In this thesis, we study degenerate Monge-Ampere equations over projective manifolds. The main degeneration is on the cohomology class which is Kähler in classic cases. Our main results concern the case when this class is semi-ample and big with certain generalization to more general cases. Two kinds of arguments are applied to study this problem. One is maximum principle type of argument. The ...

Using a dataset of over 1.9 million messages posted on Twitter by about 25,000 ISIS members, we explore how ISIS makes use of social media to spread its propaganda and to recruit militants from the Arab world and across the globe. By distinguishing between violence-driven, theological, and sectarian content, we trace the connection between online rhetoric and key events on the ground. To the be...

The Affect Misattribution Procedure (AMP; Payne, Cheng, Govorun, & Stewart, 2005) is an important tool in implicit social cognition research, but little is known about its underlying mechanisms. This paper investigates whether, as the name implies, affect-based processes really underlie the AMP. We used a modified AMP that enabled us to separate the influence of affective and nonaffective proce...

The High Resistance Compensation Method (HRCM) was developed to measure the electrode potentials of high resistance electrodes. It is essentially similar to the classical Poggendorff compensation method, but instead of an ampere-meter, the pH-meter was introduced as an indicator of complete compensation. The method was applied to measurements of the electrode potentials of a single crystal ruti...

We consider the following obstacle problem for Monge-Ampere equation detDu = fχ{u>0} and discuss the regularity of the free boundary ∂{u = 0}. We prove that ∂{u = 0} is C if f is bounded away from 0 and ∞, and it is C if f ≡ 1.

a CNRS, LAAS, 7 Avenue du Colonel Roche, F-31400 Toulouse, France b Univ de Toulouse, UPS, LAAS, F-31400 Toulouse, France c Université de Lyon, CNRS, Laboratoire AMPERE, UMR 5005, INSA de Lyon, F-69621 Villeurbanne, France d Institut de Microelectrónica de Barcelona-Centre Nacional de Microelectrónica (IMB-CNM), Consejo Superior de Investigaciones Científicas (CSIC), Universitat Autònoma de Bar...

Johan Gyselinck1, Patrick Dular2, Laurent Krähenbühl3, Ruth V. Sabariego4 1 BEAMS Department, Université Libre de Bruxelles (ULB), Belgium, [email protected] 2ACE, Dept. of Electrical Engineering and Computer Science, University of Lie‘ge (ULg), Belgium, [email protected] 3Université de Lyon, Ampere (CNRS UMR5005, Ecole Centrale de Lyon, INSA-Lyon, UCBL), France 4Dept. Electrical ...