S. Thalabard and B. Turkington, Optimal response to nonequilibrium disturbances under truncated Burgers-Hopf dynamics. * J. Phys. A: Math. Theor.* **50**, 175502, 2017.

B. Turkington, Q-Y. Chen and S. Thalabard, Coarse-graining two-dimensional turbulence via dynamical optimization. *Nonlinearity ***29**, 2961-2989, 2016.

S. Thalabard and B. Turkington, Optimal thermalization in a shell model of homogeneous turbulence. * J. Phys. A: Math. Theor.* **49, **165502, 2016**. **

R. Kleeman and B. Turkington, A nonequilibrium statistical model of spectrally truncated Burgers-Hopf dynamics. *Commun. Pure Appl. Math.* **67**, 1905-1946, 2014.

B. Turkington, An optimization principle for deriving nonequilibrium statistical models of Hamiltonian dynamics. * J. Stat. Phys. * ** 152 (3) **, 569-597, 2013.* *

B. Turkington, Statistical mechanics of two-dimensional and quasi-geostrophic turbulence. In * Long-Range Interacting Systems, * Lecture Notes of the Les Houches Summer School, **90,** pp. 159--209. T. Dauxois, S. Ruffo and L.F. Cugliandolo, eds. Oxford U. Press, 2009.

A. Eisner and B. Turkington, Nonequilibrium statistical behavior of nonlinear Schroedinger equations. *Physica D* **213**, 85-97, 2006.

R.S. Ellis, R. Jordan, P. Otto and B. Turkington, A statistical approach to the asymptotic behavior of a generalized class of nonlinear Schroedinger equations. *Commun. Math. Phys.* **244**, 187-208, 2004.

R.S. Ellis, K. Haven and B. Turkington, Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows. *Nonlinearity* **15**, 239-255, 2002.

B. Turkington, A. Majda, K. Haven and M. DiBattista, Statistical equilibrium predictions of the jets and spots on Jupiter. *Proc. Nat. Acad. Sci.* **98**, 12346-12350, 2001.

R.S. Ellis, K. Haven and B. Turkington, Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles. *J. Stat. Phys.* **101**, 999-1064, 2000.

B. Turkington, Statistical equilibrium measures and coherent states in two-dimensional turbulence. *Commun. Pure Appl. Math.* **52**, 781-809, 1999.

## Department of Mathematics and Statistics