Zobrazeno 1 - 10
of 727
pro vyhledávání: '"Keller, Matthias"'
Continuous fields (or bundles) of $C^*$-algebras form an important ingredient for describing emergent phenomena, such as phase transitions and spontaneous symmetry breaking. In this work, we consider the continuous $C^*$-bundle generated by increasin
Externí odkaz:
http://arxiv.org/abs/2410.08538
In this note we study Landis conjecture for positive Schr\"odinger operators on graphs. More precisely, we give a decay criterion that ensures when $ \mathcal{H} $-harmonic functions for a positive Schr\"odinger operator $ \mathcal{H} $ with potentia
Externí odkaz:
http://arxiv.org/abs/2408.02149
We study Hardy inequalities for $p$-Schr\"odinger operators on general weighted graphs. Specifically, we prove a Maz'ya-type result, where we characterize the space of Hardy weights for $ p $-Schr\"odinger operators via a generalized capacity. The no
Externí odkaz:
http://arxiv.org/abs/2407.02116
Autor:
Keller, Matthias, Rose, Christian
We investigate the equivalence of Sobolev inequalities and the conjunction of Gaussian upper heat kernel bounds and volume doubling on large scales on graphs. For the normalizing measure, we obtain their equivalence up to constants by imposing compar
Externí odkaz:
http://arxiv.org/abs/2406.19879
Autor:
Keller, Matthias, Muranova, Anna
We introduce the notion of recurrence and transience for graphs over non-Archimedean ordered field. To do so we relate these graphs to random walks of directed graphs over the reals. In particular, we give a characterization of the real directed grap
Externí odkaz:
http://arxiv.org/abs/2406.17344
We study heat kernel convergence of induced subgraphs with Neumann boundary conditions. We first establish convergence of the resulting semigroups to the Neumann semigroup in $\ell^2$. While convergence to the Neumann semigroup always holds, converge
Externí odkaz:
http://arxiv.org/abs/2310.14927
In this article we study the notion of capacity of a vertex for infinite graphs over non-Archimedean fields. In contrast to graphs over the real field monotone limits do not need to exist. Thus, in our situation next to positive and null capacity the
Externí odkaz:
http://arxiv.org/abs/2308.13264