3 papers
math.PR2026
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…
math.PR2025
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…
math.PR2024
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\i…