Redescription of Lasioseius floridensis Berlese, 1916 (Acari: Mesostigmata: Blattisociidae), with notes on closely related species

A redescription of Lasioseius floridensis Berlese, 1916 is presented based on examination with descriptive notes of primary type material in the Berlese Collection and on a study of specimens collected from gerbera leaves in Mogi das Cruzes, State of Sao Paulo, Brazil representing all postembryonic stages. This species was originally described from Lake City, Florida, USA, where it was collected from moss; it is considered a senior synonym of Lasioseius arboreus Chant, 1963 (new synonymy) and Lasioseius fimetorum Karg, 1971 (new synonymy), based on examination of primary type material of the latter two species. Examination of other primary type material also indicated that Lasioseius sugawarai Ehara, 1964 is a senior synonym of Lasioseius tridentatus Baker, Delfinado & Abbatiello, 1976 (new synonymy). Placement of L. floridensis among other of the ca 150 species of Lasioseius, based on available keys, and the need for more detailed descriptions of species of genera such as Lasioseius, confirmed by examination of their primary type material, are discussed.

The univalent polynomial of Suffridge as a summability kernel

A positive summability trigonometric kernel {K(n)(theta)}(infinity)(n=1) is generated through a sequence of univalent polynomials constructed by Suffridge. We prove that the convolution {K(n) * f} approximates every continuous 2 pi-periodic function f with the rate omega(f, 1/n), where omega(f, delta) denotes the modulus of continuity, and this provides a new proof of the classical Jackson`s theorem. Despite that it turns out that K(n)(theta) coincide with positive cosine polynomials generated by Fejer, our proof differs from others known in the literature.

Cooperative scattering by cold atoms

We have studied the interplay between disorder and cooperative scattering for the single scattering limit in the presence of a driving laser. Analytical results have been derived and we have observed cooperative scattering effects in a variety of experiments, ranging from thermal atoms in an optical dipole trap, atoms released from a dark MOT and atoms in a BEC, consistent with our theoretical predictions.