We define Liu morphisms and quasi-Liu between Berkovich analytic spaces. show that behave exactly as affine quasi-affine of schemes.

Volume Four 5-1 THEORETICAL ANALYSIS OF CONCENTRATION POLARIZATION EFFECT ON VOC REMOVAL BY PERVAPORATION 1S.X. Liu, 2L.M. Vane, and 1M. Peng 1Department of Food Science, Rutgers University, New Brunswick, New Jersey 08901-8520; Phone: (732) 932-9611 X240; Fax: (732) 932-6776; Email: [email protected]. 2Clean Process and Product Division, National Risk Management Research Laboratory, U.S. E...

The Liu-type estimator is one of the shrink estimators that used to remedy for a problem multicollinearityin SUR model, but it sensitive outlier. In this paper, we introduce S (SLiu-type) and MM (MMLiu-type) model. These merge with S-estimator MM-estimator which makes have high robustness at different level efficiency same time prevents bad effects multicollinearity. Moreover, get more robust f...

We consider uniform spanning tree (UST) in topological polygons with 2N marked points on the boundary alternating conditions. In an earlier work by Liu-Peltola-Wu, authors derive scaling limit of Peano curve UST. They are variants SLE8. this article, we loop-erased random walk branch (LERW) SLE2. The conclusion is a generalization Han-Liu-Wu where LERW UST when N=2. When N=2, limiting law SLE2(...

Author Affiliations: The Centre for Hip Health and Mobility (Drs Davis and Liu-Ambrose) and The Brain Research Centre (Drs Beattie, Graf, and Liu-Ambrose and Ms Nagamatsu), Vancouver Coastal Health Research Institute, Collaboration for Outcomes Research and Evaluation (CORE), Faculty of Pharmaceutical Sciences (Drs Davis and Marra and Mr Najafzadeh), Department of Physical Therapy (Dr Liu-Ambro...