{"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"citation":{"mla":"Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead Ends.” <i>ArXiv:2307.10876</i>, 2023.","chicago":"Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences for Finite Graphs without Dead Ends.” <i>ArXiv:2307.10876</i>, 2023.","apa":"Bux, K.-U., Hilgert, J., &#38; Weich, T. (2023). Spectral correspondences for finite graphs without dead ends. In <i>arXiv:2307.10876</i>.","short":"K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).","bibtex":"@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and Hilgert, Joachim and Weich, Tobias}, year={2023} }","ieee":"K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite graphs without dead ends,” <i>arXiv:2307.10876</i>. 2023.","ama":"Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without dead ends. <i>arXiv:230710876</i>. Published online 2023."},"type":"preprint","author":[{"full_name":"Bux, Kai-Uwe","last_name":"Bux","first_name":"Kai-Uwe"},{"full_name":"Hilgert, Joachim","last_name":"Hilgert","id":"220","first_name":"Joachim"},{"orcid":"0000-0002-9648-6919","first_name":"Tobias","id":"49178","full_name":"Weich, Tobias","last_name":"Weich"}],"year":"2023","user_id":"49063","_id":"51205","status":"public","date_created":"2024-02-06T20:54:28Z","external_id":{"arxiv":["2307.10876"]},"publication":"arXiv:2307.10876","abstract":[{"text":"We compare the spectral properties of two kinds of linear operators\r\ncharacterizing the (classical) geodesic flow and its quantization on connected\r\nlocally finite graphs without dead ends. The first kind are transfer operators\r\nacting on vector spaces associated with the set of non backtracking paths in\r\nthe graphs. The second kind of operators are averaging operators acting on\r\nvector spaces associated with the space of vertices of the graph. The choice of\r\nvector spaces reflects regularity properties. Our main results are\r\ncorrespondences between classical and quantum spectral objects as well as some\r\nautomatic regularity properties for eigenfunctions of transfer operators.","lang":"eng"}],"title":"Spectral correspondences for finite graphs without dead ends","date_updated":"2024-02-19T06:29:24Z","language":[{"iso":"eng"}]}