Research Statement and Summary, from 2007

Some of my Publications (updated, 2010)

  • J. M. Restrepo, S. T. McDaniel, ``Two Models for the Spatially Covariant Field Scattered by Randomly Rough Pressure-release Surfaces with Gaussian Spectra'', Journal of the Acoustical Society of America, 87 , pp 2033-2043 , 1990.
  • J. M. Restrepo, S. T. McDaniel, ``Spatial Coherence in the High Frequency Limit'', Waves in Random Media, 2 , pp 183-193, 1991.
  • J. M. Restrepo, G. K. Leaf, ``Wavelet-Galerkin Discretization of Hyperbolic Equations'', Journal of Computational Physics, 122 , pp 118-128, 1995.
  • J.M. Restrepo, J. L. Bona, ``Discretization of a Model for the Formation of Longshore Sand Ridges'', Journal of Computational Physics, 122 , pp 129-142, 1995.
  • J. M. Restrepo, J. L. Bona, ``Three-dimensional Model for the Formation of Longshore Sand Ridges on the Continental Shelf'', Nonlinearity, 8 , pp 781-820, 1995.
  • J. M. Restrepo, G. K. Leaf, ``Inner Product Computations Using Periodized Daubechies Wavelets'', International Journal of Numerical Methods in Engineering, 40 , pp 3557-3578, 1997.
  • J. M. Restrepo, ``Behavior of a Sand Ridge Model'', European Journal of Mechanics B/Fluids, 6 , pp 835-861, 1997.
  • J. M. Restrepo, G. K. Leaf, A. Griewank, ``Circumventing Storage Limitations in Variational Data Assimilation'', SIAM Journal on Scientific Computing, 19 , pp 1586-1605, 1998.
  • J. P. Albert, J. L. Bona, J. M. Restrepo, ``Solitary-Wave Solutions of the Benjamin Equation'', SIAM Journal of Applied Mathematics, 59 , pp 2139--2161, 1999.
  • J. C. McWilliams, J. M. Restrepo, ``The Wave-Driven Ocean Circulation'', Journal of Physical Oceanography, 29 , pp 2523-2540, 1999.
  • G. L. Eyink, J. M. Restrepo, ``Most Probable Histories for Nonlinear Dynamics: Tracking Climate Transitions'', Journal of Statistical Physics, 101 , pp 459-472, 2000.
  • J. L. Bona, W. McKinney, J. M. Restrepo, ``Stable and Unstable Solitary-Wave Solutions of the Generalized Regularized Long-Wave Equation'' Journal of Nonlinear Science, 10 , pp. 603-638, 2000.
  • D. Kurtze, J. M. Restrepo, ``Advective Time Lags in Box Models'', Journal of Physical Oceanography, 31 , pp. 1828-1842, 2001.
  • J. M. Restrepo, ``Wave-Current Interactions in Shallow Waters and Shore-Connected Ridges'', Continental Shelf Research, 21 , pp. 1331-1360, 2001.
  • J. M. Restrepo, G. K. Leaf, ``Noise Effects on Wave-Generated Transport Induced by Ideal Waves'', Journal of Physical Oceanography, 32 , pp. 2334-2349, 2002.
  • J. M. Restrepo, P. Fischer, G. K. Leaf ``Forces on Particles in Oscillatory Boundary Layers'', Journal of Fluid Mechanics, 468 , pp. 327-347, 2002.
  • S. Kim, G. Eyink, J. M. Restrepo, J. F. Alexander, G. W. Johnson, ``Ensemble Filtering for Nonlinear Dynamics,'' Monthly Weather Review, 131 , pp. 2586-2594, 2003.
  • G. E. Eyink, J. M. Restrepo, J. F. Alexander, ``A Mean Field Approximation in Data Assimilation for Nonlinear Dynamics'', Physica D, 195 , pp. 347-368, 2004.
  • G. L. Eyink, J. Restrepo, and F. J. Alexander "A Statistical-Mechanical Approach to Data Assimilation for Nonlinear Dynamics". (also available as a preprint as ``A Statistical-Mechanical Approach to Data Assimilation Using Moment Closures,'', 26 pages) Journal of Statistical Physics, 2003.
  • J. McWilliams, J. M. Restrepo, Emily Lane, ``An Asymptotic Theory for the Interaction of Waves and Currents in Shallow Coastal Waters,'' Journal of Fluid Mechanics, 511 , pp. 135-178, 2004.
  • P. Fischer, G. K. Leaf, J. M. Restrepo, ``Influence of Wall Proximity on the Lift and Drag of a Particle in an Oscillatory Flow,'' Journal of Fluids Engineering, 127 , pp. 583-594, 2005
  • J. F. Alexander, G. E. Eyink, J. M. Restrepo, ``Accelerated Monte-Carlo for Optimal Estimation of Time Series,'' Journal of Statistical Physics, 119 , pp.1331-1345, 2005.
  • C. Dombrowski, B. Lewellyn, A. I. Pesci, J. M. Restrepo, J. O. Kessler, R. E. Goldstein, ``Coiling, Entrianment, and Hydrodynamic Coupling of Decelerated Fluid Jets'', Physics Review Letters, 95 pp.184501 (2005).
  • S. Peacock, E. Lane, J. M. Restrepo, ``A possible sequence of events for the generalized glacial-interglacial cycle,'' Journal of Global Biogeochemical Cycles, 20 , GB2010 (2006).
  • E. Lane, S. Peacock, J. M. Restrepo, ``A dynamic-flow carbon-cycle box model and high-latitude sensitivity,'' Tellus B, 58 , pp.257-278 (2006).
  • M. Hasson, J.M. Restrepo, J. M. Hyman, ``A Strategy for Detecting Extreme Eigenvalues Bounding Gaps in the Discrete Spectrum of Self-Adjoint Operators,'' Computers and Mathematics with Applications, 53 , pp. 1271-1283 (2007).
  • G. E. Eyink, J. M. Restrepo, J. F. Alexander, ``A Statistical-Mechanical Approach to Data Assimilation for Nonlinear Dynamics'', pp 35+12 figures, accepted, subject to revisions , Journal of Statistical Physics, September, 2003.
  • E. Lane, J. M. Restrepo, J. McWilliams, ``Wave-Current Interaction: A Comparison of Radiation-Stress and Vortex-Force Representations,'' Journal of Physical Oceanography, 37 , pp.1122-1141 (2007).
  • J. M. Restrepo, ``Wave Breaking Dissipation in a Wave-driven Circulation,'' 37 , Journal of Physical Oceanography, pp 1749-1763 (2007).
  • M. Hasson, J.M. Restrepo, ``Approximating on Disjoint Intervals and its Application to Matrix Preconditioning,'', Complex Variables and Elliptic Equations, 52 , DOI: 10.1080/17476930701524222 (2007).
  • E. Lane, J. M. Restrepo, ``Shoreface-connected Ridges under the Action of Currents and Waves,'' Journal of Fluid Mechanics, 582 , DOI:0.1017/S0022112007005794 (2007).
  • J. M. Restrepo, ``A Path Integral Method for Data Assimilation,'' Physica D, 237 , pp. 14--27 (2008).
  • P. Krause, J. M. Restrepo "The Diffusion Kernel Filter Applied to Lagrangian Data Assimilation," Monthly Weather Review, vol. 137, issue 12, p. 4386
  • J. M. Restrepo, R. Choksi, Y. Jiang, J. Hyman,``Improving the damage accumulation in a biomechanical bone remodelling model,'' Computer Methods in Biomechanics and Biomedical Engineering, Volume 12 Issue 3 2009.
  • P. Fischer, G. Leaf, J. M. Restrepo: Torque Effects on the Lift and Drag of Particles in an Oscillatory Boundary Flow, J. of Fluids Engineering, 130:101303, 2008.
  • J. O. Barber, J. P. Alberding, J. M. Restrepo, T. W. Secomb, "Simulated Two-dimensional Red Blood Cell Motion, Deformation, and Partitioning in Microvessel Bifurcations," Ann Biomed Eng, 2008
  • J. M. Restrepo, ``Model for the Formation of Longshore Sand Ridges on the Continental Shelf, '' Transactions, American Geophysical Union, p. 255, October 1993.
  • J. L. Bona, W. McKinney, J. M. Restrepo, ``Numerical Investigation of the Stability of Solutions of the Generalized BBM Equation.'' Proceedings, IMACS 14th World Congress, 1 , pp 344-347. 1994.
  • H. Kaper, D. Ralley, J. M. Restrepo, S. Tipei, ``Additive Synthesis with DIASS on Argonne National Laboratory's IBM POWERparallel System (SP)'', Proceedings, International Computer Music Conference, Banff, pp 351-352, 1995.
  • J.M. Restrepo, P. Fischer, G. Leaf, ``Lift and drag measurements of a sphere using direct numerical simulation, '' Proceedings, ICTAM 2000, International Union of Theoretical and Applied Mechanics, 2000.
  • S. Peacock, E. Lane, J.M. Restrepo, ``A possible sequence of events for the generalized Glacial-interglacial cycle,'' AGU Fall Meeting, 2006.
  • J.M. Restrepo, ``A Path Integral Formulation of Data Assimilation,'', Proceedings of the 2006 Conference on Neural and Information Processing Systems, Vancouver 2006.
  • T. W. Secomb, J. O Barber, J. P. Alberding, J. M. Restrepo, ``Computational Simulation of Red Blood Cell Motion in Microvessels and Bifurcations,'' XXII ICTAM Conference, August 2008, Adelaide, Australia.
  • J. O. Barber, T. W. Secomb, J. P. Alberding, J. M. Restrepo, `` Simulated Two-dimensional Red Blood Cell Motion, Deformation and Partitioning in Micro-vessel Bifurcations,'' Society for Mathematical Biology Conference, July 2008, Toronto, ON, Canada.
  • J. M. Restrepo, H. Uys, D. Moulton, H. Uys "Precessive sand ripples in intense steady shear flows," Physical Review E, Vol.83, No.3, 2011
  • J. M. Restrepo, ``Student Involvement Vital to Climate Modeling Studies'', Global Change Scaler, ANL/GCS-2 p. 66-67, 1993.
  • J. M. Restrepo, J. L. Bona, ``Model for the Formation of Longshore Sand Ridges on the Continental Shelf. The Interaction of Internal Waves and the Bottom Topography.'' ANL Preprint MCS-P407-1293, 1993.
  • G. Schlossnagle, J. M. Restrepo, G. K. Leaf, ``Periodized Wavelets, '' ANL Technical Report ANL-93/34, pp 20 + 8 figures, 1993.
  • J. M. Restrepo, ``The Acoustics of the Advanced Photon Source Auditorium and Conference Center, '' ANL Technical Report ANL/MCS-TM-212, pp 80 + 16 figures, 1995.
  • J. M. Restrepo, ``Principles of Scientific Computing'', electronic course , pp 500+ figures.
  • J. M. Restrepo, J. Ramirez, M. Banner, J. McWilliams, "Wave-breaking Dissipation in Wave Current interactions,", accepted, to appear 2011, J. Physical Oceanogr.
  • Y. Uchiyama, J. C. McWilliams, J. M. Restrepo, Wave-current Interaction in Nearshore Shear Instability Analyzed with a Vortex Force Formalism,'' Journal of Geophysical Research, C06021, doi:10.1029/2008JC005135, 2009.
  • D. Kurtze, J. M. Restrepo, J. Dittmann, "Convective adjustment in box models" Ocean Modelling, v. 34, iss. 3-4, p. 92-110.
  • J. M. Restrepo, R. Rael, J. Hyman, '' Modeling the influence of polls on elections: a population dynamics approach,'' Journal of Public Choice, Volume 140, pp395-420, 2009.
  • S. Schofield, J. M. Restrepo, "Stability of planar buoyant jets in stratified fluids," Physics of Fluids, Volume 22, Issue 5, pp. 053602-053602-12 (2010).
  • B. Weir, Y. Uchiyama, E. Lane, J.M. Restrepo, J.C. McWilliams, "Wave/current interactions in rip current formation," accepted , Journal of Geophysical Research, to appear in 2011.

    Papers Under Review

  • N. Balci, A. Mazzucato, J. M. Restrepo, G. R. Sell, "Ensemble Dynamics and Bred Vectors," Mon. Weather Rev. 2010.
  • G. E. Eyink, J. M. Restrepo, J. F. Alexander, "A Statistical-Mechanical Approach to Data Assimilation for Nonlinear Dynamics, III Numerical Algorithms," Journal of Statistical Physics, 2004.
  • J. O. Barber, J. M. Restrepo, T. W. Secomb, "Simulated Red Blood Cell Motion in Microvessel Biffurcations: Effect of Cell-Cell Interactions on Cell Partitioning," Annals of Biomedical Engineering.

    Downloads

    ICES Oct 2009 Talk

    UMN Climate 2009 Talk

    SACNAS Global Warming Plenary Talk

    Stanford Interview

    Climate/Mathematics Awareness Talk

    Noise file

    New Noise Signal

    Climate Seminar on Ocean Dynamics

    restrepo.tar.gz

    WCI

    IMA JETS

    SACNAS TUTORIAL

    Kirkegaard and Associates

    EBV4S

    IDI

    Sonoran Institute

    Ocean Lecture