{"citation":{"mla":"Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” <i>ArXiv:2511.02867</i>, 2025.","ieee":"B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems,” <i>arXiv:2511.02867</i>. 2025.","ama":"Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. <i>arXiv:251102867</i>. Published online 2025.","bibtex":"@article{Hinrichs_Polzer_2025, title={Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems}, journal={arXiv:2511.02867}, author={Hinrichs, Benjamin and Polzer, Steffen}, year={2025} }","short":"B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).","apa":"Hinrichs, B., &#38; Polzer, S. (2025). Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. In <i>arXiv:2511.02867</i>.","chicago":"Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” <i>ArXiv:2511.02867</i>, 2025."},"title":"Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems","_id":"63646","year":"2025","external_id":{"arxiv":["2511.02867"]},"user_id":"99427","publication":"arXiv:2511.02867","department":[{"_id":"799"}],"status":"public","author":[{"first_name":"Benjamin","id":"99427","orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs"},{"first_name":"Steffen","last_name":"Polzer","full_name":"Polzer, Steffen"}],"abstract":[{"lang":"eng","text":"We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one perturbation theory as well as renewal theory. We further apply our results in order to derive criteria for the existence and non-existence of ground states for a finite dimensional quantum system coupled to a bosonic field."}],"language":[{"iso":"eng"}],"date_updated":"2026-01-16T09:01:02Z","date_created":"2026-01-16T08:59:45Z","project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"type":"preprint"}