Showing 2024Show all
4 papers · 1 filter
math.AP2024
Regularity of solutions to time-harmonic Maxwell's system with Hölder and various lower than Hölder continuous coefficients
Lei Yu, Basang Tsering-xiao
The purpose of this paper is to establish a complete Schauder theory for the second-order linear elliptic equation and the time-harmonic Maxwell's system. We prove global Hölder re…
math.PR2024
Local Optimality of Dictator Functions with Applications to Courtade--Kumar and Li--Médard Conjectures
Lei Yu
Given a convex function , the -stability of a Boolean function is defined as , where is a random vector u…
cs.IT2024
Large Deviation Analysis for the Reverse Shannon Theorem
Shi-Bing Li, Ke Li, Lei Yu
Channel simulation is to simulate a noisy channel using noiseless channels with unlimited shared randomness. This can be interpreted as the reverse problem to Shannon's noisy codin…
cs.IT2024
Rényi Common Information for Doubly Symmetric Binary Sources
Lei Yu
In this note, we provide analytic expressions for the Rényi common information of orders in for the doubly symmetric binary source (DSBS). Until now, analytic expressi…