Abstract In this paper we construct a family of ternary interpolatory Hermite subdivision schemes order 1 with small support and ${\mathscr{H}}\mathcal {C}^{2}$ H C 2 -smoothness. Indeed, leaving the binary domain, it is possible ...

It is proved that the Green’s function of the simple random walk on a surface group of large genus decays exponentially in distance at the (inverse) spectral radius. It is also shown that Ancona’s inequalities extend to the spectral radius R, and therefore that the Martin boundary for R−potentials coincides with the natural geometric boundary S. This implies that the Green’s function obeys a po...

We study the spectral radius of graphs with n vertices and k cut edges. In this paper, we show that of all the connected graphs with n vertices and k cut edges, the maximal spectral radius is obtained uniquely at Kk n , where K k n is a graph obtained by joining k independent vertices to one vertex of Kn−k . We also discuss the limit point of the maximal spectral radius. © 2004 Elsevier Inc. Al...

We introduce a new spectral method for the retrieval of optical thickness and effective radius from cloud transmittance that relies on the spectral slope of the normalized transmittance between 1565 nm and 1634 nm, and on cloud transmittance at a visible wavelength. The standard dual-wavelength technique, which is traditionally used in reflectance-based retrievals, is ill-suited for transmittan...