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math.FA2011
On Projections of Metric Spaces
Mark Kozdoba
Let be a metric space and let be a probability measure on it. Consider a Lipschitz map $T: X \rightarrow \Rn$, with Lipschitz constant . Then one can ask whether th…
math.FA2009
On the smallest L_2 projection of a curve in R^n
Mark Kozdoba
For a curve T:[0,1] -> R^n, we consider the directions theta in R^n which T "misses" the most and quantify this, as a function of the L_2 norm of T's differential.