We study an evolution equation proposed by Chapman-Rubinstein-Schatzman as a mean-field model for the evolution of the vortex-density in a superconductor. We treat the case of a bounded domain where vortices can exit or enter the domain. We show that the equation can be derived rigorously as the gradient-flow of some specific energy for the Riemannian structure induced by the Wasserstein distan...

OBJECTIVE The purpose of this study was to evaluate the frequency of glossoptosis (posterior displacement of the tongue) as a cause of sleep apnea in pediatric patients referred for fluoroscopic sleep studies. MATERIALS AND METHODS Seventy consecutive dynamic fluoroscopic sleep studies performed to evaluate sleep apnea were reviewed. All patients had been sedated and examined with lateral flu...

This paper starts with a re-examination of Piccione and Rubinstein’s [Games Econ. Behav. 20 (1997) 3] Absent-Minded Driver problem, and suggests a novel interpretation of Aumann, Hart and Perry’s [Games Econ. Behav. 20 (1997) 102] notion of action-optimality. We then consider several variants of the original problem in which the assumption that the player’s information sets partition the set of...

The clinical evaluation of the hallux abducto valgus deformity is extremely important. It is imperative that the nature and type of deformity are identified and documented to understand the presenting problem unique to each patient. Of equal importance is the fact that many patients presenting with hallux abducto valgus and associated symptoms will require surgical intervention to adequately tr...

Abstract: We investigate the problem of decomposing an image into three parts, namely a cartoon part, a texture part and a noise part. We argue that norms originating in the theory of optimal transport should have the ability to distinguish certain noise types from textures. Hence, we present a brief introduction to optimal transport metrics, especially the Kantorovich-Rubinstein norm, and show...

We continue the study of [AS] on the Chapman-Rubinstein-Schatzman-E evolution model for superconductivity, viewed as a gradient flow on the space of measures equipped with the quadratic Wasserstein structure. In [AS] we considered the case of positive (probability) measures, while here we consider general signed measures, as in the physical model. Understanding the evolution as a gradient flow ...

INTRODUCTION Thong style flip-flop footwear and sandals are the preferred footwear of 22% of children in Australia [1]. However, little is known about the effects of thong wearing on the growing child, despite thongs being identified by parents as a primary contributor to children’s total foot complaints with 15% of forefoot and 22% of rearfoot foot complaints attributed to thong and sandal wea...

BACKGROUND Rubinstein-Taybi syndrome (RSTS) is a congenital neurodevelopmental disorder defined by postnatal growth deficiency, characteristic skeletal abnormalities and mental retardation and caused by mutations in the genes encoding for the transcriptional co-activators with intrinsic lysine acetyltransferase (KAT) activity CBP and p300. Previous studies have shown that neuronal histone acety...

The concept of bisexuality has suffered from the same dilemma as that Of reality. So much has been said and assumed about both, that the words symbolizing them have become more and more mechanically used, and therefore misused. At the December 2006 conference of the Lesbian and gay Psychology Section of the British Psychological Society, bisexual activist and academic Ron Fox (who is currently ...