| Abstract: |
| We provide an analytic proof of celebrated relative density formulas of the invariant measures of the open KPZ equation with respect to white noise. The proof relies on a Girsanov transform, a time reversal and a subtle use of the theory of regularity structures to reconstruct the force of the solution to the KPZ equation at the boundary of the domain. This is joint work with A. Dunlap and Y. Gu. |
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