On the topology of initial data sets with higher genus ends

In this note we study the topology of 3-dimensional initial data sets with horizons of a sort associated with asymptotically locally anti-de Sitter spacetimes. We show that, within this class, those initial data sets which contain no (immersed) marginally outer trapped surfaces in their interior must have simple topology: they are a product of a surface and an interval, or a mild variation thereof, depending on the connectedness of the horizon and on its genus relative to that of the end. The results obtained here extend results in [11] to the case of higher genus ends.Comment: v2: 13 pages, 1 figure; minor corrections and changes, Lemma 2.2 added. To appear in Commun Math Phy

Intermittent Synchronization in a Pair of Coupled Chaotic Pendula

Numerical simulations have been carried out for a pair of unidirectionally coupled identical pendula under the action of a common external ac torque. Both the master pendulum and the slave pendulum were in chaotic states. The only form of persistent locking appeared to be a computational artifact; otherwise the synchronization of slave to master was found to be intermittent

Intermittent Synchronization of Resistively Coupled Chaotic Josephson Junctions

Numerical simulations have been used to investigate the dynamics of a pair of resistively linked Josephson junctions with ac bias. For suitable choices of parameters, the chaotic states of the two junctions become intermittently synchronized. Intervals of synchronization are interleaved between bursts of desynchronized activity. The distributions of these laminar times and their dependence on the coupling strength are determined. The role of phase winding in the definition of synchronization intervals is considered

Inverting Chaos: Extracting System Parameters from Experimental Data

Given a set of experimental or numerical chaotic data and a set of model differential equations with several parameters, is it possible to determine the numerical values for these parameters using a least-squares approach, and thereby to test the model against the data? We explore this question (a) with simulated data from model equations for the Rossler, Lorenz, and pendulum attractors, and (b) with experimental data produced by a physical chaotic pendulum. For the systems considered in this paper, the least-squares approach provides values of model parameters that agree well with values obtained in other ways, even in the presence of modest amounts of added noise. For experimental data, the “fitted” and experimental attractors are found to have the same correlation dimension and the same positive Lyapunov exponent

Eating As Treatment (EAT): A Stepped-Wedge, Randomized Controlled Trial of a Health Behavior Change Intervention Provided by Dietitians to Improve Nutrition in Patients With Head and Neck Cancer Undergoing Radiation Therapy (TROG 12.03)

Purpose: Malnutrition in head and neck cancer (HNC) treatment is common and associated with poorer morbidity and mortality outcomes. This trial aimed to improve nutritional status during radiation therapy (RT) using a novel method of training dietitians to deliver psychological techniques to improve nutritional behaviors in patients with HNC. Methods and Materials: This trial used a stepped-wedge, randomized controlled design to assess the efficacy of the Eating As Treatment (EAT) program. Based on motivational interviewing and cognitive behavioral therapy, EAT was designed to be delivered by oncology dietitians and integrated into their clinical practice. During control steps, dietitians provided treatment as usual, before being trained in EAT and moving into the intervention phase. The training was principles based and sought to improve behavior-change skills rather than provide specific scripts. Patients recruited to the trial (151 controls, 156 intervention) were assessed at 4 time points (the first and the final weeks of RT, and 4 and 12 weeks afterward). The primary outcome was nutritional status at the end of RT as measured by the Patient-Generated Subjective Global Assessment. Results: Patients who received the EAT intervention had significantly better scores on the primary outcome of nutritional status at the critical end-of-treatment time point (β = −1.53 [−2.93 to −.13], P =.03). Intervention patients were also significantly more likely than control patients to be assessed as well-nourished at each time point, lose a smaller percentage of weight, have fewer treatment interruptions, present lower depression scores, and report a higher quality of life. Although results were not statistically significant, patients who received the intervention had fewer and shorter unplanned hospital admissions. Conclusions: This trial is the first of its kind to demonstrate the effectiveness of a psychological intervention to improve nutrition in patients with HNC who are receiving RT. The intervention provides a means to ameliorate malnutrition and the important related outcomes and consequently should be incorporated into standard care for patients receiving RT for HNC

The Future Role of Strategic Landpower

Recent Russian aggression in Ukraine has reenergized military strategists and senior leaders to evaluate the role of strategic Landpower. American leadership in the European theater has mobilized allies and partners to reconsider force postures for responding to possible aggression against NATO members. Although Russian revisionist activity remains a threat in Europe, the challenges in the Pacific for strategic Landpower must also be considered. At the same time, the homeland, the Arctic, climate change, and the results of new and emerging technology also challenge the application of strategic Landpower. This publication serves as part of an enduring effort to evaluate strategic Landpower’s role, authorities, and resources for accomplishing the national strategic goals the Joint Force may face in the next conflict. This study considers multinational partners, allies, and senior leaders that can contribute to overcoming these enduring challenges. The insights derived from this study, which can be applied to both the European and Indo-Pacific theaters, should help leaders to consider these challenges, which may last a generation. Deterrence demands credible strategic response options integrated across warfighting functions. This valuable edition will continue the dialogue about addressing these issues as well as other emerging ones.https://press.armywarcollege.edu/monographs/1959/thumbnail.jp

Measurement Of The Complex Nonlinear Refractive-Index Of Single-Crystal P-Toluene Sulfonate At 1064-Nm

Z-scan at 1064 nm was used with single, 35 ps pulses to measure the nonlinear refraction and absorption in single crystal PTS (p-toluene sulfonate). Detailed analysis of the Z-scan data based on DELTAn = n2I + n3I2 and DELTAalpha = alpha2I + alpha3I2 yielded n2 = 5(+/-1) X 10(-12) cm2/W, alpha2 = 100(+/-20) cm/GW, n3 = 5(+/-1)X 10(-21) cm4/W2 and alpha3 = - 5 (+/- 1) cm3/GW.2 The resulting two photon figure of merit T for PTS is marginal for high throughput, all-optical waveguide switching at 1064 nm

Self-Assembled Silica Nano-Composite Polymer Electrolytes: Synthesis, Rheology & Electrochemistry

The ultimate objectives of this research are to understand the principles underpinning nano-composite polymer electrolytes (CPEs) and facilitate development of novel CPEs that are low-cost, have high conductivities, large Li+ transference numbers, improved electrolyte-electrode interfacial stability, yield long cycle life, exhibit mechanical stability and are easily processable. Our approach is to use nanoparticulate silica fillers to formulate novel composite electrolytes consisting of surface-modified fumed silica nano-particles in polyethylene oxides (PEO) in the presence of lithium salts. We intend to design single-ion conducting silica nanoparticles which provide CPEs with high Li+ transference numbers. We also will develop low-Mw (molecular weight), high-Mw and crosslinked PEO electrolytes with tunable properties in terms of conductivity, transference number, interfacial stability, processability and mechanical strengt

Fiber Optical Micro-detectors for Oxygen Sensing in Power Plants

Spectroscopy of Mo{sub 6}Cl{sub 12} immobilized in a sol-gel matrix and heated to 200 C has been performed. Oxygen quenching of the luminescence was observed. Aging Mo{sub 6}Cl{sub 12} to temperatures above 250 C converts the canary yellow Mo{sub 6}Cl{sub 12} to a non-luminescent gray solid. Preliminary experiments point to oxidation of the clusters as the likely cause of thermally induced changes in the physical and optical properties of the clusters