2 papers
math.PR2025
The half-space KPZ line ensemble and its scaling limit
Sayan Das, Christian Serio
For each , , we show that there exists a unique -indexed line ensemble of random continuous curves with t…
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…