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We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotyp...
Weak disorder in the stochastic mean-field model of distance II
First passage percolation complete graph extreme value theory hopcount
2010/12/9
In this paper, we study the complete graph Kn with n vertices, where we attach an i.i.d. weight to each of the n(n − 1)/2 edges. We focus on the weight Wn and the number of edges Hn of the minim...
Weak convergence of random walks conditioned to stay away
Weak convergence walks conditioned
2010/11/29
Let {Xn}n∈N be a sequence of i.i.d. randomvariables in Zd. Let Sk = X1 + ...+ Xk and Yn(t) be the continuous process on [0, 1] for which Yn(k/n) = Sk/√n k = 1, ..., n and which is linearly interpolate...