4 papers · 1 filter
Random volumes in d-dimensional polytopes
Alan Frieze, Wesley Pegden, Tomasz Tkocz
Suppose we choose points uniformly randomly from a convex body in dimensions. How large must be, asymptotically with respect to , so that the convex hull of the poin…
Comparison of moments of Rademacher chaoses
Paata Ivanisvili, Tomasz Tkocz
We show that complex hypercontractivity gives better constants than real hypercontractivity in comparison inequalities for (low) moments of Rademacher chaoses (homogeneous polynomi…
Stochastic dominance and weak concentration for sums of independent symmetric random vectors
Witold Bednorz, Tomasz Tkocz
Kwapien and Woyczynski asked in their monograph (1992) whether their notion of superstrong domination is inherited when taking sums of independent symmetric random vectors (one vec…
A note on the tensor product of two random unitary matrices
Tomasz Tkocz
In this note we consider the point process of eigenvalues of the tensor product of two independent random unitary matrices of size m by m and n by n. When n becomes large, the proc…