Generalized Schrödinger semigroups on infinite graphs
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Publication:2509990
DOI10.1007/s11118-013-9381-6zbMath1296.47038arXiv1306.6062OpenAlexW1977627955MaRDI QIDQ2509990
Batu Güneysu, Ognjen Milatovic, Françoise Truc
Publication date: 31 July 2014
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.6062
Discrete version of topics in analysis (39A12) Schrödinger and Feynman-Kac semigroups (47D08) Signed and weighted graphs (05C22)
Related Items (10)
A Feynman-Kac-Itô formula for magnetic Schrödinger operators on graphs ⋮ Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes ⋮ The generalized porous medium equation on graphs: existence and uniqueness of solutions with \(\ell^1\) data ⋮ Magnetic-sparseness and Schrödinger operators on graphs ⋮ Covariant Symanzik identities ⋮ Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs ⋮ Riesz decompositions for Schrödinger operators on graphs ⋮ Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs ⋮ Semiclassical limits of quantum partition functions on infinite graphs ⋮ A note on the surjectivity of operators on vector bundles over discrete spaces
Cites Work
- Unnamed Item
- A Feynman-Kac-Itô formula for magnetic Schrödinger operators on graphs
- Path integrals and the essential self-adjointness of differential operators on noncompact manifolds
- On generalized Schrödinger semigroups
- Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs
- The Feynman-Kac formula for Schrödinger operators on vector bundles over complete manifolds
- Asymptotic heat kernel expansion in the semi-classical limit
- Spanning forests and the vector bundle Laplacian
- Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds
- Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below
- Kato class measures of symmetric Markov processes under heat kernel estimates
- Perturbation of Dirichlet forms by measures
- Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- Vector diffusion maps and the connection Laplacian
- Schrödinger semigroups
- Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
- Laplacian and vibrational spectra for homogeneous graphs
- Markov Chains
- Kato’s inequality and form boundedness of Kato potentials on arbitrary Riemannian manifolds
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