Holomorphic Approximation via Dolbeault Cohomology

The purpose of this paper is to study holomorphic approximation and approximation of $\bar\partial$-closed forms in complex manifolds of complex dimension $n\geq 1$. We consider extensions of the classical Runge theorem and the Mergelyan property to domains in complex manifolds for the smooth and the $L^2$ topology. We characterize the Runge or Mergelyan property in terms of certain Dolbeault cohomology groups and some geometric sufficient conditions are given

The Elements of Influence (and a Ghost) : Julien Prévieux

''Work, management, economics, politics, control systems, state-of-the-art technologies, and the culture industry are the many “worlds” that Prix Marcel Duchamp winning artist Julien Prévieux’s activities interrogate. The methods of recording movement and gesture developed over the last century and a half led to aesthetic results that recall the formal explorations of modernist art. Playing on this resemblance, Julien Prévieux transforms these records—originally produced for the sake of productivity, profit or surveillance—into pure form. Using map-making, dance, theatre, sculpture, video, and drawing, his work appropriates the vocabulary, mechanisms, and modus operandi of the sectors by which it is informed to highlight their dogmas and excesses. In this solo exhibition presented across both galleries, Prévieux highlights each mechanism’s potential for play, creativity, productivity, and counter-productivity.'' -- Publisher's websit

Temporal memory in human amnesic subjects and rats with specific brain lesions

Temporal processing was assessed in a group of alcoholic Korsakoff subjects, post viral encephalitic subjects, alcoholic control and normal control subjects. Subjects were tested on their ability to reproduce and estimate intervals of time ranging from 3 to 96 seconds. Also, a computerised analogue of the fixed interval procedure used with animals was designed and used to test subjects' estimations of intervals of 15 and 30 seconds. Memory for temporal order was also assessed using an object recency task which also incorporated a recognition memory test. It was found that Korsakoff subjects were impaired at all intervals both in the temporal estimation tests and the fixed interval procedure compared to the alcoholic control subjects, whereas the post-encephalitic subjects performed similarly to the normal control group. Both amnesic groups, however, were severely impaired on the test of temporal order memory. The results suggested that these two aspects of temporal processing were unrelated and that neither was related to severity of amnesia. There was no evidence to support the view that amnesic subjects' temporal order deficits are a result of frontal lobe dysfunction, but the temporal duration judgments correlated significantly with tests of cognitive estimation suggesting a contribution of frontal lobe function to estimation of temporal duration. Temporal order memory was assessed in rats with either radiofrequency lesions of the fornix or aspiration lesions of medial prefrontal cortex using a delayed non-matching to sample procedure. Neither lesion group was impaired on this test of recency memory although both were impaired on a spatial non-matching task. These results are discussed in relation to previous animal studies and their implications for human amnesia

Reducing the Burden of Medication Costs to Improve Medication Adherence

The high cost of medications is one reason that patients do not adhere to treatment plans. Providers can take actions to relieve the economic burden such as prescribing generic medications and offering patients information on various resources, including discount generic drug lists, discount cards, mail-order pharmacies, and prescription assistance programs

Modifying Gravity at Low Redshift

We consider the growth of cosmological perturbations in modified gravity models where a scalar field mediates a non-universal Yukawa force between different matter species. The growth of the density contrast is altered for scales below the Compton wave-length of the scalar field. As the universe expands, the Compton wave-length varies in time in such a way that scales which were outside the range of the scalar field force may feel it at a lower redshift. In this case, both the exponent $\gamma$ measuring the growth of Cold Dark Matter perturbations and the slip function representing the ratio of the two Newtonian potentials $\psi$ and $\phi$ may differ from their values in General Relativity at low redshift.Comment: 27 pages, 5 figures; revised version, to appear in JCAP