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math.PR2026
The Laplace transform of the stationary measure of the open KPZ equation in the shock region
Zoe Himwich, Yizao Wang
The stationary increment measure of the open Kardar-Parisi-Zhang equation on a bounded interval can be represented as the independent sum of a Brownian motion and another process d…
math.PR2026
Temperature chaos in directed polymers
Shirshendu Ganguly, Victor Ginsburg, Zoe Himwich
Disordered systems such as spin glasses and polymers characteristically exhibit random energy landscapes with many macroscopically separated energetic valleys corresponding to near…
math.PR2026
Rising GUE Eigenvalue Process from a Fixed Level
Zoe Himwich
We construct the multilevel correlation kernel for the rising GUE eigenvalue process starting from a fixed initial configuration , and show that it converges on short time…