12 citations · 93 across the 37 of their papers we have counts for
38 papers
Cutoff on non-negatively curved chains without symmetric support condition
Kazuki Okamura
We establish a cutoff criterion for finite Markov chains with non-negative Bakry--Émery curvature without assuming that the support of the transition matrix is symmetric. This exte…
The two-dimensional Matkowski--Sutô equation with holomorphic and strictly increasing generators
Kazuki Okamura
We study the two-dimensional Matkowski--Sutô equation, which asks for two quasi-arithmetic means whose sum is twice the arithmetic mean, in two settings. For holomorphic injective…
Dual-connection midpoint matrix means and their Gauss composition
Frank Nielsen, Kazuki Okamura
Nakamura [J. Comput. Appl. Math. 131 (2001)] proved that the arithmetic--harmonic matrix iteration converges quadratically to the geometric matrix mean, the Riemannian midpoint of…
The Moran--Hutchinson formula in semimetric spaces
Kazuki Okamura
We establish the Moran--Hutchinson formula for attractors of finite systems of surjective similitudes on semimetric spaces. More precisely, for a complete, normal semimetric space…
Group invariance of -divergences and the Fisher--Rao distance
Frank Nielsen, Kazuki Okamura
Many statistical models have natural symmetries described by a group action. We study how such symmetries affect the comparison of two distributions. We work with a transformation…
Asymptotic estimates for multiple point ranges of transient random walks on graphs
Kazuki Okamura
We study multiple point ranges for random walks on graphs, extending known asymptotic results obtained for random walks on groups. A distinctive feature is that algebraic and trans…