Moritz Gerlach

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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

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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…