3 papers
math.PR2026
Oriented planar maps and annular mating of trees
Xingjian Di, Nina Holden, Zhenfeng Tu +1
We study a class of oriented annular planar maps which are closely related to bipolar-oriented maps. We prove that such maps can be encoded by a 2D lattice walk which converges to…
math.PR2024
Radial conformal welding in Liouville quantum gravity
Morris Ang, Pu Yu
The seminal work of Sheffield showed that when random surfaces called Liouville quantum gravity (LQG) are conformally welded, the resulting interface is Schramm-Loewner evolution (…
math.PR2024
The bulk one-arm exponent for the CLE percolations
Haoyu Liu, Xin Sun, Pu Yu +1
The conformal loop ensemble (CLE) is a conformally invariant random collection of loops. In the non-simple regime , it describes the scaling limit of the critical Fort…