Preprints
  1. An alternative construction of the strong embedding for the simple random walk.
  2. Consistent Estimates of Deformed Isotropic Gaussian Random Fields on the Plane. (with Ethan Anderes)
  3. A phase transition behavior for Brownian motions interacting through their ranks. (with Soumik Pal)
  4. Spin glasses and Stein's method.
  5. Multivariate normal approximation using exchangeable pairs. (with Elizabeth Meckes)
  6. Exponential Approximation by Exchangeable Pairs and Spectral Graph Theory. (with Jason Fulman)

Publications
  1. Fluctuations of eigenvalues and second order Poincaré inequalities. To appear in Probab. Theory Related Fields.
  2. Gravitational allocation to Poisson points. (with Ron Peled, Yuval Peres, and Dan Romik) To appear in Ann. Math.
  3. A new method of normal approximation. To appear in Ann. Probab.
  4. Estimation in spin glasses: A first step. Ann. Statist., 35, no. 5, 1931-1946, 2007.
  5. Concentration of Haar measures, with an application to random matrices. J. Funct. Anal., 245, 379-389, 2007.
  6. Stein's method for concentration inequalities. Probab. Theory Related Fields, 138, 305-321, 2007.
  7. A generalization of the Lindeberg principle. Ann. Probab., 34 no. 6, 2061-2076, 2006.
  8. Exchangeable pairs and Poisson approximation. (with Persi Diaconis and Elizabeth Meckes) Probab. Surv., 2, 64-106, 2005.
  9. A new method for bounding rates of convergence of empirical spectral distributions. (with Arup Bose) J. Theoret. Probab., 17 no. 4, 1003-1019, 2004.
  10. Limiting spectral distributions of large dimensional random matrices. (with Arup Bose and Sreela Gangyopadhyay) J. Indian Statist. Assoc., 41 no. 2, 221-259, 2003.

Ph.D. Thesis

     Concentration inequalities with exchangeable pairs. Ph.D. thesis, Stanford University, June 2005. Advisor: Persi Diaconis.


Other notes
  1. A simple invariance theorem.
  2. An error bound in the Sudakov-Fernique inequality.

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