19,163 research outputs found
Semiinvariants of Finite Reflection Groups
Let G be a finite group of complex n by n unitary matrices generated by
reflections acting on C^n. Let R be the ring of invariant polynomials, and \chi
be a multiplicative character of G. Let \Omega^\chi be the R-module of
\chi-invariant differential forms. We define a multiplication in \Omega^\chi
and show that under this multiplication \Omega^\chi has an exterior algebra
structure. We also show how to extend the results to vector fields, and exhibit
a relationship between \chi-invariant forms and logarithmic forms.Comment: Paper presented at 1999 Joint Meetings in San Antonio, special
session on Geometry in Dynamics. Typo correcte
Stochastic modeling for the COMET-assay
We present a stochastic model for single cell gel electrophoresis (COMET-assay) data. Essential is the use of point process structures, renewal theory and reduction to intensity histograms for further data analysis
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