PGL⁡2(Qp)\operatorname{PGL}_{2}(\mathbb{Q}_{p})-orbit closures on a pp-adic homogeneous space of infinite volume

Let $\mathbb{K}$ be an unramified quadratic extension of $\mathbb{Q}_{p}$ for a fixed $p>2$. Projective general linear groups $G=\operatorname{PGL}_{2}(\mathbb{K})$ and $H=\operatorname{PGL}_{2}(\mathbb{Q}_{p})$ act transitively on Bruhat-Tits trees $T_G$ and $T_H$, respectively. We identify $G/H$ with the set of $H$-subtrees $G.T_{H}$. Let $\Gamma$ be a Schottky subgroup such that $\Gamma\backslash T_{G}$ is infinite volume and has an additional condition named high-branchedness, and let $\Lambda$ be its limit set. We classify $\Gamma$-orbits in $G/H$. Let $C=g_{C}H\in G/H$. As a generalization of Ratner's theorem, if $\Gamma\backslash g_{C}.T_{H}$ meets the convex core of $\Gamma\backslash T_{G}$, then the $\Gamma$-orbit of $C$ is either dense or closed in ${\cal{C}}_{\Lambda}=\{g H: \partial(g.T_{H})\cap\Lambda\neq\varnothing\}$.Comment: 35 pages, 5 figure

An Agent Based Market Design Methodology for Combinatorial Auctions

Auction mechanisms have attracted a great deal of interest and have been used in diverse e-marketplaces. In particular, combinatorial auctions have the potential to play an important role in electronic transactions. Therefore, diverse combinatorial auction market types have been proposed to satisfy market needs. These combinatorial auction types have diverse market characteristics, which require an effective market design approach. This study proposes a comprehensive and systematic market design methodology for combinatorial auctions based on three phases: market architecture design, auction rule design, and winner determination design. A market architecture design is for designing market architecture types by Backward Chain Reasoning. Auction rules design is to design transaction rules for auctions. The specific auction process type is identified by the Backward Chain Reasoning process. Winner determination design is about determining the decision model for selecting optimal bids and auctioneers. Optimization models are identified by Forward Chain Reasoning. Also, we propose an agent based combinatorial auction market design system using Backward and Forward Chain Reasoning. Then we illustrate a design process for the general n-bilateral combinatorial auction market. This study serves as a guideline for practical implementation of combinatorial auction markets design.Combinatorial Auction, Market Design Methodology, Market Architecture Design, Auction Rule Design, Winner Determination Design, Agent-Based System

Financial Reporting Quality And Acquisition Profitability: Evidence From Korea

In this paper, we examine the association between financial reporting quality and acquisition profitability in a sample of 282 acquisitions in South Korea between 2001 and 2011. Using the accruals quality measure developed by Dechow and Dichev (2002) and McNichols (2002), we find that firms with high-quality financial reporting make more profitable acquisitions, as measured by the bidder's announcement returns. In addition, we find that the importance of financial reporting quality increases in firms with poor information environments

A case report of type VI dual left anterior descending coronary artery anomaly presenting with non-ST-segment elevation myocardial infarction

BACKGROUND: Type VI dual left anterior descending artery (LAD) is a rare coronary anomaly, the first case of which has recently been described. This is the first report of type VI dual LAD anomaly in which the patient presented with non-ST-segment elevation myocardial infarction and percutaneous coronary intervention was performed in the anomalously originating LAD. CASE PRESENTATION: A 52-year-old man with diabetes, hypertension and hyperlipidemia presented with chest pain without ST elevation on EKG, although the patient’s troponin I level was elevated. Coronary angiography revealed a short LAD originating from the left main coronary artery and a long LAD originating from the proximal portion of the right coronary artery (RCA). Three-dimensional reconstruction of computed tomography of images revealed that the long LAD originated from the proximal RCA and coursed between the right ventricular outflow tract (RVOT) and the aortic root before entering the mid anterior interventricular groove. The high take-off RCA originated underneath the RVOT, pointing downwards and forming an acute angle with the proximal portion of the long LAD. The anomalous long LAD displayed significant stenosis. We performed successful percutaneous coronary intervention (PCI) in the anomalous artery. CONCLUSION: With accurate understanding of the coronary anatomy and appropriate hardware selection, successful PCI can be performed in the in the long LAD in patients with type VI dual LAD anomaly

PLANTAR PRESSURE DISTRIBUTION ANALYSIS OF ALPINE AND BOARDERCROSS SNOWBOARDERS’ CARVING TURNS

Plantar pressure distribution analysis of alpine and boarder-cross snowboarders’ carving turn was performed to provide instructors and snowboarders with scientific and quantitative data for evaluation of the turn. Snowboarders from Korean National Team for 2018 Pyeongchang Winter Olympics were chosen as subjects. To allow on-snow measurements of plantar pressure distribution, the boots were outfitted with pressure sensitive insoles. The carving turn section was divided into 5 events and 4 phases of which force, maximum pressure, and plantar contact area were analyzed. Comprehensive kinematical analysis was conducted which indicated the major features of pressure distribution in two different sporting events. The proposed results can be used as a reference for improvement of the training method in snowboarding

Direct Detection of Multiple Backward Volume Modes in Yttrium Iron Garnet at Micron Scale Wavelengths

This article belongs to the Proceedings of The 37th International Symposium on Dynamical Properties of Solids