2 citations · 2 across the 6 of their papers we have counts for
6 papers
Second-order Poincaré inequalities and localization on the Poisson space
Tara Trauthwein, J. E. Yukich
Given a mean zero functional of a Poisson measure on a metric space, we apply the Malliavin-Stein method to establish sharpened second-order Poincaré inequalities for $F/\sqrt{…
Triadic structures in multislice networks
Kevin Ren, Tara Trauthwein, Gesine Reinert
Networks provide a popular representation of complex data. Often, different types of relational measurements are taken on the same subjects. Such data can be represented as a \text…
Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space
Holger Sambale, Christoph Thäle, Tara Trauthwein
Consider a stationary Poisson process in the -dimensional Euclidean or hyperbolic space and construct a random graph with vertex set as follows. First, each point $x\inη…
Multivariate Second-Order -Poincaré Inequalities
Tara Trauthwein
In this work, we discuss new bounds for the normal approximation of multivariate Poisson functionals under minimal moment assumptions. Such bounds require one to estimate moments o…
Quantitative CLTs on the Poisson space via Skorohod estimates and -Poincaré inequalities
Tara Trauthwein
We establish new explicit bounds on the Gaussian approximation of Poisson functionals based on novel estimates of moments of Skorohod integrals. Combining these with the Malliavin-…
The distribution of rational numbers on Cantor's middle thirds set
Alexander Rahm, Noam Solomon, Tara Trauthwein +1
We give a heuristic for the number of reduced rationals on Cantor's middle thirds set, with a fixed bound on the denominator. We also describe extensive numerical computations supp…