We report a new type of restoration of macroscopic isotropy (homogenization) in fractals with microscopic anisotropy. The phenomenon is observed in various physical setups, including diffusions, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in uniform media, while universal in that it is observed in a wide class of fractals. 05.40+j, ...

In the context of mathematical cosmology, study necessary and sufficient conditions for a semi-Riemannian manifold to be (generalized) Robertson-Walker space-time is important. particular, it requirement development initial data reproduce or approximate standard cosmological model. Usually these involve Einstein field equations, which change if one considers alternative theories gravity couplin...

Optical texture patterns contain three quasi-independent cues to planar surface orientation: perspective scaling, projective foreshortening and density. The purpose of this work was to estimate the perceptual weights assigned to these texture cues for discriminating surface orientation and to measure the visual system's reliance on an isotropy assumption in interpreting foreshortening informati...

Room-temperature (RT) mechanical anisotropy limits the broad applications of wrought magnesium (Mg) alloys. To weaken anisotropy, here, we proposed a design idea to create mixed texture. In present study, successfully fabricated Mg-3Y/Mg-5Li (W3/L5, wt.%) laminated composite, having texture with closely orthotropic shape, consisting an ED-split component in W3 layer and TD-split L5 layer, via b...