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math.FA2013★ 4 cited
On the Distribution of Random variables corresponding to Musielak-Orlicz norms
David Alonso-Gutierrez, Soeren Christensen, Markus Passenbrunner +1
Given a normalized Orlicz function we provide an easy formula for a distribution such that, if is a random variable distributed accordingly and are independen…
math.FA2013
Mean Width of Random Perturbations of Random Polytopes
David Alonso-Gutierrez, Joscha Prochno
We prove some "high probability" results on the expected value of the mean width for random perturbations of random polytopes. The random perturbations are considered for Gaussian…