Recently the Ruelle-Perron-Fröbenius theorem was proved for Hölder potentials defined on the symbolic space Ω = MN, where (the alphabet) M is any compact metric space. In this paper, we extend this theorem to the Walters space W (Ω), in similar general alphabets. We also describe in detail an abstract procedure to obtain the Fréchetanalyticity of the Ruelle operator under quite general conditio...

benzazolo [2,1-b]quinazolinones and triazolo[2,1-b]quinazolinones were synthesized in high yields by the condensation reaction of an aldehyde and a cyclic  β-diketone with 2 - aminobenzimidazole, 2 - aminobenzothiazole or 1, 2, 4 - triazole derivatives in 1 - butyl - 3 -methylimidazolium bromide as an ionic liquid under classic heating conditions within 5-60 minutes.

This study examines and compares three pieces of Renaissance style gold and enamelled jewelry owned by the Walters Art Gallery, Baltimore, MD, USA. These are a 16th century Hat Badge of Adam and Eve, a 19th century Fortitude Pendant and a Diana Pendant presumed to be of the 16th century (The Walters Art Gallery, Jewelry, Ancient to Modern (Viking, New York, 1979)), Ref. [1]. PIXE spectroscopy w...

The Brønsted acidic ionic liquid ([BMIm]HSO4) catalyzed three-component synthesis of 2H-indazolo[2,1-b]phthalazine-trione derivatives at room temperature. The integrity of the ionic liquid remains reasonably unchanged when it is separated from the reaction mixture by water extraction, as it can be recycled several times without any loss of activity in each of the title syntheses. The products a...

A. C. Walters,1,2,* C. A. Howard,2 M. H. Upton,3,4 M. P. M. Dean,4 A. Alatas,3 B. M. Leu,3 M. Ellerby,2 D. F. McMorrow,2 J. P. Hill,4 M. Calandra,5 and F. Mauri5 1ESRF, Polygone Scientifique Louis Néel, 6 rue Jules Horowitz, F-38000 Grenoble, France 2London Centre for Nanotechnology and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom 3Advanced Pho...

In North Carolina, approximately 8% of the cucumber (Cucumis sativus) yield is lost to root-knot nematodes (Meloidogyne spp.) (Main and Gurtz, 1989). No resistance was found in cucumber after screening of 900 cultigens for resistance to Meloidogyne incognita race 3 (Walters, 1991). African horned cucumber (Cucumis metuliferus) has resistance to M. incognita (Fassuliotis, 1967; Walters, 1991), a...