3 papers
math.PR2026
The Random-Cluster Model on Wired Trees: Uniqueness and Negative Dependence
Heehyun Park
The random-cluster model with cluster weight is expected to exhibit negative dependence, but without FKG even pairwise negative correlation remains open on general graphs.…
math.PR2026
Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs
Antonio Blanca, Reza Gheissari, Heehyun Park +1
We study the random-cluster model on trees and treelike graphs at low temperatures. This is a model of dependent percolation parametrized by an edge probability and a…
cs.AI2026
Bridging the Know-Act Gap via Task-Level Autoregressive Reasoning
Jihyun Janice Ahn, Ryo Kamoi, Berk Atil +34
LLMs often generate seemingly valid answers to flawed or ill-posed inputs. This is not due to missing knowledge: under discriminative prompting, the same models can mostly identify…