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math.DS2026
Information Geometry of Gradient Flows
Shintaro Yoshizawa
Taking classical information geometry as its point of departure, this paper investigates, through gradient flows, how dually flat geometry extends beyond regular convexity, non-deg…
math.DS2026
A Power Geometry and Hypergeometric Functions
Shintaro Yoshizawa
This paper is a corrected English translation of an original Japanese work introducing "power geometry," a research programme centred on power transformations, deformations and dua…
math.DS2023
Dynamical systems for eigenvalue problems of axisymmetric matrices with positive eigenvalues
Shintaro Yoshizawa
We consider the eigenvalues and eigenvectors of an axisymmetric matrix with some special structures. We propose S-Oja-Brockett equation where $X(t)…