Scholarlink

We provide a comprehensive characterization of the extreme points in the family of infinite-dimensional symmetric doubly stochastic matrices. This characterization is rooted in the cyclic decomposition of permutations on the set of integers. The explicit formulation of extreme points is applicable uniformly across all dimensions, revealing the existence of extreme points through permutations with no cycle of length \(4,6,8,\dots \) , nor any cycle of infinite length, while all other finite cycles are permissible.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Extreme Points of Infinite-Dimensional Symmetric Doubly Stochastic Matrices

  • 会议论文

  • 发表日期：

    2026年

查看全文
  • Ali Bayati Eshkaftaki,
  • Selcuk Koyuncu,
  • Javad Mashreghi

摘要

We provide a comprehensive characterization of the extreme points in the family of infinite-dimensional symmetric doubly stochastic matrices. This characterization is rooted in the cyclic decomposition of permutations on the set of integers. The explicit formulation of extreme points is applicable uniformly across all dimensions, revealing the existence of extreme points through permutations with no cycle of length \(4,6,8,\dots \) , nor any cycle of infinite length, while all other finite cycles are permissible.