We prove that the distance between two reflected Brownian motions outside a sphere in a 3-dimensional flat torus does not converge to 0, a.s., if the radius of the sphere is sufficiently small, relative to the size of the torus.

sphere-like shaped cobalt oxide nanoparticles (co3o4) were synthesized by a simple wet chemical method using cobalt chloride as precursor and cetyl trimethylammonium bromide (ctab) as surfactant. their structural and surface morphologial properties were characterized by high resolution transmission electron microscopy (hrtem), field emission scanning electron microscopy (fesem) and x-ray diffra...

PURPOSE This study examines global social networks-including friendship, support, and acquaintance networks-of lesbian, gay, bisexual, and transgender (LGBT) older adults. DESIGN AND METHODS Utilizing data from a large community-based study, we employ multiple regression analyses to examine correlates of social network size and diversity. RESULTS Controlling for background characteristics, ...