|Diophantine Approximation and parametric Geometry of Numbers|
Abstract: Dirichlet's Theorem gives bounds for simultaneous rational approximations to an n-tuple of real numbers when the denominator is below a given parameter Q. How do best approximations vary as a function of Q ? More generally, we are interested in how quantities of Minkowski's Geometry of Numbers vary as a function of q>0 when a convex body is subjected to the q-th power of a given linear map T.
|Web page: Alexandru I. Suciu||Posted: January 27, 2011|
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