Moritz Gerlach

activity

20162018

most citedError estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator

12 citations · 12 across the 1 of their papers we have counts for

collaborators

3 papers

stat.ML2018★ 12 cited

Error estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator

Nicolas Garcia Trillos, Moritz Gerlach, Matthias Hein +1

We study the convergence of the graph Laplacian of a random geometric graph generated by an i.i.d. sample from a $m$ -dimensional submanifold $M$ in $R^{d}$ as the sample size $n$ inc…

math.FA2017

On a Convergence Theorem for Semigroups of Positive Integral Operators

Moritz Gerlach, Jochen Glück

We give a new and very short proof of a theorem of Greiner asserting that a positive and contractive $C_{0}$ -semigroup on an $L^{p}$ -space is strongly convergent in case that it has a…

math.FA2016

Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups

Moritz Gerlach, Jochen Glück

If $(T_{t})$ is a semigroup of Markov operators on an $L^{1}$ -space that admits a non-trivial lower bound, then a well-known theorem of Lasota and Yorke asserts that the semigroup is s…