We establish stability of random absolutely continuous invariant measures (acims) for cocycles of random Lasota-Yorke maps under a variety of perturbations. Our family of random maps need not be close to a fixed map; thus, our results can handle very general driving mechanisms. We consider (i) perturbations via convolutions, (ii) perturbations arising from finite-rank transfer operator approxim...

In the 1920s Warrington Yorke had pioneered the malarial treatment of G.P.I. and neurosyphilis. It was Warrington Yorke who foresaw the dangers of Japanese intervention in the last war, and the overrunning of Java, the major source of the world's supply of quinine. It was his enthusiasm and energy which led the Governments of the U.K. and U.S.A. to provide mepacrine, which had been developed as...

This study explores the dynamics of two monopoly models with knowledgeable players. The first model was initially introduced by Naimzada and Ricchiuti, while second one is simplified famous Puu. We employ several tools based on symbolic computations to analyze local stability bifurcations models. To best our knowledge, complete conditions are obtained for time. investigate periodic solutions th...

Children with primary language impairment (LI) show a deficit in processing different grammatical structures, verb inflections, and syntactically complex sentences among other things (Clahsen-Hansen 1997; Leonard et al. 1997). Cross-linguistic research has shown that the pattern of performance is language-specific. We examined grammatical sensitivity to word order and agreement violations in 50...

Lithium (Li(+)) is a common treatment for bipolar mood disorder, a major psychiatric illness with a lifetime prevalence of more than 1%. Risk of bipolar disorder is heavily influenced by genetic predisposition, but is a complex genetic trait and, to date, genetic studies have provided little insight into its molecular origins. An alternative approach is to investigate the genetics of Li(+) sens...

Ninety-seven patients with multiple myeloma evaluated serially had both a tritiated thymidine labeling index of bone marrow plasma cells (LI%) and in vitro myeloma stem cell culture performed. Thirty-three patients with myeloma colony growth had in vitro drug sensitivity testing carried out, 18 having in addition in vitro thymidine suicide determinations. The LI% and the likelihood of in vitro ...

We develop a rigorous theory of observation for dynamical systems in Hilbert spaces. This work generalizes the results of Ott and Yorke [8] for dynamical systems in Rn.

BACKGROUND Lumbar spondylolisthesis (LS) and lumbar instability (LI) are common disorders in patients with low back or lumbar radicular pain. However, few physical examination tests for LS and LI have been reported. In the study described herein, new physical examination tests for LS and LI were devised and evaluated for their validity. The test for LS was designated "low midline sill sign", an...