Publications of James H. Nolen

Papers Published

  1. Iyer, G; Lu, E; Nolen, J, USING BERNOULLI MAPS TO ACCELERATE MIXING OF A RANDOM WALK ON THE TORUS, Quarterly of Applied Mathematics, vol. 82 no. 2 (January, 2024), pp. 359-390, American Mathematical Society (AMS)
  2. Tough, O; Nolen, J, The Fleming-Viot Process with McKean-Vlasov Dynamics, Electronic Journal of Probability, vol. 27 (August, 2022), pp. 1-72, Institute of Mathematical Statistics
  3. Berestycki, J; Brunet, E; Nolen, J; Penington, S, Brownian bees in the infinite swarm limit, Annals of Probability, vol. 50 no. 6 (2022), pp. 2133-2177, Institute of Mathematical Statistics
  4. Berestycki, J; Brunet, É; Nolen, J; Penington, S, A free boundary problem arising from branching Brownian motion with selection, Transactions of the American Mathematical Society, vol. 374 no. 9 (May, 2021), pp. 6269-6329, American Mathematical Society (AMS)
  5. Lim, TS; Lu, Y; Nolen, JH, Quantitative propagation of chaos in a bimolecular chemical reaction-diffusion model, SIAM Journal on Mathematical Analysis, vol. 52 no. 2 (January, 2020), pp. 2098-2133
  6. Hebbar, P; Koralov, L; Nolen, J, Asymptotic behavior of branching diffusion processes in periodic media, Electronic Journal of Probability, vol. 25 (January, 2020), pp. 1-40
  7. Nolen, JH; Cohn, S; Iyer, G; Pego, R, Anomalous diffusion in comb-shaped domains and graphs, Communications in Mathematical Sciences, vol. 18 no. 7 (2020), pp. 1815-1862, International Press
  8. Nolen, J; Roquejoffre, J-M; Ryzhik, L, Refined long-time asymptotics for Fisher–KPP fronts, Communications in Contemporary Mathematics, vol. 21 no. 07 (November, 2019), pp. 1850072-1850072, World Scientific Pub Co Pte Lt
  9. Henderson, NT; Pablo, M; Ghose, D; Clark-Cotton, MR; Zyla, TR; Nolen, J; Elston, TC; Lew, DJ, Ratiometric GPCR signaling enables directional sensing in yeast., PLoS Biol, vol. 17 no. 10 (October, 2019), pp. e3000484
  10. 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. 648-671, Society for Industrial and Applied Mathematics
  11. Lu, Y; Lu, J; Nolen, J, Accelerating Langevin Sampling with Birth-death (2019)
  12. Nolen, JH; Cristali, I; Ranjan, V; Steinberg, J; Beckman, E; Durrett, R; Junge, M, Block size in Geometric(p)-biased permutations, Electronic Communications in Probability, vol. 23 (2018), pp. 1-10, Institute of Mathematical Statistics
  13. Nolen, J; Mourrat, J-C, Scaling limit of the corrector in stochastic homogenization, Annals of Applied Probability, vol. 27 no. 2 (2017), pp. 944-959, Institute of Mathematical Statistics (IMS), ISSN 1050-5164
  14. Nolen, J; Roquejoffre, J-M; Ryzhik, L, Convergence to a single wave in the Fisher-KPP equation, Chinese Annals of Mathematics, Series B, vol. 38 no. 2 (2017), pp. 629-646, Springer Nature
  15. 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. 465-505, European Mathematical Publishing House
  16. Bhamidi, S; Hannig, J; Lee, CY; Nolen, J, The importance sampling technique for understanding rare events in Erdős-Rényi random graphs, Electronic Journal of Probability, vol. 20 (October, 2015), Institute of Mathematical Statistics
  17. S. Bhamidi, J. Hannig, C. Lee, J. Nolen, The importance sampling technique for understanding rare events in Erdős-Rényi random graphs, Electronic Journal of Probability (October, 2015)
  18. Nolen, J; Roquejoffre, JM; Ryzhik, L, Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations, Communications in Partial Differential Equations, vol. 40 no. 3 (March, 2015), pp. 475-505, Informa UK Limited, ISSN 0360-5302
  19. Lu, J; Nolen, J, Reactive trajectories and the transition path process, Probability Theory and Related Fields, vol. 161 no. 1-2 (February, 2015), pp. 195-244, Springer Science and Business Media LLC, ISSN 0178-8051
  20. Huckemann, S; Mattingly, JC; Miller, E; Nolen, J, Sticky central limit theorems at isolated hyperbolic planar singularities, Electronic Journal of Probability, vol. 20 (2015), pp. 1-34, Institute of Mathematical Statistics
  21. Nolen, J, Normal approximation for the net flux through a random conductor, Stochastic Partial Differential Equations: Analysis and Computations, vol. 4 no. 3 (2015), pp. 439-476, Springer Nature, ISSN 2194-0401
  22. 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 (2015), pp. 2304-2348, WILEY, ISSN 0010-3640
  23. J. Lu and J. Nolen, Reactive trajectories and the transition path process., Probability Theory and Related Fields (January, 2014)
  24. Nolen, J, Normal approximation for a random elliptic equation, Probability Theory and Related Fields, vol. 159 no. 3-4 (2013), pp. 1-40, Springer Nature, ISSN 0178-8051
  25. 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. 2238-2258, Institute of Mathematical Statistics, ISSN 1050-5164
  26. 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. 1-34, Springer Berlin Heidelberg, ISBN 9783642220609
  27. Hamel, F; Nolen, J; Roquejoffre, JM; Ryzhik, L, A short proof of the logarithmic Bramson correction in Fisher-KPP equations, Networks and Heterogeneous Media, vol. 8 no. 1 (2012), pp. 275-289, American Institute of Mathematical Sciences (AIMS)
  28. Matic, I; Nolen, J, A Sublinear Variance Bound for Solutions of a Random Hamilton-Jacobi Equation, Journal of Statistical Physics, vol. 149 no. 2 (2012), pp. 342-361, Springer Nature, ISSN 0022-4715
  29. Nolen, J; Roquejoffre, JM; Ryzhik, L; Zlatoš, A, Existence and Non-Existence of Fisher-KPP Transition Fronts, Archive for Rational Mechanics and Analysis, vol. 203 no. 1 (2012), pp. 217-246, Springer Nature, ISSN 0003-9527
  30. Mellet, A; Nolen, J, Capillary drops on a rough surface, Interfaces and Free Boundaries, vol. 14 no. 2 (2012), pp. 167-184, European Mathematical Publishing House, ISSN 1463-9963
  31. Nolen, J; Novikov, A, Homogenization of the G-equation with incompressible random drift in two dimensions, Communications in Mathematical Sciences, vol. 9 no. 2 (January, 2011), pp. 561-582, International Press of Boston, ISSN 1539-6746
  32. Nolen, J, A central limit theorem for pulled fronts in a random medium, Networks and Heterogeneous Media, vol. 6 no. 2 (2011), pp. 167-194, American Institute of Mathematical Sciences (AIMS), ISSN 1556-1801
  33. Nolen, J, An invariance principle for random traveling waves in one dimension, SIAM Journal on Mathematical Analysis, vol. 43 no. 1 (2011), pp. 153-188, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1410
  34. Cardaliaguet, P; Nolen, J; Souganidis, PE, Homogenization and Enhancement for the G-Equation, Archive for Rational Mechanics and Analysis, vol. 199 no. 2 (2011), pp. 527-561, Springer Nature, ISSN 0003-9527
  35. Nolen, J; Xin, J; Yu, Y, Bounds on front speeds for inviscid and viscous G-equations, Methods and Applications of Analysis, vol. 16 no. 4 (December, 2009)
  36. Nolen, J; Papanicolaou, G, Fine scale uncertainty in parameter estimation for elliptic equations, Inverse Problems, vol. 25 no. 11 (November, 2009), pp. 115021-115021, IOP Publishing, ISSN 0266-5611
  37. Nolen, J; Xin, J, KPP fronts in a one-dimensional random drift, Discrete and Continuous Dynamical Systems - Series B, vol. 11 no. 2 (2009), pp. 421-442, American Institute of Mathematical Sciences (AIMS), ISSN 1531-3492
  38. Nolen, J; Xin, J, Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows, Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 26 no. 3 (2009), pp. 815-839, Elsevier BV, ISSN 0294-1449
  39. Nolen, J; Ryzhik, L, Traveling waves in a one-dimensional heterogeneous medium, Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 26 no. 3 (2009), pp. 1021-1047, Elsevier BV, ISSN 0294-1449
  40. Mellet, A; Nolen, J; Roquejoffre, JM; Ryzhik, L, Stability of generalized transition fronts, Communications in Partial Differential Equations, vol. 34 no. 6 (2009), pp. 521-552, Informa UK Limited, ISSN 0360-5302
  41. Nolen, J; Xin, J, KPP Fronts in 1D Random Drift, Discrete and Continuous Dynamical Systems B, vol. 11 no. 2 (2009)
  42. Nolen, J; Xin, J, Variational principle and reaction-diffusion front speeds in random flows, ICIAM07-Proceedings (December, 2008), pp. 1040701-1040702
  43. Nolen, J; Xin, J, Computing reactive front speeds in random flows by variational principle, Physica D: Nonlinear Phenomena, vol. 237 no. 23 (2008), pp. 3172-3177, Elsevier BV, ISSN 0167-2789
  44. Nolen, J; Papanicolaou, G; Pironneau, O, A framework for adaptive multiscale methods for elliptic problems, Multiscale Modeling and Simulation, vol. 7 no. 1 (2008), pp. 171-196, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459
  45. 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. 493-532, ISSN 0010-3616
  46. Nolen, J; Xin, J, Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle, Discrete and Continuous Dynamical Systems, vol. 13 no. 5 (January, 2005), pp. 1217-1234, American Institute of Mathematical Sciences (AIMS)
  47. Nolen, J; Rudd, M; Xin, J, Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds, Dynamics of PDE, vol. 2 (2005), pp. 1-24
  48. Nolen, J; Xin, J, A variational principle based study of KPP minimal front speeds in random shears, Nonlinearity, vol. 18 no. 4 (2005), pp. 1655-1675, IOP Publishing
  49. Boye, DM; Valdes, TS; Nolen, JH; Silversmith, AJ; Brewer, KS; Anderman, RE; Meltzer, RS, Transient and persistent spectral hole burning in Eu3+-doped sol-gel produced SiO2 glass, Journal of Luminescence, vol. 108 no. 1-4 (June, 2004), pp. 43-47, Elsevier BV
  50. Nolen, J; Xin, J, Min-Max Variational Principles and Fronts Speeds in Random Shear Flows, Methods and Applications of Analysis, vol. 11 no. 4 (2004), pp. 635-644
  51. Nolen, J; Xin, J, Reaction-diffusion front speeds in spatially-temporally periodic shear flows, Multiscale Modeling and Simulation, vol. 1 no. 4 (January, 2003), pp. 554-570, Society for Industrial & Applied Mathematics (SIAM)
  52. Boye, DM; Silversmith, AJ; Nolen, J; Rumney, L; Shaye, D; Smith, BC; Brewer, KS, Red-to-green up-conversion in Er-doped SiO2 and SiO2-TiO2 sol-gel silicate glasses, Journal of Luminescence, vol. 94-95 (December, 2001), pp. 279-282, Elsevier BV, ISSN 0022-2313

Papers Submitted

  1. J. Nolen, J.-M. Roquejoffre, L. Ryzhik, Refined long time asymptotics for the Fisher-KPP equation (2015)