Math @ Duke
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Alexander J Dunlap, Assistant Professor
![Alexander J Dunlap](https://fds.duke.edu/photos/fac/u24196.png) My research is primarily in the area of stochastic partial differential equations (SPDE). Some specific topics of recent interest:
- SPDE in "critical" (scale-invariant) and "super-critical" (high-dimensional) settings.
- Ergodic theory of the stochastic Burgers equation.
In the past I have also worked on the Liouville quantum gravity metric.- Contact Info:
- Office Hours:
- Tuesday 16:30-17:30
Wednesday 15:00-16:30 and by appointment
- Education:
Ph.D. | Stanford University | 2020 |
- Keywords:
- Stochastic partial differential equations
- Recent Publications
(More Publications)
- 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]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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