Bill Cooperman

Assistant Professor of Mathematics
Courant Institute, NYU
Warren Weaver Hall 703
bill@{cprmn.org, nyu.edu}

I am interested in long-time and large-scale behavior of random or periodic objects. My work involves tools from probability, dynamical systems, and PDEs.

Research

Preprints

1. Exponentially mixing flows with slow enhanced dissipation
     with Gautam Iyer, Keefer Rowan, and Seungjae Son
2. Residual diffusivity for expanding Bernoulli maps
     with Gautam Iyer and James Nolen

Publications

3. Fourier mass lower bounds for Batchelor-regime passive scalars
     with Keefer Rowan, in Communications on Pure and Applied Mathematics
4. Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing
     with Keefer Rowan, in Inventiones mathematicae
5. A Harris theorem for enhanced dissipation, and an example of Pierrehumbert
     with Gautam Iyer and Seungjae Son, in Nonlinearity.
6. Unique continuation on planar graphs
     with Ahmed Bou-Rabee and Shirshendu Ganguly, in Discrete Analysis
7. Rigidity of harmonic functions on the supercritical percolation cluster
     with Ahmed Bou-Rabee and Paul Dario, in Transactions of the American Mathematical Society.
8. Slow periodic homogenization for Hamilton-Jacobi equations
     in Communications in Partial Differential Equations.
9. Exponential mixing by shear flows
     in SIAM Journal on Mathematical Analysis.
10. On the random G equation with nonzero divergence
      in Calculus of Variations and PDE.
11. Quantitative stochastic homogenization of the G equation
      in Probability Theory and Related Fields.
12. A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations
      in Archive for Rational Mechanics and Analysis.