We consider random Schrödinger equations on Rd for d ≥ 3 with a homogeneous Anderson-Poisson type random potential. Denote by λ the coupling constant and ψt the solution with initial data ψ0. The space and time variables scale as x ∼ λ−2−κ/2, t ∼ λ−2−κ with 0 < κ < κ0(d). We prove that, in the limit λ → 0, the expectation of the Wigner distribution of ψt converges weakly to the solution of a he...

In this paper, we present a level set approach for the modeling of dendritic solidification. These simulations exploit a recently developed second order accurate symmetric discretization of the Poisson equation, see [12]. Numerical results indicate that this method can be used successfully on complex interfacial shapes and can simulate many of the physical features of dendritic solidification. ...

Abstract Introduction Obesity hypoventilation syndrome (OHS) is an underrecognized chronic respiratory condition characterized by obesity (BMI &amp;gt; 30kg/m2) and (PaCO2 45mmHg) in the absence of other causes hypoventilation. In OHS, mass loading on system, leading to CO2 retention, diminished ventilatory response, progressive hypoxia/hypercapnia, eventual cardiopulmonary arrest. OHS typicall...

Elevated circulating cell-free DNA (CFD) levels were found in patients with cancer. The standard CFD assays are work-intensive and expensive. The aim was to evaluate in patients with cancer a new simple CFD assay. In mice inoculated with cancer cells, CFD levels correlated with tumor size. Compared with healthy subjects, 38 patients with colorectal cancer (CRC) had higher preoperative CFD level...

In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related techniques were used to develop a boundary condition capturing approach for the variable coefficient Poisson equation on domains with an embedded interface. In this paper, these new numerical techniques are extended to tr...

We begin by presenting some basic definitions from effective model theory. A recursive structure is one with a recursive domain and uniformly recursive atomic relations. Without lost of generality, we can always suppose that the domain of every recursive structure is the set of all naturall numbers ω and that its language does not contain function symbols. If a structure A is isomorphic to a re...

OBJECTIVE We analyze parotid specimens in patients treated with prophylactic parotidectomy for squamous cell carcinoma of the auricle greater than or equal to 2 cm to determine rates of metastasis and the efficacy of elective resection. STUDY DESIGN Case series with chart review. SETTING Cancer treatment center in Fort Worth, Texas, from 1998 to 2013. SUBJECTS AND METHODS The study includ...

The dynamic fiscal policy adjustment of local jurisdictions is investigated empirically using a panel of more than 1000 U.S. municipalities over a quarter of a century. Distinguishing own revenues, grants, expenditures, and debt service, the analysis is carried out using a vector error correction model which takes account of the intertemporal budget constraint. The results indicate that a large...

We describe the important role that the conjectures and questions posed at the end of the two editions of Gerald Sacks’s Degrees of Unsolvability have had in the development of recursion theory over the past thirty years. Gerald Sacks has had a major influence on the development of logic, particularly recursion theory, over the past thirty years through his research, writing and teaching. Here,...

OBJECTIVE Women with type 1 diabetes have increased risk of infertility compared to women without diabetes even after adjustment for irregular menses, but aetiologies are incompletely understood. Our aim was to examine the prevalence of abnormalities in ovarian markers consistent with polycystic ovary syndrome in women with type 1 diabetes and associations with irregular menses and diabetes-spe...