Aukosh S. Jagannath

Current Research Interest

Publications

  1. On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model,
    with S. Sen, ArXiv (2017)
  2. Spectral Gap Estimates in Mean Field Spin Glasses
    with G. Ben Arous, ArXiv (2017)
  3. MAX \kappa-CUT and the inhomogeneous Potts spin glass,
    with J. Ko and S. Sen, to appear Ann. Appl. Probab. (2017)
  4. Random Matricies and the New York City Subway System,
    with T. Trogdon, Phys. Rev. E 96, 030101(R)
  5. Thouless-Anderson-Palmer equations for conditional Gibbs measures in the generic p-spin glass model,
    with A. Auffinger, ArXiv (2016)
  6. On the Spectral Gap of Spherical Spin Glass Dynamics,
    with R. Gheissari, ArXiv (2016)
  7. Bounding the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses,
    with I. Tobasco, to appear Proc. Amer. Math. Soc. (2016)
  8. Low Temperature Asymptotics of Spherical Mean Field Spin Glasses,
    with I. Tobasco, Commun. Math. Phys. 352, 979-1017 (2017)
  9. On the Overlap Distribution of Branching Random Walks,
    Electron. J. Probab., 21 (2016), no. 50, 16 pp.
  10. Some Properties of the Phase Diagram for Mixed p-Spin Glasses,
    with I. Tobasco, Probab. Theory Relat. Fields (2017) 167:615-672 (slides)
  11. A Dynamic Programming Approach to the Parisi Functional
    with I. Tobasco, Proc. Amer. Math. Soc. 144 (2016), 3135-3150
  12. Approximate Ultrametricity for Random Measures with Applications to Spin Glasses,
    Comm. on Pure and Appl. Math 70 (2017), 611–664. (video)
  13. Variational and Structural Methods in Mean Field Spin Glasses
    Ph.D. Thesis, May 2016
  14. Solution of the Propeller Conjecture in R3,
    with S. Heilman and A. Naor, Disc. & Comp. Geom. 50 2 (2013) code
    An extended abstract appeared at STOC 2012.
  15. Charged Particle Motion in Electromagnetic Fields Varying Moderately Slowly in Space
    with H. Weitzner, Physics of Plasmas 18, 104510 (2011)

Pages Concerning Research Projects

A rigorous, computational solution of the Propeller Conjecture in R^3