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Microarrays, Empirical Bayes, and the Two-Groups Model
Empirical Bayes the Two-Groups Model
2015/8/20
The classic frequentist theory of hypothesis testing developed by Neyman, Pearson, and Fisher
has a claim to being the Twentieth Century’s most influential piece of applied mathematics. Somethi...
AVERAGES ALONG POLYNOMIAL SEQUENCES IN DISCRETE NILPOTENT GROUPS: SINGULAR RADON TRANSFORMS
AVERAGES ALONG POLYNOMIAL SEQUENCES DISCRETE NILPOTENT GROUPS SINGULAR RADON TRANSFORMS
2014/4/3
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Local quasiconvexity Coherence Small-cancellation Relative hyperbolicity
2010/12/8
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
We show that a surface group contained in a reductive real algebraic group can be deformed to become Zariski dense, unless its Zariski closure acts transitively on a Hermitian symmetric space of tube ...