Math @ Duke

Papers Published
 J. Lu and J. Nolen, Reactive trajectories and the transition path process.,
Probability Theory and Related Fields
(January, 2014) [1744], [doi]
 J. Nolen, Normal approximation for a random elliptic equation,
Probability Theory and Related Fields, vol. 159 no. 3
(2014),
pp. 661700 [pdf], [doi]
 F. Hamel, J. Nolen, J.M. Roquejoffre, L. Ryzhik, A short proof of the logarithmic Bramson correction in FisherKPP equations,
Networks and Heterogeneous Media, vol. 8 no. 1
(2013),
pp. 275289 [pdf], [doi]
 T. Hotz, S. Huckemann, H. Le, J. Marron, J. Mattingly, E. Miller, J. Nolen, M. Owen, V. Patrangenaru, S. Skwere, Sticky central limit theorem on open books,
Annals of Applied Probability, vol. 23 no. 6
(2013),
pp. 22382258 [4267], [doi]
 A. Mellet and J. Nolen, Capillary drops on a rough surface,
Interfaces and Free Boundaries, vol. 14
(2012),
pp. 167184 [doi]
 J. Nolen, G. Pavliotis, A. Stuart, Multiscale modeling and inverse problems,
in Numerical Analysis of Multiscale Problems, Lecture Notes in Computational Science and Engineering, edited by I.G. Graham, T.Y. Hou, O. Lakkis and R. Scheichl
(2012), Springer [2943]
 J. Nolen, J.M. Roquejoffre, L. Ryzhik, A. Zlatos, Existence and nonexistence of FisherKPP transition fronts,
Archive for Rational Mechanics and Analysis, vol. 203 no. 1
(2012),
pp. 217246 [2392], [doi]
 I. Matic and J. Nolen, A sublinear variance bound for solutions of a random HamiltonJacobi equation,
Journal of Statistical Physics, vol. 149 no. 2
(2012),
pp. 342361 [pdf], [doi]
 J. Nolen, An invariance principle for random traveling waves in one dimension,
SIAM Journal on Mathematical Analysis, vol. 43 no. 1
(2011),
pp. 153188 [pdf], [doi]
 P. Cardaliaguet, J. Nolen, P.E. Souganidis, Homogenization and enhancement for the Gequation,
Archive for Rational Mechanics and Analysis, vol. 199 no. 2
(2011),
pp. 527561 [4160]
 J. Nolen and A. Novikov, Homogenization of the Gequation with incompressible random drift in two dimensions,
Communications in Mathematical Sciences, vol. 9 no. 2
(2011),
pp. 561582 [pdf]
 J. Nolen, A central limit theorem for pulled fronts in a random medium,
Networks and Heterogeneous Media, vol. 6 no. 2
(2011),
pp. 167194 [pdf], [doi]
 J. Nolen, J. Xin, and Y. Yu, Bounds on front speeds for inviscid and viscous Gequations,
Methods and Applications of Analysis, vol. 16 no. 4
(December, 2009) [pdf]
 J. Nolen and J. Xin, Asymptotic Spreading of KPP Reactive Fronts in Incompressible SpaceTime Random Flows,
Annales de l'institut Henri Poincare  Analyse Non Lineaire, vol. 26 no. 3
(2009),
pp. 815839 [pdf]
 J. Nolen and L. Ryzhik, Traveling waves in a onedimensional heterogeneous medium,
Annales de l'institut Henri Poincare  Analyse Non Lineaire, vol. 26 no. 3
(2009),
pp. 10211047 [pdf]
 J. Nolen and G. Papanicolaou, Fine scale uncertainty in parameter estimation for elliptic equations,
Inverse Problems, vol. 25 no. 11
(2009) [pdf], [doi]
 J. Nolen and J. Xin, KPP Fronts in 1D Random Drift,
Discrete and Continuous Dynamical Systems B, vol. 11 no. 2
(2009) [pdf]
 A. Mellet, J. Nolen, J.M. Roquejoffre, and L. Ryzhik, Stability of generalized transition fronts,
Comm. PDE, vol. 34 no. 6
(2009),
pp. 521552 [pdf]
 J. Nolen and J. Xin, Variational principle and reactiondiffusion front speeds in random flows,
ICIAM07Proceedings
(December, 2008),
pp. 10407011040702
 J. Nolen, G. Papanicolaou, O. Pironneau, A Framework for Adaptive Multiscale Methods for Elliptic Problems,
SIAM Multiscale Modeling and Simulation, vol. 7
(2008),
pp. 171196, SIAM [pdf]
 J. Nolen and J. Xin, Computing reactive front speeds in random flows by variational principle,
Physica D, vol. 237
(2008),
pp. 31723177 [024]
 J. Nolen and J. Xin, Variational Principle of KPP Front Speeds in Temporally Random Shear Flows with Applications,
Communications in Mathematical Physics, vol. 269
(2007),
pp. 493532 [pdf]
 J. Nolen and J. Xin, A Variational Principle Based Study of KPP Minimal Front Speeds in Random Shears,
Nonlinearity, vol. 18
(2005),
pp. 16551675 [4]
 J. Nolen and J. Xin, Existence of KPP Type Fronts in SpaceTime Periodic Shear Flows and a Study of Minimal Speeds Based on Variational Principle,
Discrete and Continuous Dynamical Systems, vol. 13 no. 5
(2005),
pp. 12171234 [pdf]
 J. Nolen, M. Rudd, and J. Xin, Existence of KPP fronts in spatiallytemporally periodic advection and variational principle for propagation speeds,
Dynamics of PDE, vol. 2
(2005),
pp. 124 [pdf]
 D.M. Boye, T.S. Valdes, J.H. Nolen, A.J. Silversmith, K.S. Brewer, R.E. Anderman, R.S. Meltzer, Transient and persistent spectral hole burning in Eudoped solgel produced SiO2 glass,
Journal of Luminescence, vol. 108
(June, 2004),
pp. 4347 [008]
 J. Nolen and J. Xin, MinMax Variational Principles and Fronts Speeds in Random Shear Flows,
Methods and Applications of Analysis, vol. 11 no. 4
(2004),
pp. 635644 [pdf]
 D.M. Boye, A.J. Silversmith, J. Nolen, L. Rumney, D. Shaye, B.C. Smith, and K.S. Brewer, Redtogreen upconversion in Erdoped SiO2 and SiO2TiO2 solgel silicate glasses,
Journal of Luminescence, vol. 9495
(December, 2001),
pp. 279282 [S00222313(01)003015]
Papers Accepted
 J. Nolen, J.M. Roqujoffre, L. Ryzhik, Powerlike delay in time inhomogeneous FisherKPP equations,
Communications in Partial Differential Equations
(2014) [pdf]
Papers Submitted
 J. Nolen, Normal approximation for the net flux through a random conductor
(2014) [2186]
 S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in ErdősRényi random graphs
(2013) [6551]
 F. Hamel, J. Nolen, J.M. Roquejoffre, L. Ryzhik, The logarithmic delay of KPP fronts in a periodic medium
(2012) [6173]


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ph: 919.660.2800
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Mathematics Department
Duke University, Box 90320
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