3 papers
math.PR2025
Convergence to stationary measures for the half-space log-gamma polymer
Sayan Das, Christian Serio
We consider the point-to-point half-space log-gamma polymer model in the unbound phase. We prove that the free energy increment process on the anti-diagonal path converges to the t…
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…
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…