[HTML][HTML] Informative fractal dimension associated with nonmetricity in information geometry
M Hirano, H Nagahama - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
The informative concept of fractal dimension in information geometry is discussed. The
fractal dimension emerges as a power exponent of the power law in natural phenomenon …
fractal dimension emerges as a power exponent of the power law in natural phenomenon …
Length-preserving biconnection gravity and its cosmological implications
We consider a length preserving biconnection gravitational theory, inspired by information
geometry, which extends general relativity, by using the mutual curvature as the …
geometry, which extends general relativity, by using the mutual curvature as the …
[PDF][PDF] Memory of fracture in information geometry
M Hirano, H Nagahama - Chaos, Solitons and Fractals, 2024 - researchgate.net
In this study, the memory effect of the fracture phenomenon in information geometry is
discussed. The input–output relation in a complex system as an application of fractional …
discussed. The input–output relation in a complex system as an application of fractional …
Geometric structures of micropolar continuum with elastic and plastic deformations based on generalized Finsler space
T Yajima, H Nagahama - Mathematics and Mechanics of …, 2024 - journals.sagepub.com
Elasto-plastic deformations of micropolar continuum are discussed by a non-Riemannian
geometry. The non-locality of micropolar continuum is described in a second-order vector …
geometry. The non-locality of micropolar continuum is described in a second-order vector …