2 papers
math.FA2026
Sharp inequalities for the Newtonian and logarithmic capacities
Mengwei Su, Qiang Sun, Ge Xiong
Sharp inequalities between the Riesz and logarithmic capacities of compact sets in are established, and the equality conditions are fully characterized. These result…
cs.IT2026
The Equality Cases of the Weak Simplex Conjecture
Mengwei Su, Kaiwen Yang, Hao Xu +1
Among equiprobable equal-energy signals in under additive white Gaussian noise with maximum-likelihood decoding, which arrangement maximizes the probability of correct…