Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Moritz Gerlach"'
Publikováno v:
Transactions of the American Mathematical Society.
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 with unbounded coefficients and to stochastic analysis. The main results
Autor:
Moritz Gerlach, Jochen Glück
We show that a positive operator between $L^p$-spaces is given by integration against a kernel function if and only if the image of each positive function has a lower semi-continuous representative with respect to a suitable topology. This is a conse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b30e52c783c7af8ff323385a22ebc7f
http://arxiv.org/abs/2205.14397
http://arxiv.org/abs/2205.14397
Publikováno v:
Foundations of Computational Mathematics. 20:827-887
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 $${\mathcal {M}}$$ in $$\mathbb {R}^d$$ as the sample size n increases and the neighborhood size h tends to zer
Publikováno v:
Semigroup Forum. 98:48-63
We characterize Markov lattice semigroups induced by measurable semiflows on probability spaces by properties of their generators. In addition we construct topological models on compact spaces for such semigroups.
Comment: Small adjustment in th
Comment: Small adjustment in th
Autor:
Moritz Gerlach
Publikováno v:
Israel Journal of Mathematics. 225:451-463
We complete the picture how the asymptotic behavior of a dynamical system is reflected by properties of the associated Perron-Frobenius operator. Our main result states that strong convergence of the powers of the Perron-Frobenius operator is equival
Autor:
Moritz Gerlach, Jochen Glück
Publikováno v:
Comptes Rendus Mathematique. 355:973-976
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 strictly positive fixed point and contains an integral operator. Our p
Autor:
Jochen Glück, Moritz Gerlach
Publikováno v:
Ergodic Theory and Dynamical Systems. 38:3012-3041
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 strongly convergent as $t \to \infty$. In this article we generalise an
Autor:
Moritz Gerlach, Jochen Glück
We present new conditions for semigroups of positive operators to converge strongly as time tends to infinity. Our proofs are based on a novel approach combining the well-known splitting theorem by Jacobs, de Leeuw and Glicksberg with a purely algebr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::543689a88400d9e8fd46c33ea4b9dcd3
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/47859
https://publishup.uni-potsdam.de/frontdoor/index/index/docId/47859
Autor:
Jochen Glück, Moritz Gerlach
We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a37c921c9754b32e2f6d1298b810312
Autor:
Moritz Gerlach, Markus Kunze
Publikováno v:
Mathematische Nachrichten. 288:584-592
Consider the lattice of bounded linear operators on the space of Borel measures on a Polish space. We prove that the operators which are continuous with respect to the weak topology induced by the bounded measurable functions form a sublattice that i