In this paper, we consider some natural (functorial) lifts of geometric objects associated with
statistical manifolds (metric tensor, dual connections, skewness tensor, etc.) to higher …

Motivated by the corrected form of the entropy-area law, and with the help of von Neumann
entropy of quantum matter, we construct an emergent spacetime by the virtue of the …

We demonstrate that the proper general setting for contrast (potential) functions in statistical
and information geometry is the one provided by Lie groupoids and Lie algebroids. The …

We use the general setting for contrast (potential) functions in statistical and information
geometry provided by Lie groupoids and Lie algebroids. The contrast functions are defined …

LOCAL NORMAL FORMS OF EM-WAVEFRONTS IN AFFINE FLAT COORDINATES Naomichi
Nakajima Abstract 1. Introduction In information geometr Page 1 N. NAKAJIMA KODAI MATH. J …

We consider some natural (functorial) lifts of geometric objects associated with statistical
manifolds (metric tensor, dual connections, skewness tensor, etc.) to higher tangent bundles …

本稿は, 著者によるプレプリント [12] の概説である. 著者らは情報幾何学における甘利,
長岡による双対**坦多様体の概念 [1, 2](これはアファイン微分幾何学におけるヘッセ多様体と同一 …