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math.PR2025
Absolute continuity of non-Gaussian and Gaussian multiplicative chaos measures
Yujin H. Kim, Xaver Kriechbaum
In this article, we consider the multiplicative chaos measure associated to the log-correlated random Fourier series, or random wave model, with i.i.d. coefficients taken from a ge…
math.PR2025
Scaling limit and tail bounds for a random walk model of SOS level lines
Milind Hegde, Yujin H. Kim, Christian Serio
This paper analyzes a random walk model for the level lines appearing in the entropic repulsion phenomena of three-dimensional discrete random interfaces above a hard wall; we are…