Math @ Duke
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Papers Published
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- Dunlap, A; Gu, Y, A quenched local limit theorem for stochastic flows,
Journal of Functional Analysis, vol. 282 no. 6
(March, 2022) [doi] [abs]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
- 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]
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ph: 919.660.2800
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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