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In situ ellipsometry study of atomic hydrogen etching of extreme ultraviolet induced carbon layers
Juequan Chen, Eric Louis, Rob Harmsen, Tim Tsarfati, Herbert Wormeester, Maarten van Kampen, Willem van Schaik, Robbert van de Kruijs, Fred Bijkerk
Applied Surface Science·2011·24 citations
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View paper →Filial norms and intergenerational support to aging parents in China and Taiwan
Ju‐Ping Lin, Chin‐Chun Yi
International Journal of Social Welfare·2011·112 citations
Lin J‐P, Yi C‐C. Filial norms and intergenerational support to aging parents in China and TaiwanInt J Soc Welfare 2011: 20: S109–S120 © 2011 The Author(s), International Journal of Social Welfare © 2011 Blackwell Publishing Ltd and the International Journal of Social Welfare.This study compared intergenerational relations in China and Taiwan. It has been assumed that cultural homogeneity results in filial norms being the shared dominant family value. However, due to different socio‐economic experiences, other situational factors could produce different effects in China and Taiwan. Specifically, geographical distance, parental demands, and children's resources were incorporated in the analysis. We suspected that different situational factors might interact with filial norms in producing varying effects on intergenerational support. Data were taken from the 2006 East Asian Social Survey. Results confirmed that the patriarchal family model of intergenerational support remains strong in both China and Taiwan. The traditional Chinese filial norms significantly accounted for all aspects of intergenerational support examined.
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View paper →Jewish Problems
Tanya Khovanova, Alexey Radul
arXiv·2011
This is a special collection of problems that were given to select applicants during oral entrance exams to the math department of Moscow State University. These problems were designed to prevent Jews and other undesirables from getting a passing grade. Among problems that were used by the department to blackball unwanted candidate students, these problems are distinguished by having a simple solution that is difficult to find. Using problems with a simple solution protected the administration from extra complaints and appeals. This collection therefore has mathematical as well as historical value.
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View paper →The structure of approximate groups
Emmanuel Breuillard, Ben Green, Terence Tao
arXiv·2011
Let K >= 1 be a parameter. A K-approximate group is a finite set A in a (local) group which contains the identity, is symmetric, and such that A^2 is covered by K left translates of A.
The main result of this paper is a qualitative description of approximate groups as being essentially finite-by-nilpotent, answering a conjecture of H. Helfgott and E. Lindenstrauss. This may be viewed as a generalisation of the Freiman-Ruzsa theorem on sets of small doubling in the integers to arbitrary groups.
We begin by establishing a correspondence principle between approximate groups and locally compact (local) groups that allows us to recover many results recently established in a fundamental paper of Hrushovski. In particular we establish that approximate groups can be approximately modeled by Lie groups.
To prove our main theorem we apply some additional arguments essentially due to Gleason. These arose in the solution of Hilbert's fifth problem in the 1950s.
Applications of our main theorem include a finitary refinement of Gromov's theorem, as well as a generalized Margulis lemma conjectured by Gromov and a result on the virtual nilpotence of the fundamental group of Ricci almost nonnegatively curved manifolds.
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