Alexander J Dunlap

Alexander J Dunlap is an Assistant Professor of Mathematics at Duke University, affiliated with the Department of Mathematics. His research primarily focuses on stochastic partial differential equations (SPDE), with specific interests in SPDE in critical and super-critical settings, ergodic theory of the stochastic Burgers equation, and Liouville quantum gravity metric. Dunlap's work includes recent publications on topics such as viscous shock fluctuations in KPZ and simultaneous global inviscid Burgers flows with periodic Poisson forcing. He is also supported by a National Science Foundation grant on stochastic partial differential equations. His personal website can be accessed at https://scholars.duke.edu/person/alexander.dunlap.

Alexander Dunlap is a researcher at Duke University specializing in probability theory and partial differential equations. His work focuses on stochastic processes, including the KPZ equation, stochastic Burgers equation, and Liouville first passage percolation. Dunlap's research explores the behavior of solutions to these equations in higher dimensions, their fluctuations, and their connections to random media. He has contributed to understanding the scaling limits, invariant measures, and homogenization of stochastic partial differential equations. His studies often intersect with topics such as random heat equations, viscous shocks, and decoupling functions in stochastic systems.