Invariant Metric Under Deformed Markov Embeddings with Overlapped Supports

Hiroshi Matsuzoe, Asuka Takatsu

研究成果: Article査読

抄録

Due to Čencov’s theorem, there exists a unique family of invariant symmetric (0, 2)-tensor fields on the space of positive probability measures on a set of n-points indexed by n∈ N under Markov embeddings. We deform Markov embeddings keeping sufficiency, and prove existence and uniqueness of invariant families under the embeddings.

本文言語English
論文番号54
ジャーナルResults in Mathematics
76
2
DOI
出版ステータスPublished - 2021 5

ASJC Scopus subject areas

  • 数学(その他)
  • 応用数学

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