Turning points at the Round Table Talks

Canard Solutions at Non-generic Turning Points

This paper deals with singular perturbation problems for vector fields on 2-dimensional manifolds. “Canard solutions” are solutions that, starting near an attracting normally hyperbolic branch of the singular curve, cross a “turning point” and follow for a while a normally repelling branch of the singular curve. Following the geometric ideas developed by Dumortier and Roussarie in 1996 for the ...

Round table.

Predicting Turning Points

This paper presents a new method for predicting turning points. The paper formally defines a turning point; develops a probit model for estimating the probability of a turning point; and then examines both the in-sample and out-of-sample forecasting performance of the model. The model performs better than some other methods for predicting turning points. *While working on this paper, all three ...

Corrections to Thomas-Fermi densities at turning points and beyond.

Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many noninteracting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the leading corrections to Thomas-Fermi theory, involve neither sums nor derivatives, are spatially uniform approximations, and are exceedingly accurate.

Round Table III: Mycoplasma Arthritis

Tendons and tendon sheaths and periarticular tissues are frequently involved in arthritides associated with mycoplasmas. It was therefore thought relevant to enlarge the title to "Arthritis and tenosynovitis." The arthritic conditions associated with mycoplasma infection were considered in turn for the rabbit, the rat and mouse, the chicken and turkey, the human patient, the pig, and cattle, sh...