Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...
The Fisher information and the Rao measure are obtained in closed form for a family of probability density functions parametrized by the manifold PSL(2, R) of projective transformations of the real ...
The study of affine hypersurfaces occupies a central role in differential geometry, providing deep insights into both the intrinsic and extrinsic properties of submanifolds in affine spaces. This ...