activity
20192024
most citedQuantitative CLTs on the Poisson space via Skorohod estimates and -Poincaré inequalities

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2024

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…

math.PR2022★ 2 cited

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-…

math.NT2019

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…