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We present a group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of coherent states associated to square integrable group representations. The parameter space X is the product of SO(3) × R*+, ...
We report extensive molecular-dynamics-simulation results for binary mixtures of hard spheres for different size disparities and different mixing percentages, for packing fractions up to 0.605, and over a characteristic time interval spanning up to 5 order ...
Granular materials are omnipresent in many fields ranging from civil engineering to food, mining and pharmaceutical industries. Often considered a fourth state of matter, they exhibit specific phenomena such as segregation, arching effects, pattern formati ...
Extensive molecular dynamics simulation studies of particles interacting via a short-ranged attractive square-well potential arc reported. The calculated loci of constant diffusion coefficient D in the temperature-packing fraction plane show a reentrant be ...
A review. Since the first mol. dynamics simulations of hard spheres by Alder and Wainwright in the fifties of the last century (Alder, B.J. and Wainwright, T.E. (1957) Phase transition for a hard sphere system, J. Chem. Phys. 27, 1208-1209), this method ha ...
In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...
Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an equivalent, but more straightforward approach. These developments are motivated by the interest of the scale-space analysis of the ...
