Some Non-Abelian Problems on Compact Riemann Surfaces

Paper by R. C. Gunnin

Late-time expansion in the semiclassical theory of the Hawking radiation

We give a detailed treatment of the back-reaction effects on the Hawking spectrum in the late-time expansion within the semiclassical approach to the Hawking radiation. We find that the boundary value problem defining the action of the modes which are regular at the horizon admits in general the presence of caustics. We show that for radii less that a certain critical value $r_c$ no caustic occurs for all values of the wave number and time and we give a rigorous lower bound on such a critical value. We solve the exact system of non linear equations defining the motion, by an iterative procedure rigorously convergent at late times. The first two terms of such an expansion give the $O(\omega/M)$ correction to the Hawking spectrum.Comment: 17 pages, 1 figure, LaTex, typos corrected, one intermediate formula adde

Diversity Issues in Mediation: Controlling Negative Cultural Myths

This article (by a concerned supporter) explores this criticism of mediation. Part II surveys the critics who argue that mediation\u27s informality and lack of procedure disadvantages members of minority groups and women. Part II then takes the next step that the critics have not taken, explaining how mediation could affect adversely disadvantaged groups. Part III suggests solutions to the problem which involve a greater level of mediator intervention than is generally accepted and defends these solutions

Toda Fields on Riemann Surfaces: remarks on the Miura transformation

We point out that the Miura transformation is related to a holomorphic foliation in a relative flag manifold over a Riemann Surface. Certain differential operators corresponding to a free field description of $W$--algebras are thus interpreted as partial connections associated to the foliation.Comment: AmsLatex 1.1, 10 page

Oral to nasal endotracheal tube exchange using both video and flexible laryngoscopes

This case describes the use of a video laryngoscope and flexible intubation scope to facilitate the exchange of an oral endotracheal tube for a nasal endotracheal tube in a patient with a potentially difficult airway