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Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
(American Mathematical Society, 2019)
In this paper we show novel underlying connections between fractional powers of the Laplacian on the unit sphere and functions from analytic number theory and differential geometry, like the Hurwitz zeta function and the ...
Design and applications of structured catalytic supports synthesized by coating in spherical geometry: a review
(Nova Science Publishers, 2020)
The methods used to synthesize structured catalytic supports by coating in spherical geometry are reviewed. The different procedures are influenced by the pretreatments of the substrate, the deposition technique of the ...
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
(Natl Acad Sci Ukraine, 2014-01)
In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...
Detailed demonstrations of the relations between coordinate systems in the celestial sphereDemonstrações detalhadas das relações entre sistemas de coordenadas na esfera celeste
(Universidade Federal de Santa Maria, 2022)
Effects of potential models on nitrogen adsorption on triangular pore: An improved mixed model for energetic characterization of activated carbon
(Elsevier Science, 2019-07)
Studies of the importance of shape considering both adsorption molecule and pore geometry were performed by Monte Carlo simulation in grand canonical ensemble (GCMC) for activated carbons (AC). The effects on adsorption ...
Geometry-Assisted Topological Transitions in Spin Interferometry
(American Physical Society, 2019-12)
We identify a series of topological transitions occurring in electronic spin transport when manipulating spin-guiding fields controlled by the geometric shape of mesoscopic interferometers. They manifest as distinct ...
Supports for minimal hermitian matrices
(Elsevier Science Inc, 2020-01)
We study certain pairs of subspaces V and W of C^n we call supports that consist of eigenspaces of the eigenvalues ±‖M‖ of a minimal hermitian matrix M(‖M‖ ≤‖M+D‖ for all real diagonals D). For any pair of orthogonal ...
The non-pure version of the simplex and the boundary of the simplex
(Elsevier Science, 2016-08)
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition ...
Evaluation of the particle geometry and interphase influence on the filler-matrix debonding process
(IOP Publishing, 2019-06-14)
Incorporation of rigid fillers into polymer matrices represents a widely used technique to obtain improved performance. The mechanical behavior finally obtained is closely related to a wide range of involved factors (filler ...
Comparison of the fluidized state stability from radioactive particle tracking results
(Molecular Diversity Preservation International, 2021-10)
Currently, various industrial processes are carried out in fluidized bed reactors. Knowing its internal dynamics is fundamental for the intensification of these processes. This work assesses the motion of fluidized calcium ...