Andrew J. Majda Publications
(Revised April 2012)

  Books Recently Published

 1.       Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer Appl. Math. Sci., #53, 1984 Buy

 2.       (with A. Bertozzi,) Vorticity and Incompressible Flows, Cambridge University Press, 2001 Buy

 3.       Introduction to P.D.E.’s and Waves for the Atmosphere and Ocean: Courant Lecture Notes Vol. 9, American Mathematical Society & Courant Institute of Mathematical Sciences, 2002 Buy

 4.       (with R. Abramov, M. Grote,) Information theory and stochastics for multiscale nonlinear systems, CRM monograph series 25, American Mathematical Society, 2005 Buy

 5.       (with X. Wang,) Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows” in Cambridge University Press, 2006 Buy

  6.       (with J. Harlim) Filtering Complex Turbulent Systems,” in Cambridge University Press, (Available May 2012) ISBN-13:9781107016668 PDF


Refereed Book Chapters

1.       “Real world turbulence and modern applied mathematics," In Mathematics: Frontiers and Perspectives 2000, International Mathematical Union, 2000, 137-151, published by American Math. Society (PDF)

2.       (with A. Bourlioux, B. Khouider,) "A mathematical prototype for the validation of large eddy simulations strategies for turbulent flames, dans Turbulent Mixing and Combustion," Proceedings of the IUTAM Symposium, Kluwer Academic Press, 2002, pp. 211-221

3.    (with S. Stechmann) "Multi-scale theories for the MJO," Book Chapter - Intraseasonal Variability in the Atmosphere-Ocean Climate System, Springer Praxis Books, 2nd Edition, 2011 (PDF)

4.    "Climate Science, Waves and PDEs for the Tropics:," Book Chapter - 2011 Abel Symposium Volume, 2011 (PDF)

5.    (with M. Branicki, Y. Frenkel) "Improving Complex Models Through Stochastic Parameterization and Information Theory," ECMWF-WCRP, Thorpex Workshop on Model Uncertainty, 2011 (PDF)

Papers Submitted or Accepted for Publication
 Note: You may contact Prof. Majda at jonjon@cims.nyu.edu for PDF files that are not automatically available.

1. (with B. Khouider, S. Stechmann) "Climate Science in the Tropics: Waves, Vortices, and PDEs", submitted, Nonlinearity, March 17, 2012 (PDF)

2. (with I. Grooms, K. S. Smith) "Multiscale models for sypnoptic-mesoscale interactions in the ocean", submitted, Journal of Physical Oceanography, March 8, 2012 (PDF)

3. (with D. Giannakis) "Comparing low-frequency and intermittent variability in comprehensive climate models through nonlinear Laplacian spectral analysis", submitted, Geophysical Research Letters, March 5, 2012 (PDF)

4. (with J. Harlim) "Physics Constrained Nonlinear Regression Models for Time Series", submitted, Nonlinearity, February 23, 2012 (PDF)

5. (with M. Branicki) "Lessons in Uncertainty Quantification for Turbulent Dynamical System", accepted, Discrete and Continuous Dynamical Systems, February 23, 2012 (PDF)

6. (with M. Branicki) "Fundamental Limitations of Polynomial Chaos for Uncertainty Quantification in Systems with Intermittent Instabilities", submitted, Comm.Math.Sci. , January 2012 (PDF)

7. (with D. Giannakis) "Nonlinear Laplacian spectral analysis: Capturing intermittent and low-frequency spatiotemporal patterns in high-dimensional data", submitted, American Statistical Association, January 2012 (PDF)

8. (with Harlim) "Test Models for Filtering and Prediction of Moisture-Coupled Tropical Waves," accepted, QJRMS, January 2012 (PDF)

9. (with E. Kang, J. Harlim) "Regression Models with Memory for the Linear Response of Turbulent Dynamical Systems," submitted, Comm. Math. Sci, December 2011 (PDF)

10. (with Y. Frenkel, B. Khouider) "Simple models for the diurnal cycle and convectively coupled waves," submitted, TCFD, October 2011 (PDF)

11. (with M. Branicki) "Quantifying uncertainty for climate change and long range forecasting scenarios with model errors. Non-Guassian models with intermittency," submitted, Nonlinearity, January 2012 (PDF)

12. (with B. Gershgorin) "Quantifying uncertainty for climate change and long range forecasting scenarios with model errors. Part I: Gaussian models," accepted and in press, J. Climate, October 2011 (PDF)

13. (with S. Stechmann, D. Skjorshammer) "Convectively coupled wave-environment interactions," submitted, TCFD, September 2011 (PDF)

14. (with Q. Deng, L. Smith) "Tropical cyclogenesis and vertical shear in a moist Boussinesq model," received, J. Fluid Mech., September 2011 (PDF)

15.  "Challenges in Climate Science and Contemporary Applied Mathematics," Inivted Paper for the Special Volume of Communications on Pure and Applied Mathematics for 75th Anniversary of the Courant Institute, accepted and in press (PDF)

16. (with D. Giannakis, I. Horenko) "Information Theory, Model Error, and Predictive Skill of Stochastic Models for Complex Nonlinear Systems," submitted, Physica D, April 2011 (PDF)

17. (with B. Gershgorin) "Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum, and intermittency," accepted and in press, Proc. Roy. Soc., January 2011 (PDF)

18. (with J. Wiljes, I. Horenko) "An adaptive Markov chain Monte Carlo approach to time series clustering of processes with regime transition behavior," submitted, J. Comp. Phys., December 2010 (PDF)



PUBLICATIONS:

2012


  1. (with S. Keating, K. S. Smith) "New methods for estimating poleward eddy heat transport using satellite altimetry," Monthly Weather Review,(early online release), February 9, 2012, doi:10.1175/MWR-D-11-00145.1 (PDF)
  2. (with D. Giannakis) "Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability," PNAS, Feburary 14, 2012, doi: 10.1073/pnas.1118984109  (PDF) (Suppl) (Suppl Table) (Movie 1) (Movie 2)
  3. (with J. Sukhatme, L. Smith) "Two-dimensional Moist Stratified Turbulence," Physics of Fluids, March 19, 2012, doi:10.1063/1.3694805 (PDF)
  4. (with Y. Yuan) "Fundamental Limitations of Ad Hoc Linear and Quadratic Multi-Level Regression Models for Physical Systems," Discrete and Continuous Dynamical Systems, June 2012, doi:10.3934/dcdsb.2012.17.1333 (PDF)

2011


  1. (with B. Khouider, Y. Han, S. Stechmann) "Multi-scale waves in an MJO background and CMT feedback," Journal of Atmospheric Sciences, November 18, 2011, doi: 10.1175/JAS-D-11-0152.1 (PDF)
  2. (with Y. Frenkel, B. Khouider) "Simple multicloud models for the diurnal cycle of tropical precipatiation. Part II: The continental regime," Journal of Atmospheric Sciences, October 2011, doi: 10.1175/2011JAS3600.1 (PDF)
  3. (with Y. Frenkel, B. Khouider) "Simple Multiclouds Models for the Diurnal Cycle of Tropical Precipitation. Part I: Formulation and the Case of the Tropical Oceans," JAS, (early online release), Vol. 68, Issue 10, October 2011, pp. 2169-2190(PDF)
  4. (with D. Giannakis) "Quantifying the Predictive Skill in Long-Range Forecasting. Part II: Model Error in Coarse-Grained Markov Models with Application to Ocean-Circulation Regimes," J. of Climate,2011, doi: 10.1175/JCLI-D-11-00110.1 (PDF)
  5. (with D. Giannakis) "Quantifying the Predictive Skill in Long-Range Forecasting. Part I: Coarse-grained Predictions in a Simple Ocean Model," J. of Climate, 2011, doi: 10.1175/2011JCLI4143.1 (PDF)
  6. (with M. Branicki, B. Gershgorin) "Filtering Skill for Turbulent Signals for a Suite of Nonlinear and Linear Extended Kalman Filters," , J. Comp. Phys., 2011, doi: 10.1016/j.jcp.2011.10.029 (PDF)
  7. (with Y. Frenkel, B. Khouider) "Using the Stochastic Multicloud Model to Improve Tropical Convective Parameterization: A Paradigm Example," J. Atmos. Sci, October 2011, doi: 10.1175/JAS-D-11-0148.1 (PDF)
  8. (with R. Abramov) "Low Frequency Climate Response of Quasigeostropic Wind-Driven Ocean Circulation," J. Phys. Ocean, September 8, 2011, doi: 10.1175/JPO-D-11-052.1 (PDF)
  9. (with Gershgorin) "The Link Between Statistical Equilibrium Fidelity and Forecasting Skill for Complex Systems with Model Error," PNAS, July 18, 2011, doi: 10.1073/pnas.1108132108 (PDF)
  10. (with S. Stechmann) "Nonlinear Dynamics and Regional Variations in the MJO Skeleton," J. Atmos. Sci., June 22, 2011m, doi: 10.1175/JAS-D-11-053.1 (PDF)
  11. (with B. Gershgorin) "Improving Model Fidelity and Sensitivity for Complex Systems through Empirical Information Theory," PNAS, June 6, 2011, doi: 10.1073/pnas.1105174108,  (PDF)
  12. (with B. Khouider, A. St-Cyr, J. Tribbia) "MJO and convectively coupled waves in a coarse resolution GCM with a simple multicloud parametrization," JAS, (early online release) Volume 68, Issue 2, February 2011, pp. 240-264  (PDF)
  13. (with Y. Yuan) "Invariant Measures and Asymptotic Gaussian Bounds for Normal Forms of Stochastic Climate Model," in press, Chinese Annals of Mathematics, Series B, Vol. 32, Number 3, 2011, pp. 343-368 (PDF)
  14. (with B. Gershgorin) "Filtering a Statistically Exactly Solvable Test Model for Turbulent Tracers from Partial Observations," J. Comp. Phys, Vol. 230, Issue 4, February 2011, pp. 1602-1638 (PDF)

2010

  1. (with P. Souganidis) "The Existence and Uniqueness of Weak Solutions for Precipitation Fronts: A Novel Hyperbolic Free Boundary Problem in Several Space Variables," Comm. Pure Appl. Math., Vol. 63, Issue 10, October 2010, pp. 1351-1361 (PDF)
  2. (with B. Gershgorin) "A Test Model for Fluctuation-Dissipation Theorems with Time Periodic Statistics," Physica D, Vol 239, Issue 17, September 2010, pp. 1741-1757 (PDF)
  3. (with B. Gershgorin) "Quantifying Uncertainty in Climate Change Science Through Empirical Information Theory," PNAS, Vol. 107, No 34, August 2010, pp. 14958-14963 (PDF) (SI-PDF)
  4. (with D. Ruprecht, R. Klein) "Modulation of Internal Gravity Waves in a Multiscale Model for Deep Convection on Mesoscales," JAS, Vol. 67, Issue 8, August 2010, pp. 2504-2519 (PDF)
  5. (with Y. Xing, M. Mohammadian) "Moist Multi-Scale Models for the Hurricane Embryo," JFM, Vol. 657, June 2010, pp. 478-601 (PDF)
  6. (with J. Harlim, B. Gershgorin) "Mathematical Strategies for Filtering Turbulent Dynamical Systems," Discrete and Continuous Dynamical Systems, Vol. 27, No. 2, June 2010, pp. 441-486 (PDF)
  7. (with J. Biello) "Intraseasonal Multi-Scale Moist Dynamics of the Tropical Troposphere," Comm. Math. Sci., Vol. 8, Issue 2, June 2010, pp. 519-540 (PDF)
  8. (with M.A. Katsoulakis, A. Sopasakis) "Hybrid deterministic stochastic systems with Microscopic Look-ahead Dynamics," Comm. Math. Sci., Vol. 8, Issue 2, June 2010, pp. 409-437 (PDF)
  9. (with J. Harlim) "Filtering Turbulent Sparsely Observed Geophysical Flows," Mon. Wea. Rev., Vol. 138, Issue 4, April 2010, pp. 1050-1083 (PDF)
  10. (with M. Hairer) "A Simple Framework to Justify Linear Response Theory," Nonlinearity, Vol. 23, Issue 4, April 2010, pp. 909-922 (PDF)
  11. (with B. Gershgorin, Y. Yuan) "Low Frequency Response and Fluctuation-Dissipation Theorems: Theory and Practice," JAS, available electronically, Vol 67, April 2010, pp. 1186-1201 (PDF)
  12. (with J. Harlim,) “Catastrophic Filter Divergence in Filtering Nonlinear Dissipative Systems,” Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 27-43 (PDF)
  13. (with B. Gershgorin) "Filtering A Nonlinear Slow-Fast System with Strong Fast Forcing," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 67-92 (PDF)
  14. (with Y. Xing) "New Multi-Scale Models on Mesoscales and Squall Lines," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 113-134 (PDF)
  15. (with X. Wang) "Linear Response Theory for Statistical Ensembles in Complex Systems with Time-Periodic Forcing," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 145-172 (PDF)
  16. (with B. Khouider, J. Biello) "A Stochastic Multicloud Model for Tropical Convection," Comm. Math. Sci., Vol. 8, Issue 1, March 2010, pp. 187-216 (PDF)
  17. (with R. Abramov, B. Gershgorin) "High Skill in Low Frequency Climate Response through Fluctuation Dissipation Theorems Despite Structural Instability," PNAS, Vol. 107, no. 2, January 2010, pp 581 - 586 (PDF)
  18. (with B. Gershgorin, J. Harlim) "Test Models for Improving Filtering with Model Errors through Stochastic Parameter Estimation," J. Comp. Phys., Vol. 229, Issue 1, January 2010, pp. 1-31 (PDF)
  19. (with B. Gershgorin, J. Harlim) "Improving Filtering and Prediction of Spatially Extended Turbulent Systems with Model Errors Through Stochastic Parameter Estimation," J. Comp. Phys., Vol. 229, Issue 1, January 2010, pp. 32-57 (PDF)

2009

  1. (with Y. Xing, W. Grabowski) "New Efficient Sparse Space-Time Algorithms for Superparamterization on Mesoscales," Mon. Wea. Rev., Vol 137, Issue 12, December 2009, pp. 4307-4323 (PDF)
  2. (with S. Stechmann) "The Madden-Julian oscilltion and the multiscale hierarchy of organized convection," UCLA Tropical Meteorology and Climate Newsletter, 2009 (PDF)
  3. (with S. Stechmann) "Gravity Waves in Shear and Implications for Organized Convecion," J. Atmos. Sci., Vol. 66, Issue 9, September 2009, pp. 2579-2599 (PDF)
  4. (with C. Franzke, I. Horenko, R. Klein) "Systematic Metastable Atmospheric Regime Identification in an AGCM," J. Atmos. Sci, Vol. 66, Issue 7, July 2009, pp. 1997-2012 (PDF)
  5. (with S. Stechmann) “The Skeleton of Tropical Intraseasonal Oscillations” PNAS, Vol. 106, no. 21, May 2009, pp. 8417-8422 (PDF)
  6. (with M. Grote,) "Mathematical Test Models for Superparameterization in Anisotropic Turbulence," PNAS, Vol. 106, no. 14, April 2009, pp. 5470 - 5476 (PDF)
  7. (with C. Franzke, D. Crommelin,) "Normal Forms for Reduced Stochastic Climate Models," PNAS, Vol. 16, no. 10, March 2009, pp. 3649-3653 (PDF)
  8. (with R. Abramov,) “New Algorithms for Low Frequency Climate Response,” J. Atmos. Sci.,  Vol. 66, Issue 2, February 2009, 286 - 309 (PDF)
  9. (with S. Stechmann,) “A Simple Dynamical Model with Features of Convective Momentum Transport,” J. Atmos. Sci.,  Vol. 66, Issue 2, Feb 2009, 373 - 392 (PDF)

2008

  1. (with Y. Xing, M. Mohammadian,) “Vertically Sheared Horizontal Flow with Mass Sources: A Canonical Balanced Model,” GAFD, Vol. 102, Issue 6, December 2008, pp. 543-591 (PDF)
  2. (with S. Stechmann,) "Stochastic Models for Convective Momentum Transport," PNAS, November 2008, Vol. 105, no. 46, pp. 17614 - 17619 (PDF)
  3. (with B. Khouider,) “Equatorial Convectively Coupled Waves in a Simple Multicloud Model,”  J. Atmos. Sci., Vol. 65, Issue 11, November 2008, pp. 3376-3397 (PDF)
  4. (with B. Gershgorin,) “A Nonlinear Test Model for Filtering Slow-Fast Systems,” Comm. Math. Sci.,  Vol. 6, Issue 3, September 2008, pp. 611-649 (PDF)
  5. (with A. Gritsoun, G. Branstator,) “Climate Response of Linear and Quadratic Functionals using the Fluctuation Dissipation Theorem,” J. Atmos. Sci., Vol. 65, Issue 9, Sept 2008, pp. 2824-2841 (PDF)
  6. (with C. Franzke, B. Khouider,) “An Applied Mathematics Perspective on Stochastic Modelling for Climate,” Phil. Trans. Roy. Soc., Vol. 366, (1875), July 2008, pp. 2427 - 2453 (PDF)
  7. (with X. Wang,) “Note on the Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments: The Discrete Case,” J. Math. Phys., Vol. 48, Issue 6, June 2007, 065501 (PDF)
  8. (with J. Harlim,) “Filtering Nonlinear Dynamical Systems with Linear Stochastic Models,” Nonlinearity, 21, Issue 6, June 2008, pp. 1281 – 1306 (PDF)
  9. (with S. Stechmann, B. Khouider,) “Nonlinear Dynamics of Hydrostatic Internal Gravity Waves” Theoretical and Computational Fluid Dynamics, May 2008, 22: pp. 407 - 432 (PDF)
  10. (with J. Harlim,) “Mathematical Strategies for Filtering Complex Systems: Regularly Spaced Sparse Observations,” J. of Comp. Phys., Vol. 227, Issue 10, May 2008, pp. 5304 – 5341 (PDF)
  11. (with C. Franzke, D. Crommelin, A.Fischer,) “A Hidden Markov Model Perspective on Regimes and Metastability in Atmospheric Flows,” J. Climate,  Vol. 21, Issue 8, April 2008, pp. 1740 – 1757 (PDF)
  12. (with O. Pauluis, D. Frierson,) “Precipitation fronts and the reflection and transmission of tropical disturbances,” Quarterly J. of Roy. Met. Soc.,Vol. 134, Issue 633, April 2008, Part B, pp. 913 - 930  (PDF)
  13. (with E. Castronovo, J. Harlim,) “Mathematical Test Criteria for Filtering Complex Systems: Plentiful Observations,” J. of Comp. Phys., Vol. 227, Issue 7, March 2008, pp. 3678 - 3714 (PDF)
  14. (with B. Khouider,) “Multicloud Models for Organized Tropical Convection: Enhanced Congestus Heating,” J. Atmos. Sci., Vol. 65, Issue 3, March 2008, pp. 895 – 914 (PDF)
  15. (with A. Dutrifoy, S. Schochet,) “A Simple Justification of the Singular Limit for Equatorial Shallow-Water Dynamics,” CPAM,  Vol. 62, March 2009, pp. 322– 333 (PDF) - published online March 2008
  16. (with R. Abramov,) “New Approximations and Tests of Linear Fluctuation-Response for Chaotic Nonlinear Forced-Dissipative Dynamical Systems,” J. Nonlinear Sci., Vol 18, 2008, pp. 303-341 (PDF)

2007

  1. (with R. Abramov,) “Blended Response Algorithms for Linear Fluctuation-Dissipation for Complex Nonlinear Dynamical Systems,” Nonlinearity, 20, Issue 12, December 2007, 2793 – 2821 (PDF)
  2. (with C. Franzke, G. Branstator,) “The Origin of Nonlinear  Signatures of Planetary Wave Dynamics: Mean Phase Space Tendencies and Their Information,”  J. Atmos. Sci., Vol. 64, Issue 11, November 2007, pp. 3987-4003 (PDF)
  3. (with A. Dutrifoy,) “Fast Wave Averaging for the Equatorial Shallow Water Equations,” Comm. PDE, Vol. 32, Issue 10, October 2007, pp. 1617 – 1642 (PDF)
  4. “Multiscale Models with Moisture and  Systematic Strategies for Superparameterization,” J. Atmos. Sci., Vol. 64, Issue 7, July 2007, pp. 2726 – 2734 (PDF)
  5. (with J. Harlim,) “Information flow between subspaces of complex dynamical systems,” PNAS,  Vol. 104, 23, June 2007, pp. 9558 – 9563 (PDF)
  6. (with S. Stechmann, B. Khouider,) “Madden–Julian Oscillation analog and intraseasonal variability in a multicloud model above the equator,” PNAS, Vol. 104, June 2007, pp. 9919-9924 (PDF)
  7. (with J. Biello, M. Moncreiff,) “Meridional momentum flux and superrotation in the multi-scale IPESD MJO model," J. Atmos. Sci., Volume 64, Issue 5, May 2007, pp. 1636–1651 (PDF)
  8. “New Multiscale Models and Self-Similarity in Tropical Convection”, J. Atmos. Sci., Volume 64, Issue 4, April 2007, pp. 1393–1404  (PDF)
  9. (with B. Khouider,) “A Simple Multicloud Parameterization for Convectively Coupled Tropical Waves. Part II: Nonlinear Simulations” J. Atmos. Science, 64, February 2007, pp. 381-400 (PDF)
  10. (with M. Grote,) “Explicit off-line criteria for stable accurate time filtering of strongly unstable spatially extended systems,” PNAS, Vol. 104, January 2007, pp. 1124-1129, (PDF)
  11. (with M.A. Katsoulakis, A. Sopaskis,) “Prototype hybrid couplings of macroscopic deterministic models and microscopic stochastic lattice dynamics,” AMS Contemporary Mathematics, edited by Gui-Chen and Mark Pinsky, 2007, Vol 429, pp. 143-187 (PDF)

2006

  1. (with R. Klein,) “Systematic Multiscale Models for Deep Convection on Mesoscales,” Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 525–551(PDF)
  2. (with B. Khouider,) “Multicloud Convective Parameterizations with Crude Vertical Structure,” Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 351–375 (PDF)
  3. (with S. Stechmann,) “The Structure of Precipitation Fronts for Finite Relaxation Time,” Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 377–404, (PDF)
  4. (with B. Khouider,) “Model Multicloud Parameterizations for Convectively Coupled Waves: Detailed Nonlinear Wave Evolution,” Dynamics Atmosphere and Ocean, 42, 2006, pp. 59–80, (PDF)
  5. (with J. Biello,) “Transformations for temperature flux in multiscale models of the tropics,” Theoretical and Computational Fluid Dynamics, 20, 2006, pp. 405–420 (PDF)
  6. (with J. Biello,) “Modulating synoptic scale convective activity and boundary layer dissipation in the IPESD models of the Madden-Julian Oscillation,” Dynamics Atmospheres and Oceans, 60, 2006, pp. 393-408, (PDF)
  7. (with A. Bourlioux, O. Volkov,) “Conditional statistics for a passive scalar with a mean gradient and intermittency,” Physics of Fluids, Jan. 2006, 18, 104102  (PDF)
  8. (with M. Grote,) “Stable time filtering of strongly unstable spatially extended systems”, PNAS, v103, no. 20, 2006, pp. 7548-7553, . (PDF)
  9. (with C. Franzke, A. Fischer, D. Crommelin,) “Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model,” PNAS, v. 103, no. 22, 2006, pp. 8309-8314 (PDF)
  10. (with A. Dutrifoy,) “The Dynamics of Equatorial Long Waves: A Singular Limit with Fast Variable Coefficients,” Comm. Math. Sci., Vol. 4, No. 2, 2006, pp. 375 – 397 (PDF)
  11. (with M.A. Katsoulakis, A. Sopaskis,) “Intermittency, Metastability and Coarse Graining for Coupled Deterministic-Stochastic Lattice Systems,” Nonlinearity, 19, 2006, pp.1021-1047(PDF)
  12. (with R. Kleeman) “Predictability in a model for geophysical turbulence”, J. Atmos. Science, Vol. 62, No. 8, 2006, pp. 2864–2879 (PDF)
  13. (with B. Khouider,) “A Simple Multicloud Parameterization for Convectively Coupled Tropical Waves. Part I: Linear Analysis,” J. Atmos. Science, Vol. 63, No. 4, April 2006, pp. 1308–1323(PDF)
  14. (with C. Franzke,) “Low Order Stochastic Mode Reduction for a Prototype Atmospheric GCM,” J. Atmos. Sci., Vol. 63, No. 2, 2006, pp. 457–479(PDF)
  15. (with X. Wang), “The Emergence of Large Scale Coherent Structure under Small Scale Random Bombardments”, CPAM, Volume 59, Issue 4, 2006, pp.467-500. (PDF)
  16. (with I. Timofeyev, E. Vanden-Eijnden) “Stochastic Models for Selected Slow Variables in Large Deterministic Systems”, Nonlinearity, 19, No 4, April 2006, pp.769-794(PDF)

2005

  1. (with M.A. Katsoulakis, A. Sopaskis,) “Multiscale Couplings in Prototype Hybrid Deterministic/Stochastic Systems: Part II, Stochastic Closures,” Comm. Math. Sciences, Vol. 3, No. 3, Sept. 2005, pp. 453-478(PDF)
  2. (with B. Khouider), “A Non Oscillatory Balanced Scheme for an Idealized Tropical Climate Model; Part I: Algorithm and Validation”, Theoretical and Computational Fluid Dynamics, 19 (5);2005, pp. 331-354( PDF)
  3. (with B. Khouider), “A Non Oscillatory Balanced Scheme for an Idealized Tropical Climate Model; Part II: Nonlinear Coupling and Moisture Effects”, Theoretical and Computational Fluid Dynamics19(5): 2005, pp. 355–375(PDF)
  4. (with X. Wang), “Validity of the One and One-Half Layer Quasi-Geostrophic Model and Effective Topography”, Comm. PDE, Volume 30, Number 9, 2005, pp. 1305 - 1314 (PDF)
  5. (with J. Biello), “A New Multi-Scale Model for the Madden-Julian Oscillation”, J. Atmos. Sci., Vol. 62, No. 6, June 2005, pp. 1694–1721(PDF)
  6. (with C. Franzke and E. Vanden-Eijnden) “Low-order Stochastic Mode Reduction for a Realistic Barotropic Model Climate”, J. Atmos. Sci., Vol. 62, No. 6, June 2005, pp. 1722–1745 (PDF)
  7. (with R. Abramov and R. Kleeman) “Information Theory and Predictability for Low Frequency Variability”, J. Atmos. Sci., Vol. 62, No. 1, January 2005, pp. 65–87(PDF)

2004

  1. (with D. Cai and K. Haven) “Quantifying Predictability in a Simple Model with Complex Features, I: The Perfect Predictability Scenario”, Stochastics and Dynamics, Vol. 4, No. 4, 2004, pp. 547-569(PDF)
  2. (with I. Timofeyev) “Low Dimensional Chaotic Dynamics Versus Intrinsic Stochastic Noise: A Paradigm Model”, Physica D, Vol. 199, Issues 3-4, December 2004, pp.339–368(PDF)
  3. (with R. Abramov) “Quantifying Uncertainty for non-Gaussian Ensembles in Complex Systems”, SIAM J. Sci. Stat. Comp., Vol. 26, No. 2, December 2004, pp. 411–447(PDF)
  4. (with D. Frierson, O. Pauluis), “Large Scale Dynamics of Precipitation Fronts in the Tropical Atmosphere: A Novel Relaxation Limit”, Comm. Math. Sci., Vol. 2, No. 4, pp. 591-626, December 2004 (PDF)
  5. (with K. Haven and R. Abramov), “Quantifying Predictability Through Information Theory: Small Sample Estimation in a Non-Gaussian Framework”, J. Comp. Physics, Vol. 206, 334–362, September 2004. (PDF)
  6. (with D. Crommelin) “Strategies for model reduction: comparing different optimal bases”, J. Atmos. Sci., Vol. 61, No. 17, September 2004, pp. 2206–2217(PDF)
  7. (with B. Khouider, G. Kiladis, K. Straub, and M. Shefter), “A Model for Convectively Coupled Tropical Waves: Nonlinearity, Rotation, and Comparison with Observations”, J. Atmos. Sci., Vol. 61, Issue 17, September 2004, pp. 2188–2205(PDF)
  8. (with J. Biello) “A Multi-scale Model for Tropical Intraseasonal Oscillations”, Proc. Nat. Acad. Sci., 101, no. 14, April 2004, pp. 4736-4741(PDF)
  9. (with J. Biello) “Boundary Layer Dissipation and the Nonlinear Interaction of Equatorial Baroclinic and Barotropic Rossby Waves”, Geophys. Astrophys. Fluid Dynamics, Volume 98, Issue 2, April 2004, pp. 85-127 (PDF)
  10. (with M. Katsoulakis and A. Sopasakis), “Multiscale Couplings in Prototype Hybrid Deterministic/Stochastic Systems: Part I, Deterministic Closures, Comm. Math. Sci.,Vol. 2, Issue 2, June 2004, pp. 255-294(PDF)
  11. (with J. Biello) “The Effect of Meridional and Vertical Shear on the Interaction of Equatorial Baroclinic and Barotropic Rossby Waves”, Studies Appl. Math.,Volume 90, Issue 4, May 2004, pp. 341-390 (PDF)

2003

  1. (with R. Abramov), “Discrete Approximations with Additional Conserved Quantities: Deterministic and Statistical Behavior”, Methods and Applications of Analysis, Vol. 10, Issue 2, June 2003, pp. 151-190 (PDF)
  2. (with M. Katsoulakis and D. Vlachos), “Coarse-Grained Stochastic Processes and Monte-Carlo Simulations in Lattice Systems”, J. Comp. Phys., 186, 2003, pp. 250-278(PDF)
  3. (with B. Khouider and M. Katsoulakis), “Coarse-grained stochastic models for tropical convection and climate”, Proc. Natl. Acad. Sci., 100, no. 21, October 2003, pp. 11941-11946(PDF)
  4. (with J. Biello), “The Nonlinear Interaction of Barotropic and Equatorial Baroclinic Rossby Waves”, J. Atmos. Sci.,60, August 2003, pp. 1809-1821(PDF)
  5. (with I. Timofeyev and E. Vanden-Eijnden), “Systematic Strategies for Stochastic Mode Reduction in Climate”, J. Atmos. Sci., Vol. 60, July 2003, pp.1705-1722(PDF)
  6. (with P. Kramer), “Stochastic Mode Reduction for the Immersed Boundary Method”, SIAM J. Appl. Math., 64, no. 2, 2003, pp. 369-400 (PDF)
  7. (with P. Kramer), “Stochastic Mode Reduction for Particle-Based Simulation Methods for Complex Microfluid Systems”, SIAM J. Appl. Math.,64, no. 2, 2003, pp. 401-422(PDF)
  8. (with R. Abramov and G. Kovacic), “Hamiltonian Structure and Statistically Relevant Conserved Quantities for the Truncated Burgers-Hopf Equation”, CPAM, Vol. 56, Issue 1, 2003, pp. 1-46 (PDF)
  9. (with R. Klein), “Systematic Multi-Scale Models for the Tropics”, J. Atmos. Sci., 60, 357-372, 2003. (PDF)
  10. (with R. Abramov), “Statistically Relevant Conserved Quantities for Truncated Quasi-Geostrophic Flow”, Proc. Natl. Acad. Sci., 100, no. 7, 3841-3846, April, 2003. (PDF)
  11. (with M. Katsoulakis and D. Vlachos), “Coarse-Grained Stochastic Processes for Microscopic Lattice Systems”, Proc. Natl. Acad. Sci., 100, no. 3, 782-787, February, 2003. (PDF)
  12. (with P. Kramer and E. Vanden Eijnden), “Closure Approximations for Passive Scalar Turbulence: A Comparative Study on an Exactly Solvable Model with Complex Features”, J. Stat. Physics, 111, 565-679, 2003. (PDF)

2002

  1. (with R. Kleeman and I. Timofeyev), “Quantifying Predictability in a Model with Statistical Features of the Atmosphere”, Proc. Natl. Acad. Sci., 99, no. 24, 15291-15296, November 2002. (PDF)
  2. (with R. Kleeman and D. Cai), “A Mathematical Framework for Quantifying Predictability Through Relative Entropy”, Methods and Applications of Analysis, 9, no. 3, 425-444, September, 2002. (PDF)
  3. (with A. Bourlioux), “Elementary Models with Intermittency for Passive Scalars with a Mean Gradient”, Phys. Fluids, 14, no. 2, 881-897, February 2002. (PDF)
  4. (with M. DiBattista and J. Marshall), “A Statistical Theory for the Patchiness of Open-Ocean Deep Convection: The Effect of Preconditioning”, J. Phys. Oceanography, 32, 599-626, 2002. (PDF)
  5. (with B. Khouider), “Stochastic and Mesoscopic Models for Tropical Convection”, Proc. Natl. Acad. Sci., 99, no. 3, 1123-1128, February 2002. (PDF)
  6. (with I. Timofeyev), “Statistical Mechanics for Truncations of the Burgers-Hopf Equation: A Model for Intrinsic Stochastic Behavior with Scaling”, Milan J. Math., 70, 39-96, 2002. (PDF)
  7. (with I. Timofeyev and E. Vanden Eijnden), “A priori Tests of a Stochastic Mode Reduction Strategy”, Physica D, 170, no. 3-4, 206-252, 2002. (PDF)

2001

  1. (with X. Wang), “The Selective Decay Principle for Barotropic Geophysical Flows”, Methods Appl. Analysis, 8, No. 4, 579-594, December 2001.
  2. (with R. H. Goodman, and D.W. McLaughlin), “Modulations in the Leading Edges of Midlatitude Storm Tracks”, SIAM J. Appl. Math., 62, no. 3, 746-776, December 2001. (PDF)
  3. (with B. Khouider), “A numerical strategy for efficient modeling of the equatorial wave guide”, Proc. Natl. Acad. Sci. 98 no. 4, 1341-1346, 2001. (PDF)
  4. (with M. Shefter), “Waves and instabilities for model tropical convective parameterizations”, J. Atmos. Sci. 58, no. 8, 896-914, 2001. (PDF)
  5.  (with M. DiBattista), “Equilibrium statistical predictions for baroclinic vortices: the role of angular momentum”, Theor. Comp. Fluid Dynamics, 14, no. 5, 293-322, 2001. (PDF)
  6. (with C. Lim), “Point vortex dynamics for coupled surface/interior QG and propagating Heton clusters in models for ocean convection”, Geophys. Astrophys. Fluid Dynamics, 94, 177-220, 2001.
  7. (with M. DiBattista and M. Grote), “Meta-stability of equilibrium statistical structure for prototype geophysical flows with damping and driving”, Physica D, 151, 271-304, 2001. (PDF)
  8.  (with M. Shefter), “Models for stratiform instability and convectively coupled waves”, J. Atmos. Sci., 58, 1567-1584, 2001. (PDF)
  9. (with D. Cai, D. McLaughlin and E. Tabak), “Dispersive wave turbulence in one dimension”, Physica D., 152-153, 551-572, 2001. (PDF)
  10. (with I. Timofeyev and E. Vanden Eijnden), “A mathematical framework for stochastic climate models”, Comm. Pure Applied Math., LIV, 891-974, 2001. (PDF)
  11. (with A. Bourlioux and B. Khouider), “Parametrizing turbulent flame speed—Part I: unsteady shears, flame residence time and bending”, Theoretical and Computational Combustion, 5, 295-318, 2001.
  12. (with B. Turkington, K. Haven and M. DiBattista), “Statistical Equilibrium Prediction of Jets and Spots on Jupiter”, Proc. Natl. Acad. Sci., 98, no. 22, 12346-12350, 2001. (PDF)

2000

  1. (with P. Lions), “Equilibrium statistical theory for nearly parallel vortex filaments”, Comm. Pure Applied Math., 53, 76-142, 2000. (PDF)
  2. “Real world turbulence and modern applied mathematics”, In Mathematics: Frontiers and Perspectives 2000, International Mathematical Union, 2000, 137-151, published by American Math. Society.
  3. (with M. Shefter), “Nonlinear instability of elementary stratified flows at large Richardson number”, Chaos, 10, 3-27, 2000. (PDF)
  4. (with M. Dibattista), “An equilibrium statistical theory for large-scale features of open-ocean convection’, J. Phys. Oceanography, 30(6), 1325-1353, 2000. (PDF)
  5. (with M. Grote), “Crude closure for flow with topography through large scale statistical theory”, Nonlinearity, 13, 569-600, 2000. (PDF)
  6. (with T. Souganidis), “The effect of turbulence on mixing in prototype reaction diffusion systems”, Comm. Pure Applied Math., 53, 1284-1304, 2000. (PDF)
  7. (with A. Bourlioux), “An elementary model for the validation of flamelet approximations in nonpremixed turbulent combustion”, Comb. Theory & Modeling, 4, 189-210, 2000. (PDF)
  8. (with I. Timofeyev), “Remarkable statistical behavior for truncated Burgers-Hopf dynamics”, Proc. Natl. Acad. Sci., 97(23), 12413-12417, 2000. (PDF)
  9. (with M. Grote and M.G. Shefter), “Analytical Models for Vertical Collapse and Instability in Stably Stratified Flows”, IUTAM Symposium on Developments in Geophysical Turbulence, edited by Kerr, Herring and Kimura, 153-177, 2000.
  10. (with S.-Y. Shim and X. Wang), “Selective decay for geophysical flows”, Methods Appl. Analysis, 7, no. 3, 551-554, 2000.

1999

  1. (with M. Dibattista), “An equilibrium statistical model for the spreading of open-ocean convection”, Proc. Natl. Acad. Sci., 96, 6009-6013, 1999. (PDF)
  2. (with P. Kramer), “Simplified models for turbulent diffusion: theory, numerical modeling, and physical phenomena”, Phys. Reports, 314(4-5), 238-574, 1999. (PDF)
  3. (with E. Tabak, R. Rosales and C. Turner), “Interaction of large scale equatorial waves and dispersion of Kelvin waves through topographic resonances”, J. Atmos. Sci., 56, 4118-4133, 1999. (PDF)
  4. (with I. Timofeyev and E. Vanden Eijnden), “Models for stochastic climate prediction”, Proc. Natl. Acad. Sci., 96(26), 14687-14691, 1999. (PDF)
  5. (with D. Cai, D. McLaughlin and E. Tabak), “Spectral bifurcations in dispersive wave turbulence”, Proc. Natl. Acad. Sci., 96(25), 14216-14221, 1999. (PDF)

1998

  1. “Simplified Asymptotic Equations for Slender Vortex Filaments”, Proc. Of Symposia in Applied Math., 54, 237-280, 1998.
  2. (with P. Embid), “Low Froude number limiting dynamics for stably stratified flow with small or fixed Rossby Numbers”, Geophys. Astrophys. Fluid Dynamics, 87(1-2), 1-50, 1998. (PDF)
  3. (with M. Shefter), “The instability of stratified flows at large Richardson numbers”, Proc. Natl. Acad. Sci., 95, 7850-7853, 1998. (PDF)
  4. (with M. Grote and C.G. Ragazzo), “Dynamic mean flow and small scale interaction through topographic stress”, J. Nonlinear Sci., 8, 1-42, 1998. (PDF)
  5. (with P. Embid), “Averaging over fast waves for geophysical flows with unbalanced initial data”, Theor. Comp. Fluid Dynamics, 11, 155-169, 1998. (PDF)
  6. (with T. Souganidis), “Flame fronts in a turbulent combustion model with fractal velocity fields”, Comm. Pure Appl. Math. – Fritz John Volume 51, 1337-1348, 1998.
  7. (with M. Shefter), “Elementary stratified flows with instability at large Richardson number”, J. Fluid Mech., 376, 319-350, 1998. (PDF)
  8. (with M. Dibattista and B. Turkington), “Prototype geophysical vortex structures via large-scale statistical theory”, Geophys. Astrophys. Fluid Dynamics, 89, 235-283, 1998

1997

  1. (with F. W. Elliot, Jr. and D.J. Horntrop), “Monte Carlo Methods for turbulent traces with long range and fractal random velocity field”, Chaos, 7(1), 39-48, 1997. (PDF)
  2. (with D. McLaughlin and E. Tabak), “A one-dimensional model for dispersive wave turbulence”, J. Nonlinear Sci., 6, 9-44, 1997. (PDF)
  3. (with F.W. Elliot, Jr. and D.J. Horntrop), “A Fourier-Wavelet Monte Carlo Method for fractal random fields”, J. Comp. Physics, 132, 384-408, 1997. (PDF)
  4. (with P. Constantin and C. Foais, and I. Kukavica), “Dirichlet quotients for 2-D periodic Navier-Stokes equations”, Math. Pures and Appl., 76, 125-153, 1997. (PDF)
  5. (with M. Grote), “Model Dynamics and Vertical Collapse in decaying strongly stratified flows”, Phys. Fluids, 9(10), 2932-2940, 1997. (PDF)
  6. (with M. Grote), “Crude closure dynamics through large scale statistical theories”, Phys. Fluids, 9(11), 3431-3442, 1997. (PDF)
  7. (with M. Holen), “Dissipation, topography, and statistical theories for large scale coherent structure”, Comm. Pure Applied Math., 50(12), 1183-1234, 1997.
  8. (with D. Horntrop), “An overview of Monte Carlo simulation techniques for the generation of random fields”, in Monte Carlo Simulations in Oceanography, Proceedings of the Ninth “Aha Huliko’s” Hawaiian Winter Workshop. P. Muller and D. Henderson, editors, 67-69, 1997

1996

  1. (with R. McLaughlin), “An explicit example with non-Gaussian probability distribution for nontrivial scalar mean and fluctuation”, Phys. Fluids, 8(2), 536-547, 1996. (PDF)
  2. (with F. Elliot), “Pair dispersion over an inertial range spanning many decades”, Phys. Fluids, 8(4), 1052-1060, 1996. (PDF)
  3. (with P. Embid), “Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity”, Comm. P.D.E., 31(3&4), 619-658, 1996.
  4. (with P. Constantin and C. Fefferman), “Geometric constraints on potentially singular solutions for the 3-D Euler equations”, Comm. P.D.E., 21(3&4), 559-571, 1996
  5. (with T. Souganidis), “Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields”, J. Stat. Phys., 83(5&6), 933-954, 1996.
  6. (with E. Tabak), “A two-dimensional model for quasigeostropic flow. Comparison with two-dimensional Euler”, Physica D, 1413, 512-522, 1996. (PDF)
  7. (with P. Embid),“Examples and counterexamples for Huygens Principle in premixed combustion”, Comm. Sci. and Tech., 120(1-6), 273, 1996.