17 citations · 55 across the 10 of their papers we have counts for
15 papers
A Generalization of Lévy's Theorem on Positive Matrix Semigroups
Moritz Gerlach
We generalize a fundamental theorem on positive matrix semigroups stating that each component is either strictly positive for all times or identically zero ("Lévy's Theorem"). Our…
On Characteristics of the Range of Integral Operators
Moritz Gerlach, Jochen Glück
We show that a positive operator between -spaces is given by integration against a kernel function if and only if the image of each positive function has a lower semi-continuo…
Stability of transition semigroups and applications to parabolic equations
Moritz Gerlach, Jochen Glück, Markus Kunze
The paper deals with the long-term behavior of positive operator semigroups on spaces of bounded functions and of signed measures, which have applications to parabolic equations wi…
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 -dimensional submanifold in as the sample size inc…
Mean ergodicity vs weak almost periodicity
Moritz Gerlach, Jochen Glück
We provide explicit examples of positive and power-bounded operators on and which are mean ergodic but not weakly almost periodic. As a consequence we prove tha…
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 -semigroup on an -space is strongly convergent in case that it has a…