Alexander J Dunlap, Assistant Professor

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.

Office Location:	120 Science Dr, Physics 297, Durham, NC 27708
Email Address:
Web Page:	http://services.math.duke.edu/~ajd91

Teaching (Fall 2024):

• MATH 790-90.04, MINICOURSE IN ADVANCED TOPICS Synopsis

  LSRC D243, WF 10:05 AM-11:20 AM

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

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]  [abs]
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]

Recent Grant Support

• Stochastic partial differential equations: the critical dimension and invariant measures, National Science Foundation, 2024/09-2027/08.