Recent probabilistic results on covariant Schr\"odinger operators on infinite weighted graphs

  title={Recent probabilistic results on covariant Schr\"odinger operators on infinite weighted graphs},
  author={Batu Guneysu and Ognjen Milatovic},
  journal={arXiv: Mathematical Physics},
We review recent probabilistic results on covariant Schr\"odinger operators on vector bundles over (possibly locally infinite) weighted graphs, and explain applications like semiclassical limits. We also clarify the relationship between these results and their formal analogues on smooth (possibly noncompact) Riemannian manifolds. 



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