Department of Mathematics
 Search | Help | Login | printable version

Math @ Duke





.......................

.......................


Publications of Alexander J Dunlap    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. Dunlap, A; Gu, Y, Jointly stationary solutions of periodic Burgers flow, Journal of Functional Analysis, vol. 287 no. 12 (December, 2024), pp. 110656-110656, Elsevier BV [doi]
  2. Dunlap, A; Mourrat, J-C, Sum-of-norms clustering does not separate nearby balls, Journal of Machine Learning Research, vol. 25 no. 143 (April, 2024), pp. 1-40, Microtome Publishing  [abs]
  3. Dunlap, A; Gu, Y; Komorowski, T, Fluctuation exponents of the KPZ equation on a large torus, Communications on Pure and Applied Mathematics, vol. 76 no. 11 (November, 2023), pp. 3104-3149, Wiley [doi]  [abs]
  4. Drivas, TD; Dunlap, A; Graham, C; La, J; Ryzhik, L, Invariant measures for stochastic conservation laws on the line, Nonlinearity, vol. 36 no. 9 (September, 2023), pp. 4553-4594 [doi]  [abs]
  5. Dunlap, A; Gu, Y; Li, L, Localization length of the $1+1$ continuum directed random polymer, Annales Henri Poincaré, vol. 24 no. 7 (July, 2023), pp. 2537-2555, Springer Science and Business Media LLC [doi]  [abs]
  6. Dunlap, A; Mourrat, J-C, Local versions of sum-of-norms clustering, SIAM Journal on Mathematics of Data Science, vol. 4 no. 4 (December, 2022), pp. 1250-1271, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  7. Dunlap, A; Gu, Y, A forward-backward SDE from the 2D nonlinear stochastic heat equation, Annals of Probability, vol. 50 no. 3 (May, 2022), pp. 1204-1253, Institute of Mathematical Statistics [doi]  [abs]
  8. Dunlap, A; Gu, Y, A quenched local limit theorem for stochastic flows, Journal of Functional Analysis, vol. 282 no. 6 (March, 2022) [doi]  [abs]
  9. Dunlap, A; Gu, Y; Ryzhik, L; Zeitouni, O, The random heat equation in dimensions three and higher: the homogenization viewpoint, Archive for Rational Mechanics and Analysis, vol. 242 no. 2 (November, 2021), pp. 827-873, Springer Science and Business Media LLC [doi]
  10. Dunlap, A; Ryzhik, L, Viscous shock solutions to the stochastic Burgers equation, Archive for Rational Mechanics and Analysis, vol. 242 no. 2 (November, 2021), pp. 937-971 [doi]  [abs]
  11. Galvin, CJ; Liu, KN; Kennard, AS; Tembulkar, SK; Dunlap, A; Large, TAG; Pham, T; Le, D; Alvarez-Buylla, A; Nguyen, H; Ponce, E; Tran, S; Nguyen, N; Ngo, C; Tran, C; Huynh, G; Allamandola, P; Bryant, Z, Curiosity-based biophysics projects in a high school setting with graduate student mentorship, The Biophysicist, vol. 2 no. 1 (April, 2021), pp. 6-11, Biophysical Society [doi]
  12. Dunlap, A; Graham, C; Ryzhik, L, Stationary solutions to the stochastic burgers equation on the line, Communications in Mathematical Physics, vol. 382 no. 2 (March, 2021), pp. 875-949 [doi]  [abs]
  13. Ding, J; Dubédat, J; Dunlap, A; Falconet, H, Tightness of Liouville first passage percolation for $γ∈ (0 , 2)$, Publications Mathématiques de l'IHÉS, vol. 132 no. 1 (December, 2020), pp. 353-403, Springer [doi]  [abs]
  14. Dunlap, A, Existence of stationary stochastic Burgers evolutions on $\mathbf{R}^2$ and $\mathbf{R}^3$, Nonlinearity, vol. 33 no. 12 (October, 2020), pp. 6480-6501 [doi]  [abs]
  15. Dunlap, A, The continuum parabolic Anderson model with a half-Laplacian and periodic noise, Electronic Communications in Probability, vol. 25 no. none (September, 2020), pp. 1-14, Institute of Mathematical Statistics [doi]  [abs]
  16. Ding, J; Dunlap, A, Subsequential scaling limits for Liouville graph distance, Communications in Mathematical Physics, vol. 376 no. 2 (June, 2020), pp. 1499-1572 [doi]  [abs]
  17. Dunlap, A; Gu, Y; Ryzhik, L; Zeitouni, O, Fluctuations of the solutions to the KPZ equation in dimensions three and higher, Probability Theory and Related Fields, vol. 176 no. 3-4 (April, 2020), pp. 1217-1258, Springer Science and Business Media LLC [doi]  [abs]
  18. Chatterjee, S; Dunlap, A, Constructing a solution of the $(2+1)$-dimensional KPZ equation, Annals of Probability, vol. 48 no. 2 (March, 2020), pp. 1014-1055, Institute of Mathematical Statistics [doi]  [abs]
  19. Ding, J; Dunlap, A, Liouville first-passage percolation: Subsequential scaling limits at high temperature, Annals of Probability, vol. 47 no. 2 (January, 2019), pp. 690-742, Institute of Mathematical Statistics [doi]  [abs]

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320