Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
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Recent experiments on the Ba3XSb2O9 family have revealed materials that potentially realize spin-and spin-orbital liquid physics. However, the lattice structure of these materials is complicated due to the presence of charged X2+-Sb5+ dumbbells, with two p ...
The automation of the visual detection of structural elements and cracks have the potential in the future to greatly improve the post-earthquake safety evaluation of buildings in terms of time and accuracy. In addition, models could be combined with these ...
In order to develop automatic image-based methods for damage evaluation after earthquakes, crack maps need to be evaluated using computer-based algorithms. A common method to link the crack map to a damage state is to compute the fractal dimension of the c ...
The fractal dimension and lacunarity measurements of neuro-images were leveraged to differentiate between benign, biphasic and lacunarity tissue samples. For various benign and malignant subtypes, using the program developed by the authors, the fractal dim ...
In the framework of Fractal Theory of Motion for the Scale Relativity Theory with arbitrary and constant fractal dimensions, dynamics in complex systems associated to the fractal-non-fractal transition are analyzed. Working with the assumption that these d ...
A total number of 1092 embryos, originated from 168 couples that underwent IVF cycles, were analyzed in this study. The embryos were cultivated in a continuous culture and monitored using the time lapse system EmbryoScope. The microscopic images of the fer ...
We investigate the plasmonic behavior of Koch snowflake fractal geometries and their possible application as broadband optical antennas. Lithographically defined planar silver Koch fractal antennas were fabricated and characterized with high spatial and sp ...
The Apollonian packings (APs) of spheres are fractals that result from a space-filling procedure. We discuss the finite size effects for finite intervals s is an element of [s(min), s(max)] between the largest and the smallest sizes of the filling spheres. ...
Socio-economic related properties of a city grow faster than a linear relationship with the population, in a log–log plot, the so-called superlinear scaling. Conversely, the larger a city, the more efficient it is in the use of its infrastructure, leading ...
We study frictionless and non-adhesive contact between elastic half-spaces with self-affine surfaces. Using a recently suggested corrective technique, we ensure an unprecedented accuracy in computation of the true contact area evolution under increasing pr ...
