{"external_id":{"arxiv":["2412.09708"]},"publication":"arXiv:2412.09708","user_id":"99427","_id":"63641","title":"On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups","citation":{"bibtex":"@article{Hinrichs_Hiroshima_2024, title={On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups}, journal={arXiv:2412.09708}, author={Hinrichs, Benjamin and Hiroshima, Fumio}, year={2024} }","mla":"Hinrichs, Benjamin, and Fumio Hiroshima. “On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups.” <i>ArXiv:2412.09708</i>, 2024.","ieee":"B. Hinrichs and F. Hiroshima, “On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups,” <i>arXiv:2412.09708</i>. 2024.","chicago":"Hinrichs, Benjamin, and Fumio Hiroshima. “On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups.” <i>ArXiv:2412.09708</i>, 2024.","apa":"Hinrichs, B., &#38; Hiroshima, F. (2024). On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups. In <i>arXiv:2412.09708</i>.","short":"B. Hinrichs, F. Hiroshima, ArXiv:2412.09708 (2024).","ama":"Hinrichs B, Hiroshima F. On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups. <i>arXiv:241209708</i>. Published online 2024."},"year":"2024","date_created":"2026-01-16T08:56:18Z","date_updated":"2026-01-16T08:56:37Z","type":"preprint","project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"department":[{"_id":"799"}],"status":"public","author":[{"id":"99427","first_name":"Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin"},{"last_name":"Hiroshima","full_name":"Hiroshima, Fumio","first_name":"Fumio"}],"language":[{"iso":"eng"}],"abstract":[{"text":"We present a simple functional integration based proof that the semigroups generated by the ultraviolet-renormalized translation-invariant non- and semi-relativistic Nelson Hamiltonians are positivity improving (and hence ergodic) with respect to the Fröhlich cone for arbitrary values of the total momentum. Our argument simplifies known proofs for ergodicity and the result is new in the semi-relativistic case.","lang":"eng"}]}