Stochastic and Integral Geometry | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart Book cover Book © 2008 …

The study of high-dimensional convex bodies from a geometric and analytic point of view,
with an emphasis on the dependence of various parameters on the dimension stands at the …

The quest to build a quantum computer is arguably one of the major scientific and
technological challenges of the twenty-first century, and quantum information theory (QIT) …

We study the behaviour of the smallest singular value of a rectangular random matrix, ie,
matrix whose entries are independent random variables satisfying some additional …

Convex polytopes are fundamental geometric objects that have been investigated since
antiquity. The beauty of their theory is nowadays complemented by their importance for …

We present a randomized method to approximate any vector υ from a set T ⊂ R^ n. The data
one is given is the set T, vectors (X_i)^ k _ i= 1 of R^ n and k scalar products (⟨ X_i, υ ⟩)^ k …

This is an FAQ to answer some basic questions arising from certain geometric computation
in general dimensional (mostly Euclidean) space. The main areas to be covered are the …

Approximation of convex sets by polytopes | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of …

Unit cubes, from any point of view, are among the simplest and the most important objects in
$ n $-dimensional Euclidean space. In fact, as one will see from this survey, they are not …

Eight topics about the unit cubes are introduced within this textbook: cross sections,
projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture …