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math.PR2026
Independence properties for tree beta models
Yoshihiro Gyotoku, Makiko Sasada, Jacek Wesołowski
This paper is devoted to introduce new probabilistic tree-based models complementing already known Matsumoto-Yor and Hamza-Vallois tree models with two tree beta-type models.
math.PR2026
The Independence-Preserving Property and Planar Web Geometry
Yoshihiro Gyotoku
This paper introduces planar web geometry into the study of characterization problems for probability laws arising from independence preservation. Let be a real-a…