Math @ Duke

Jonathan C. Mattingly, Professor of Mathematics and Statistical Science
 Contact Info:
 Office Hours:
 TBA
 Education:
PhD in Applied and Computational Mathematics  Princeton University  1998 
Auditor  ENS Lyon  1993 
BS in Applied Mathematics  Yale University  1992 
High School Diploma  NCSSM  1988 
 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)
 Jonathan C. Mattingly and Etienne Pardoux, Invariant measure selection by noise: An Example,
Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10
(2014),
pp. 42234257 [arXiv:1403.3593] [abs]
 Thomas Hotz, Sean Skwerer, Stephan Huckemann, Huiling Le, J. S. Marron, Jonathan C. Mattingly, Ezra Miller, James Nolen, Megan Owen, Vic Patrangenaru, Sticky central limit theorems on open books,
Ann. Appl. Probab., vol. 23 no. 6
(2013),
pp. 22382258 [arXiv:1202.4267] [abs]
 with Natesh S. Pillai, Andrew M. Stuart, Diffusion Limits of the Random Walk Metropolis Algorithm in High Dimensions,
Annals of Applied Probability
(June, 2011) [1003.4306] [abs]
 with Martin Hairer, Yet another look at Harris' ergodic theorem for Markov chains
(August, 2008) [arXiv:0810.2777] [abs]
 with David P. Herzog, NoiseInduced Stabilization of Planar Flows II
(Submitted, April, 2014) [arXiv:1404.0955]
 with David Anderson, A weak trapezoidal method for a class of stochastic differential equations,
Communications in Mathematical Sciences, vol. 9 no. 1
(March, 2011),
pp. 301  318 [0906.3475] [abs]
 with Martin Hairer, A Theory of Hypoellipticity and Unique Ergodicity for Semilinear Stochastic PDEs,
EJP, vol. 16 no. 23
(2011),
pp. 658–738 [arXiv:0808.1361], [getdoc.php]
 with Martin Hairer, Spectral gaps in Wasserstein distances and the 2D stochastic NavierStokes equations,
Annals of Probability no. 6
(2008),
pp. 9931032 [MR2478676], [math.PR/0602479] [abs]
 with David P. Herzog, NoiseInduced Stabilization of Planar Flows I
(Submitted, April, 2014) [arXiv:1404.0957]
 with Martin Hairer, Michael Scheutzow, Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations,
Probability Theory and related Fields
(2009) [MR2531551], [0902.4495] [abs]
 with Yuri Bakhtin, Tobias Hurth, Regularity of invariant densities for 1Dsystems with random switching
(Submitted, 2014) [arXiv:1406.5425] [abs]
 Hairer, Martin and Mattingly, Jonathan C., Slow energy dissipation in anharmonic oscillator chains,
Communications on Pure and Applied Mathematics, vol. 62 no. 8
(2008),
pp. 9991032, ISSN 00103640 [MR2531551], [arXiv:0712.3884] [abs]
 with Sean D. Lawley and Michael C. Reed, Stochastic switching in infinite dimensions with applications to random parabolic PDEs
(Submitted, 2014) [arXiv:1407.2264] [abs]
 with Mattingly, Jonathan C. and Stuart, Andrew M. and Tretyakov, M. V., Convergence of numerical timeaveraging and stationary measures via {P}oisson equations,
SIAM Journal on Numerical Analysis, vol. 48 no. 2
(2010),
pp. 552577, ISSN 00361429 [MR2669996], [0908.4450], [090770527] [abs]
 Mattingly, J. C. and Stuart, A. M. and Higham, D. J., Ergodicity for {SDE}s and approximations: locally Lipschitz vector fields and degenerate noise,
Stochastic Process. Appl., vol. 101 no. 2
(2002),
pp. 185232 [MR2003i:60103], [pdf] [abs]
 with Christy Vaughn, Redistricting and the Will of the People
(Preprint, October, 2014) [pdf] [abs]
 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]
 J.C. Mattingly, Exponential convergence for the stochastically forced NavierStokes equations and other partially dissipative dynamics,
Comm. Math. Phys., vol. 230 no. 3
(2002),
pp. 421462 [MR2004a:76039], [pdf]
 Martin Hairer, J.C. Mattingly, Ergodicity of the 2D NavierStokes Equations with Degenerate Stochastic Forcing,
Annals of Mathematics, vol. 164 no. 3
(November, 2006) [math.PR/0406087] [abs]
 W. E, J.C. Mattingly, Ya Sinai, Gibbsian dynamics and ergodicity for the stochastically forced NavierStokes equation,
Comm. Math. Phys., vol. 224 no. 1
(2001),
pp. 83106 (Dedicated to Joel L. Lebowitz.) [MR2002m:76024], [pdf]
 Recent Grant Support
 Multiscale Analysis of Dynamic Graphs, Office of Naval Research, N00014121060101, 2012/082015/07.
 EMSW21RTG: Enhanced Training and Recruitment in Mathematical Biology, National Science Foundation, DMS0943760, 2010/092014/08.
 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 277080320

