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math.PR2025
Invariant measures for the open KPZ equation: an analytic perspective
Alexander Dunlap, Yu Gu, Tommaso Rosati
The ergodic theory of the open KPZ equation has seen significant progress in recent years, with explicit invariant measures described in a series of works by Corwin--Knizel, Barraq…
math.PR2024
Jointly stationary solutions of periodic Burgers flow
Alexander Dunlap, Yu Gu
For the one dimensional Burgers equation with a random and periodic forcing, it is well-known that there exists a family of invariant measures, each corresponding to a different av…