) Ann. Statist., 37 no. 5A, 2324-2350, 2009.
  21. Fluctuations of eigenvalues and second order Poincaré inequalities. Probab. Theory Related Fields, 143, 1-40, 2009.
  22. Multivariate normal approximation using exchangeable pairs. (with Elizabeth Meckes) ALEA, 4, 257-283, 2008.
  23. A new method of normal approximation. Ann. Probab., 36 no. 4, 1584-1610, 2008.
  24. Estimation in spin glasses: A first step. Ann. Statist., 35 no. 5, 1931-1946, 2007.
  25. Concentration of Haar measures, with an application to random matrices. J. Funct. Anal., 245, 379-389, 2007.
  26. Stein's method for concentration inequalities. Probab. Theory Related Fields, 138, 305-321, 2007.
  27. A generalization of the Lindeberg principle. Ann. Probab., 34 no. 6, 2061-2076, 2006.
  28. Concentration inequalities with exchangeable pairs. Ph.D. thesis. Stanford University, 2005.
  29. Exchangeable pairs and Poisson approximation. (with Persi Diaconis and Elizabeth Meckes) Probab. Surv., 2, 64-106, 2005.
  30. A new method for bounding rates of convergence of empirical spectral distributions. (with Arup Bose) J. Theoret. Probab., 17 no. 4, 1003-1019, 2004.
  31. Limiting spectral distributions of large dimensional random matrices. (with Arup Bose and Sreela Gangyopadhyay) J. Indian Statist. Assoc., 41 no. 2, 221-259, 2003.


Unpublished notes
  1. The Ghirlanda-Guerra identities without averaging.
  2. A simple invariance theorem.
  3. An error bound in the Sudakov-Fernique inequality.

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