Math @ Duke

Papers Published
 J Nolen, JM Roquejoffre and L Ryzhik, Convergence to a single wave in the FisherKPP equation
(June, 2016) [1604.02994]
 S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in ErdősRényi random graphs,
Electronic Journal of Probability
(October, 2015) [2696], [doi]
 J Nolen, JM Roquejoffre and L Ryzhik, PowerLike Delay in Time Inhomogeneous FisherKPP Equations,
Communications in Partial Differential Equations, vol. 40 no. 3
(2015),
pp. 475505, ISSN 03605302 [pdf], [doi]
 J Lu and J Nolen, Reactive trajectories and the transition path process,
Probability Theory and Related Fields, vol. 161 no. 12
(February, 2015),
pp. 195244, ISSN 01788051 [doi]
 S Huckemann, J Mattingly, E Miller and J Nolen, Sticky central limit theorems at isolated hyperbolic planar singularities,
Electronic Journal of Probability, vol. 20
(July, 2015) [repository], [doi]
 S Bhamidi, J Hannig, CY Lee and J Nolen, The importance sampling technique for understanding rare events in Erdős–Rényi random graphs,
Electronic Journal of Probability, vol. 20
(2015) [doi]
 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. 34
(2014),
pp. 661700, ISSN 01788051 [pdf], [doi] [abs]
 T Hotz, S Huckemann, H Le, JS Marron, JC Mattingly, E Miller, J Nolen, M Owen, V Patrangenaru and S Skwerer, Sticky central limit theorems on open books,
The Annals of Applied Probability, vol. 23 no. 6
(2013),
pp. 22382258, ISSN 10505164 [12AAP899], [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]
 F Hamel, J Nolen, JM Roquejoffre and 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]
 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, ISSN 00224715 [pdf], [doi] [abs]
 J Nolen, JM Roquejoffre, L Ryzhik and A Zlatoš, Existence and NonExistence of FisherKPP Transition Fronts,
Archive for Rational Mechanics and Analysis, vol. 203 no. 1
(2012),
pp. 217246, ISSN 00039527 [2392], [doi] [abs]
 A Mellet and J Nolen, Capillary drops on a rough surface,
Interfaces and Free Boundaries, vol. 14 no. 2
(2012),
pp. 167184, ISSN 14639963 [doi] [abs]
 J Nolen, A central limit theorem for pulled fronts in a random medium,
Networks and Heterogeneous Media, vol. 6 no. 2
(2011),
pp. 167194, ISSN 15561801 [pdf], [doi] [abs]
 J Nolen, An invariance principle for random traveling waves in one dimension,
SIAM Journal on Mathematical Analysis, vol. 43 no. 1
(2011),
pp. 153188, ISSN 00361410 [pdf], [doi] [abs]
 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, ISSN 15396746 [pdf] [abs]
 P Cardaliaguet, J Nolen and PE Souganidis, Homogenization and Enhancement for the GEquation,
Archive for Rational Mechanics and Analysis, vol. 199 no. 2
(2011),
pp. 527561, ISSN 00039527 [4160], [doi] [abs]
 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, KPP fronts in a onedimensional random drift,
Discrete and Continuous Dynamical Systems  Series B, vol. 11 no. 2
(2009),
pp. 421442, ISSN 15313492 [doi] [abs]
 J Nolen and G Papanicolaou, Fine scale uncertainty in parameter estimation for elliptic equations,
Inverse Problems, vol. 25 no. 11
(2009), ISSN 02665611 [pdf], [doi] [abs]
 J Nolen and J Xin, Asymptotic spreading of KPP reactive fronts in incompressible spacetime random flows,
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 26 no. 3
(2009),
pp. 815839, ISSN 02941449 [pdf], [doi] [abs]
 J Nolen and L Ryzhik, Traveling waves in a onedimensional heterogeneous medium,
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 26 no. 3
(2009),
pp. 10211047, ISSN 02941449 [pdf], [doi] [abs]
 A Mellet, J Nolen, JM Roquejoffre and L Ryzhik, Stability of generalized transition fronts,
Communications in Partial Differential Equations, vol. 34 no. 6
(2009),
pp. 521552, ISSN 03605302 [pdf], [doi] [abs]
 J Nolen and J Xin, KPP Fronts in 1D Random Drift,
Discrete and Continuous Dynamical Systems B, vol. 11 no. 2
(2009) [pdf]
 J Nolen and J Xin, Variational principle and reactiondiffusion front speeds in random flows,
ICIAM07Proceedings
(December, 2008),
pp. 10407011040702
 J Nolen and J Xin, Computing reactive front speeds in random flows by variational principle,
Physica D: Nonlinear Phenomena, vol. 237 no. 23
(2008),
pp. 31723177, ISSN 01672789 [024], [doi] [abs]
 J Nolen, G Papanicolaou and O Pironneau, A framework for adaptive multiscale methods for elliptic problems,
Multiscale Modeling and Simulation, vol. 7 no. 1
(2008),
pp. 171196, SIAM, ISSN 15403459 [pdf], [doi] [abs]
 J Nolen and J Xin, Variational Principle of KPP Front Speeds in Temporally Random Shear Flows with Applications,
Communications in Mathematical Physics, vol. 269 no. 2
(2007),
pp. 493532, ISSN 00103616 [pdf], [doi] [abs]
 J Nolen and J Xin, A variational principle for KPP front speeds in temporally random shear flows,
Communications in Mathematical Physics, vol. 269 no. 2
(2007),
pp. 493532, ISSN 00103616 [doi] [abs]
 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]
 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] [abs]
 J Nolen and J Xin, A variational principle based study of KPP minimal front speeds in random shears,
Nonlinearity, vol. 18 no. 4
(2005),
pp. 16551675 [4], [doi] [abs]
 DM Boye, TS Valdes, JH Nolen, AJ Silversmith, KS Brewer, RE Anderman and RS Meltzer, Transient and persistent spectral hole burning in Eu^{3+}doped solgel produced SiO_{2} glass,
Journal of Luminescence, vol. 108 no. 14
(June, 2004),
pp. 4347 [008], [doi] [abs]
 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]
 DM Boye, AJ Silversmith, J Nolen, L Rumney, D Shaye, BC Smith and KS Brewer, Redtogreen upconversion in Erdoped SiO_{2} and SiO_{2}TiO_{2} solgel silicate glasses,
Journal of Luminescence, vol. 9495
(December, 2001),
pp. 279282, ISSN 00222313 [S00222313(01)003015], [doi] [abs]
Papers Accepted
 A Gloria and J Nolen, A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus,
Communications on Pure and Applied Mathematics
(2015),
pp. n/an/a, ISSN 00103640 [cpa.21614], [doi]
 F. Hamel, J. Nolen, J.M. Roquejoffre, L. Ryzhik, The logarithmic delay of KPP fronts in a periodic medium,
Journal of the European Mathematical Society
(2015) [6173]
 J Nolen, Normal approximation for the net flux through a random conductor,
Stochastic Partial Differential Equations: Analysis and Computations
(2015), ISSN 21940401 [2186], [doi]
Papers Submitted
 J Nolen and JC Mourrat, Scaling limit of the corrector in stochastic homogenization,
Annals of Applied Probability
(2016), Institute of Mathematical Statistics (IMS), ISSN 10505164 [arXiv:1502.07440], [1502.07440]
 J. Nolen, J.M. Roquejoffre, L. Ryzhik, Refined long time asymptotics for the FisherKPP equation
(2015) [pdf]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

