3 papers
math.ST2020
Correlations with tailored extremal properties
Sky Cao, Peter J. Bickel
Recently, Chatterjee has introduced a new coefficient of correlation which has several natural properties. In particular, the coefficient attains its maximal value if and only if o…
math.PR2020
Wilson loop expectations in lattice gauge theories with finite gauge groups
Sky Cao
Wilson loop expectations at weak coupling are computed to first order, for four dimensional lattice gauge theories with finite gauge groups which satisfy some mild additional condi…
math.PR2019
Central limit theorems for combinatorial optimization problems on sparse Erdős-Rényi graphs
Sky Cao
For random combinatorial optimization problems, there has been much progress in establishing laws of large numbers and computing limiting constants for the optimal value of various…