2 papers
math.PR2026
A Two-regime Khintchine Inequality and an Improved Bound on the Degree-1 Fourier Weight for Linear Threshold Functions
Xuan Fang, Tianyu Wang
The Khintchine inequality provides a lower bound on the expected absolute value of a weighted sum of independent Rademacher random variables. In the classical setting, when the wei…
math.CO2025
A Proof of Talagrand's Creating Large Sets Conjecture
Xuan Fang, Tianyu Wang
Talagrand conjectured that if a family of sets over is of large measure, then constant times of unions of sets in will cover a…