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Jonathan C. Mattingly, Professor of Mathematics and Statistical Science

Jonathan C. Mattingly
Contact Info:
Office Location:  297 Physics
Office Phone:  (919) 660-6978
Email Address: send me a message
Web Page:  http://www.math.duke.edu/~jonm

Teaching (Spring 2014):

  • MATH 181.01, MATH EVERYWHERE Synopsis
    Social Sciences 119, MW 10:05 AM-11:20 AM
  • MATH 545.01, STOCHASTIC CALCULUS Synopsis
    Social Sciences 119, MW 01:25 PM-02:40 PM
Office Hours:

TBA
Education:

PhD in Applied and Computational MathematicsPrinceton University1998
AuditorENS Lyon1993
BS in Applied MathematicsYale University1992
High School DiplomaNCSSM1988
Specialties:

Probability
Applied Math
Analysis
Mathematical Physics
Research Interests: Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids

Areas of Interest:

Ergodic theory
Truly infinite dimensional behabior in SPDEs
Scaling limited of algorithems used in simulation and data analysis
Probabilistic algorithms for large data
Stabilization of dynamics my noise
scaling limits of stochastic algorithms

Curriculum Vitae
Current Ph.D. Students   (Former Students)

Postdocs Mentored

  • Herzog David (August, 2011 - present)  
  • Avanti Athreya (2009 - 2011)  
  • Oliver Diaz Espinosa (2009 - 2011)  
  • Matthias Heymann (September, 2007 - August, 2010)  
  • Boumediene Hamzi (September, 2007 - June, 2010)  
  • Scott McKinley (September 1, 2006 - June 1, 2010)  
  • David Anderson (September, 2005 - December, 2005)  
  • Yuri Bakhtin (2004)  
Undergraduate Research Supervised

  • (Paul) Yang Ziquan (June, 2013 - present)  
  • Steve Siyang Wang (June, 2013 - November, 2013)  
  • Christy Vaughn (January, 2013 - present)  
Representative Publications   (More Publications)

  1. Jonathan C. Mattingly, Etienne Pardoux, Malliavin calculus for the Stochastic 2D Navier Stokes Equation, Communications on Pure and Applied Mathematics, vol. 59 no. 12 (December, 2006), pp. 1742 - 1790 [math.PR/0407215]  [abs]
  2. Martin Hairer, J.C. Mattingly, Ergodicity of the 2D Navier-Stokes Equations with Degenerate Stochastic Forcing, Annals of Mathematics, vol. 164 no. 3 (November, 2006) [math.PR/0406087]  [abs]
  3. J.C. Mattingly, On Recent Progress for the Stochastic Navier Stokes Equations, Journées "Équations aux Dérivées Partielles" (Forges-les-Eaux, 2003), vol. XV (Summer, 2003), pp. viii+298, Universit\'e de Nantes, Nantes (Held in Forges-les-Eaux, June 2--6, 2003, The papers are available electronically at \url{http://www.math.sciences.univ-nantes.fr/edpa}.) [MR2050586(2004j:00022)], [pdf]  [abs]
  4. Bakhtin, Yuri and Mattingly, Jonathan C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Communications in Contemporary Mathematics, vol. 7 no. 5 (2005), pp. 553--582, World Scientific (ISSN: 0219-1997.) [MR2175090], [math.PR/0509166]  [abs]
  5. W. E, J.C. Mattingly, Ya Sinai, Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation, Comm. Math. Phys., vol. 224 no. 1 (2001), pp. 83--106 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf]
  6. J.C. Mattingly, Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics, Comm. Math. Phys., vol. 230 no. 3 (2002), pp. 421--462 [MR2004a:76039], [pdf]
Recent Grant Support

  • Multiscale Analysis of Dynamic Graphs, Office of Naval Research, N00014-12-1-0601-01, 2012/08-2015/07.      
  • EMSW21-RTG: Enhanced Training and Recruitment in Mathematical Biology, National Science Foundation, DMS-0943760, 2010/09-2014/08.      
  • FRG: Collaborative Proposal: Stochastics and Dynamics: Asymptotic Problems, National Science Foundation, DMS-0854879, 2009/06-2012/05.      
  • MULTISCALE ANALYSIS OF DYNAMIC GRAPHS, Office of Naval Research, N000141210601, 2012/04.      
  • Visitinig Member, Institut Universitaire de France, 2004/05.      
Conferences Organized

  • Organized invited session at SPA2013, August, 2013  
  • Seminar on Stochastic Processes 2013, Co Organizer (with Amarjit Budhiraja ), March, 2013  
  • Woman in Probability III, Local Orgnaizer (with Rick Durrett), October, 2012  
  • SAMSI Stochastic Dynamics tradition workshop, November, 2010  
  • MFO week long school on ergodic theory, October, 2010  
  • local liaison/Organizer SAMSI year on stochastic dynamics, 2009 - 2010  
  • SAMSI Opening Workshop for Stochastic Dynamics, August, 2009  
  • AIM conference: Stochastic numerics methods and application, October, 2007  
  • Organizer MSRI semster program, December 30, 2006 - May 30, 2007  
  • MSRI: Mathematical Issues in Stochastic Approaches for Multiscale Modeling, May 21, 2007 - May 26, 2007  
  • Minisymposium, SIAM dynamical systems meeting, May, 2007  
  • MSRI: Stochastic Dynamical Systems and Control, March 26, 2007 - February 30, 2007  

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320