Convexity, complexity, and high dimensions
نویسنده
چکیده
We discuss metric, algorithmic and geometric issues related to broadly understood complexity of high dimensional convex sets. The specific topics we bring up include metric entropy and its duality, derandomization of constructions of normed spaces or of convex bodies, and different fundamental questions related to geometric diversity of such bodies, as measured by various isomorphic (as opposed to isometric) invariants. Mathematics Subject Classification (2000). Primary 46B20; Secondary 46B09, 47B06, 52A21, 52C17, 15A52, 90C25, 94B75.
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تاریخ انتشار 2006