Structures of empirical probability spaces associated with convex games

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K13459
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Osaka University
• Principal Investigator: Fujiwara Akio 大阪大学, 理学研究科, 教授 (30251359)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 経験確率 / 凸性 / 情報幾何学 / 量子情報

Outline of Final Research Achievements

Aiming at establishing empirical probability structure and/or information geometrical structure associated with convex games, we studied the following: 1) metric structure and dualistic affine connection structure induced from the Sandwiched quantum Renyi α-divergence are studied, 2) Chentsov's characterization is complemented to clarify the structure of Markov invariant (r,s) tensor fields.

Free Research Field

数理工学