2 citations · 3 across the 4 of their papers we have counts for
4 papers
math.PR2014★ 2 cited
Probabilistic Star Discrepancy Bounds for Lacunary Point Sets
Thomas Löbbe
By a result of Heinrich, Novak, Wasilkowski and Woźniakowski the inverse of the star discrepancy satisfies $n(d,\varepsilon)\leq c_{\abs}d\varepsilon^{-2}$. Equi…
math.PR2014
Spectral Distribution of Non-independent Random Matrix Ensembles induced by Lacunary Systems
Thomas Löbbe
For two lacunary sequences and suitable functions we introduce random matrix ensembles with \begin{equation*} X_{n,n'}=f(M_{n+n',1}x_1…
math.PR2014
Star Discrepancy Bounds of Double Infinite Matrices induced by Lacunary Systems
Thomas Löbbe
In 2001 Heinrich, Novak, Wasilkowski and Woźniakowski proved that the inverse of the star discrepancy satisfies $n(d,\varepsilon)\leq c_{\abs}d \varepsilon^{-2}$ by showing that th…
math.PR2014★ 1 cited
Limit Theorems for Multivariate Lacunary Systems
Thomas Löbbe
Lacunary function systems of type for periodic functions and sequences of fast-growing matrices exhibit many properties of independent r…