17 citations · 58 across the 20 of their papers we have counts for
26 papers
Normal and Poisson approximation for Gibbs point processes with pair potentials
Christian Hirsch, Moritz Otto, Anne Marie Svane
We provide a Poisson approximation result for dependent thinnings of Gibbs point processes as well as qualitative and quantitative central limit theorems for geometric functionals…
Identifying cobordisms using kernel persistence
Yossi Bokor Bleile, Lisbeth Fajstrup, Teresa Heiss +2
Motivated by applications in chemistry, we give a homlogical definition of tunnels, or more generally cobordisms, connecting disjoint parts of a cell complex. For a filtered comple…
The asymptotic distribution of the scaled remainder for pseudo golden ratio expansions of a continuous random variable
Ira W. Herbst, Jesper Møller, Anne Marie Svane
Let be the base- expansion of a continuous random variable on the unit interval where is the positive solution to $β^n = 1 + β+ \cdots +…
The asymptotic distribution of the remainder in a certain base- expansion
Ira W. Herbst, Jesper Møller, Anne Marie Svane
Let be the base- expansion of a continuous random variable on the unit interval where is the golden ratio. We study the asymptotic distr…
A functional central limit theorem for the K-function with an estimated intensity function
Anne Marie Svane, Christophe Biscio, Rasmus Waagepetersen
The -function is arguably the most important functional summary statistic for spatial point processes. It is used extensively for goodness-of-fit testing and in connection with…
Normal approximation for Gibbs processes via disagreement couplings
Christian Hirsch, Moritz Otto, Anne Marie Svane
This work improves the existing central limit theorems (CLTs) for geometric functionals of Gibbs processes in three aspects. First, we derive a CLT for weakly stabilizing functiona…