Math @ Duke

Papers Published
 Lu, J; Lu, Y; Nolen, J, Scaling limit of the Stein variational gradient descent: The mean field regime,
Siam Journal on Mathematical Analysis, vol. 51 no. 2
(January, 2019),
pp. 648671 [doi] [abs]
 Cristali, I; Ranjan, V; Steinberg, J; Beckman, E; Durrett, R; Junge, M; Nolen, J, Block size in geometric(P)biased permutations,
Electronic Communications in Probability, vol. 23
(January, 2018),
pp. 110, Institute of Mathematical Statistics [doi] [abs]
 Nolen, J; Roquejoffre, JM; Ryzhik, L, Refined longtime asymptotics for Fisher–KPP fronts,
Communications in Contemporary Mathematics
(January, 2018),
pp. 18500721850072, World Scientific Pub Co Pte Lt [doi] [abs]
 Mourrat, JC; Nolen, J, Scaling limit of the corrector in stochastic homogenization,
The Annals of Applied Probability, vol. 27 no. 2
(April, 2017),
pp. 944959, Institute of Mathematical Statistics, ISSN 10505164 [arXiv:1502.07440], [1502.07440], [doi] [abs]
 Nolen, J; Roquejoffre, JM; Ryzhik, L, Convergence to a single wave in the FisherKPP equation,
Chinese Annals of Mathematics, Series B, vol. 38 no. 2
(March, 2017),
pp. 629646, Springer Nature [1604.02994], [doi] [abs]
 Gloria, A; Nolen, J, A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus,
Communications on Pure and Applied Mathematics, vol. 69 no. 12
(December, 2016),
pp. 23042348, WILEY, ISSN 00103640 [cpa.21614], [doi] [abs]
 Hamel, F; Nolen, J; Roquejoffre, JM; Ryzhik, L, The logarithmic delay of KPP fronts in a periodic medium,
Journal of the European Mathematical Society, vol. 18 no. 3
(January, 2016),
pp. 465505, European Mathematical Publishing House [6173], [doi] [abs]
 Nolen, J, Normal approximation for the net flux through a random conductor,
Stochastics and Partial Differential Equations: Analysis and Computations, vol. 4 no. 3
(January, 2016),
pp. 439476, Springer Nature, ISSN 21940401 [2186], [doi] [abs]
 Bhamidi, S; Hannig, J; Lee, CY; Nolen, J, The importance sampling technique for understanding rare events in ErdősRényi random graphs,
Electronic Journal of Probability, vol. 20
(October, 2015), Institute of Mathematical Statistics [doi] [abs]
 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]
 Lu, J; Nolen, J, Reactive trajectories and the transition path process,
Probability Theory and Related Fields, vol. 161 no. 12
(February, 2015),
pp. 195244, Springer Science and Business Media LLC, ISSN 01788051 [doi]
 Nolen, J; Roquejoffre, JM; Ryzhik, L, PowerLike Delay in Time Inhomogeneous FisherKPP Equations,
Communications in Partial Differential Equations, vol. 40 no. 3
(January, 2015),
pp. 475505, Informa UK Limited, ISSN 03605302 [pdf], [doi] [abs]
 Huckemann, S; Mattingly, JC; Miller, E; Nolen, J, Sticky central limit theorems at isolated hyperbolic planar singularities,
Electronic Journal of Probability, vol. 20
(January, 2015), Institute of Mathematical Statistics [repository], [doi] [abs]
 J. Lu and J. Nolen, Reactive trajectories and the transition path process.,
Probability Theory and Related Fields
(January, 2014) [1744], [doi]
 Nolen, J, Normal approximation for a random elliptic equation,
Probability Theory and Related Fields, vol. 159 no. 34
(2013),
pp. 140, Springer Nature, ISSN 01788051 [pdf], [doi] [abs]
 Hotz, T; Huckemann, S; Le, H; Marron, JS; Mattingly, JC; Miller, E; Nolen, J; Owen, M; Patrangenaru, V; Skwerer, S, Sticky central limit theorems on open books,
The Annals of Applied Probability, vol. 23 no. 6
(2013),
pp. 22382258, Institute of Mathematical Statistics, ISSN 10505164 [12AAP899], [doi]
 Nolen, J; Pavliotis, GA; Stuart, AM, Multiscale modelling 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,
Lecture Notes in Computational Science and Engineering, vol. 83
(January, 2012),
pp. 134, Springer Berlin Heidelberg, ISBN 9783642220609 [2943], [doi] [abs]
 Hamel, F; Nolen, J; Roquejoffre, JM; Ryzhik, L, A short proof of the logarithmic Bramson correction in FisherKPP equations,
Networks and Heterogeneous Media, vol. 8 no. 1
(2012),
pp. 275289, American Institute of Mathematical Sciences (AIMS) [pdf], [doi]
 Matic, I; Nolen, J, A Sublinear Variance Bound for Solutions of a Random HamiltonJacobi Equation,
Journal of Statistical Physics, vol. 149 no. 2
(2012),
pp. 342361, Springer Nature, ISSN 00224715 [pdf], [doi] [abs]
 Nolen, J; Roquejoffre, JM; Ryzhik, L; Zlatoš, A, Existence and NonExistence of FisherKPP Transition Fronts,
Archive for Rational Mechanics and Analysis, vol. 203 no. 1
(2012),
pp. 217246, Springer Nature, ISSN 00039527 [2392], [doi] [abs]
 Mellet, A; Nolen, J, Capillary drops on a rough surface,
Interfaces and Free Boundaries, vol. 14 no. 2
(2012),
pp. 167184, European Mathematical Publishing House, ISSN 14639963 [doi] [abs]
 Nolen, J; Novikov, A, Homogenization of the Gequation with incompressible random drift in two dimensions,
Communications in Mathematical Sciences, vol. 9 no. 2
(January, 2011),
pp. 561582, International Press of Boston, ISSN 15396746 [pdf], [doi] [abs]
 Nolen, J, A central limit theorem for pulled fronts in a random medium,
Networks and Heterogeneous Media, vol. 6 no. 2
(2011),
pp. 167194, American Institute of Mathematical Sciences (AIMS), ISSN 15561801 [pdf], [doi] [abs]
 Nolen, J, An invariance principle for random traveling waves in one dimension,
Siam Journal on Mathematical Analysis, vol. 43 no. 1
(2011),
pp. 153188, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361410 [pdf], [doi] [abs]
 Cardaliaguet, P; Nolen, J; Souganidis, PE, Homogenization and Enhancement for the GEquation,
Archive for Rational Mechanics and Analysis, vol. 199 no. 2
(2011),
pp. 527561, Springer Nature, ISSN 00039527 [4160], [doi] [abs]
 Nolen, J; Xin, J; Yu, Y, Bounds on front speeds for inviscid and viscous Gequations,
Methods and Applications of Analysis, vol. 16 no. 4
(December, 2009) [pdf]
 Nolen, J; Papanicolaou, G, Fine scale uncertainty in parameter estimation for elliptic equations,
Inverse Problems, vol. 25 no. 11
(November, 2009),
pp. 115021115021, IOP Publishing, ISSN 02665611 [pdf], [doi] [abs]
 Nolen, J; Xin, J, KPP fronts in a onedimensional random drift,
Discrete and Continuous Dynamical Systems Series B, vol. 11 no. 2
(2009),
pp. 421442, American Institute of Mathematical Sciences (AIMS), ISSN 15313492 [doi] [abs]
 Nolen, J; Xin, J, Asymptotic spreading of KPP reactive fronts in incompressible spacetime random flows,
Annales De L'Institut Henri Poincare (C) Non Linear Analysis, vol. 26 no. 3
(2009),
pp. 815839, Elsevier BV, ISSN 02941449 [pdf], [doi] [abs]
 Nolen, J; Ryzhik, L, Traveling waves in a onedimensional heterogeneous medium,
Annales De L'Institut Henri Poincare (C) Non Linear Analysis, vol. 26 no. 3
(2009),
pp. 10211047, Elsevier BV, ISSN 02941449 [pdf], [doi] [abs]
 Mellet, A; Nolen, J; Roquejoffre, JM; Ryzhik, L, Stability of generalized transition fronts,
Communications in Partial Differential Equations, vol. 34 no. 6
(2009),
pp. 521552, Informa UK Limited, ISSN 03605302 [pdf], [doi] [abs]
 Nolen, J; Xin, J, KPP Fronts in 1D Random Drift,
Discrete and Continuous Dynamical Systems B, vol. 11 no. 2
(2009) [pdf]
 Nolen, J; Xin, J, Variational principle and reactiondiffusion front speeds in random flows,
Iciam07 Proceedings
(December, 2008),
pp. 10407011040702
 Nolen, J; Xin, J, Computing reactive front speeds in random flows by variational principle,
Physica D: Nonlinear Phenomena, vol. 237 no. 23
(2008),
pp. 31723177, Elsevier BV, ISSN 01672789 [024], [doi] [abs]
 Nolen, J; Papanicolaou, G; Pironneau, O, A framework for adaptive multiscale methods for elliptic problems,
Multiscale Modeling & Simulation, vol. 7 no. 1
(2008),
pp. 171196, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [pdf], [doi] [abs]
 Nolen, J; Xin, J, 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]
 Nolen, J; Xin, J, 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 Series A, vol. 13 no. 5
(December, 2005),
pp. 12171234, American Institute of Mathematical Sciences (AIMS) [pdf], [doi] [abs]
 Nolen, J; Rudd, M; Xin, J, Existence of KPP fronts in spatiallytemporally periodic advection and variational principle for propagation speeds,
Dynamics of Pde, vol. 2
(2005),
pp. 124 [pdf]
 Nolen, J; Xin, J, A variational principle based study of KPP minimal front speeds in random shears,
Nonlinearity, vol. 18 no. 4
(2005),
pp. 16551675, IOP Publishing [4], [doi] [abs]
 Boye, DM; Valdes, TS; Nolen, JH; Silversmith, AJ; Brewer, KS; Anderman, RE; Meltzer, RS, Transient and persistent spectral hole burning in Eu3+doped solgel produced SiO2 glass,
Journal of Luminescence, vol. 108 no. 14
(June, 2004),
pp. 4347, Elsevier BV [008], [doi] [abs]
 Nolen, J; Xin, J, MinMax Variational Principles and Fronts Speeds in Random Shear Flows,
Methods and Applications of Analysis, vol. 11 no. 4
(2004),
pp. 635644 [pdf]
 Nolen, J; Xin, J, Reactiondiffusion front speeds in spatiallytemporally periodic shear flows,
Multiscale Modeling & Simulation, vol. 1 no. 4
(January, 2003),
pp. 554570, Society for Industrial & Applied Mathematics (SIAM) [4], [doi] [abs]
 Boye, DM; Silversmith, AJ; Nolen, J; Rumney, L; Shaye, D; Smith, BC; Brewer, KS, Redtogreen upconversion in Erdoped SiO2 and SiO2TiO2 solgel silicate glasses,
Journal of Luminescence, vol. 9495
(December, 2001),
pp. 279282, Elsevier BV, ISSN 00222313 [S00222313(01)003015], [doi] [abs]
Papers Submitted
 J. Nolen, J.M. Roquejoffre, L. Ryzhik, Refined long time asymptotics for the FisherKPP equation
(2015) [pdf]


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Mathematics Department
Duke University, Box 90320
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