报告题目 (Title):Levenshtein球的大小分布问题
On the size distribution of the fixed-length Levenshtein balls with radius one
报告人 (Speaker): 王琦 教授(南方科技大学)
报告时间 (Time):2023年11月18日(周六) 14:00
报告地点 (Place):F309
邀请人(Inviter):丁洋
报告摘要:The fixed-length Levenshtein (FLL) distance between two words is the smallest integer such that can be transformed to by insertions and deletions. The size of a ball in the FLL metric is a fundamental yet challenging problem. Very recently, Bar-Lev, Etzion, and Yaakobi explicitly determined the minimum, maximum and average sizes of the FLL balls with radius one, respectively. In this talk, I will further prove that the size of the FLL balls with radius one is highly concentrated around its mean by Azuma’s inequality.