[{"type":"journal_article","status":"public","project":[{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"_id":"63637","user_id":"99427","department":[{"_id":"799"}],"article_type":"original","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"citation":{"ieee":"B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb–Robinson Bounds for a Class of Continuum Fermions,” <i>Annales Henri Poincaré</i>, vol. 26, no. 1, pp. 41–80, 2024, doi: <a href=\"https://doi.org/10.1007/s00023-024-01453-y\">10.1007/s00023-024-01453-y</a>.","chicago":"Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb–Robinson Bounds for a Class of Continuum Fermions.” <i>Annales Henri Poincaré</i> 26, no. 1 (2024): 41–80. <a href=\"https://doi.org/10.1007/s00023-024-01453-y\">https://doi.org/10.1007/s00023-024-01453-y</a>.","ama":"Hinrichs B, Lemm M, Siebert O. On Lieb–Robinson Bounds for a Class of Continuum Fermions. <i>Annales Henri Poincaré</i>. 2024;26(1):41-80. doi:<a href=\"https://doi.org/10.1007/s00023-024-01453-y\">10.1007/s00023-024-01453-y</a>","apa":"Hinrichs, B., Lemm, M., &#38; Siebert, O. (2024). On Lieb–Robinson Bounds for a Class of Continuum Fermions. <i>Annales Henri Poincaré</i>, <i>26</i>(1), 41–80. <a href=\"https://doi.org/10.1007/s00023-024-01453-y\">https://doi.org/10.1007/s00023-024-01453-y</a>","short":"B. Hinrichs, M. Lemm, O. Siebert, Annales Henri Poincaré 26 (2024) 41–80.","mla":"Hinrichs, Benjamin, et al. “On Lieb–Robinson Bounds for a Class of Continuum Fermions.” <i>Annales Henri Poincaré</i>, vol. 26, no. 1, Springer Science and Business Media LLC, 2024, pp. 41–80, doi:<a href=\"https://doi.org/10.1007/s00023-024-01453-y\">10.1007/s00023-024-01453-y</a>.","bibtex":"@article{Hinrichs_Lemm_Siebert_2024, title={On Lieb–Robinson Bounds for a Class of Continuum Fermions}, volume={26}, DOI={<a href=\"https://doi.org/10.1007/s00023-024-01453-y\">10.1007/s00023-024-01453-y</a>}, number={1}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Hinrichs, Benjamin and Lemm, Marius and Siebert, Oliver}, year={2024}, pages={41–80} }"},"intvolume":"        26","page":"41-80","date_updated":"2026-01-16T09:05:58Z","oa":"1","author":[{"id":"99427","full_name":"Hinrichs, Benjamin","orcid":"0000-0001-9074-1205","last_name":"Hinrichs","first_name":"Benjamin"},{"first_name":"Marius","last_name":"Lemm","full_name":"Lemm, Marius"},{"first_name":"Oliver","full_name":"Siebert, Oliver","last_name":"Siebert"}],"volume":26,"main_file_link":[{"open_access":"1"}],"doi":"10.1007/s00023-024-01453-y","publication":"Annales Henri Poincaré","external_id":{"arxiv":["2310.17736"]},"language":[{"iso":"eng"}],"issue":"1","year":"2024","publisher":"Springer Science and Business Media LLC","date_created":"2026-01-16T08:46:12Z","title":"On Lieb–Robinson Bounds for a Class of Continuum Fermions"},{"author":[{"first_name":"Benjamin","full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue"},{"id":"50168","full_name":"Schütte, Philipp","last_name":"Schütte","first_name":"Philipp"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178","full_name":"Weich, Tobias"}],"date_created":"2024-04-11T12:30:14Z","volume":25,"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-11T12:37:34Z","doi":"10.1007/s00023-023-01379-x","title":"Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models","issue":"2","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"citation":{"bibtex":"@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }","mla":"Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","short":"B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.","apa":"Delarue, B., Schütte, P., &#38; Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>, <i>25</i>(2), 1607–1656. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>","ama":"Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>. 2023;25(2):1607-1656. doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>","ieee":"B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, pp. 1607–1656, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","chicago":"Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i> 25, no. 2 (2023): 1607–56. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>."},"page":"1607-1656","intvolume":"        25","year":"2023","user_id":"70575","department":[{"_id":"548"}],"_id":"53410","language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"type":"journal_article","publication":"Annales Henri Poincaré","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing, the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146, 2016) can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.</jats:p>"}]},{"year":"2023","issue":"6","title":"Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions","date_created":"2026-01-16T08:39:40Z","publisher":"Springer Science and Business Media LLC","publication":"Annales Henri Poincaré","language":[{"iso":"eng"}],"external_id":{"arxiv":["2211.14046"]},"citation":{"short":"B. Hinrichs, O. Matte, Annales Henri Poincaré 25 (2023) 2877–2940.","bibtex":"@article{Hinrichs_Matte_2023, title={Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>}, number={6}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023}, pages={2877–2940} }","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions.” <i>Annales Henri Poincaré</i>, vol. 25, no. 6, Springer Science and Business Media LLC, 2023, pp. 2877–940, doi:<a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>.","apa":"Hinrichs, B., &#38; Matte, O. (2023). Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions. <i>Annales Henri Poincaré</i>, <i>25</i>(6), 2877–2940. <a href=\"https://doi.org/10.1007/s00023-023-01369-z\">https://doi.org/10.1007/s00023-023-01369-z</a>","ieee":"B. Hinrichs and O. Matte, “Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions,” <i>Annales Henri Poincaré</i>, vol. 25, no. 6, pp. 2877–2940, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>.","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions.” <i>Annales Henri Poincaré</i> 25, no. 6 (2023): 2877–2940. <a href=\"https://doi.org/10.1007/s00023-023-01369-z\">https://doi.org/10.1007/s00023-023-01369-z</a>.","ama":"Hinrichs B, Matte O. Feynman–Kac Formula and Asymptotic Behavior of the Minimal Energy for the Relativistic Nelson Model in Two Spatial Dimensions. <i>Annales Henri Poincaré</i>. 2023;25(6):2877-2940. doi:<a href=\"https://doi.org/10.1007/s00023-023-01369-z\">10.1007/s00023-023-01369-z</a>"},"page":"2877-2940","intvolume":"        25","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"main_file_link":[{"open_access":"1"}],"doi":"10.1007/s00023-023-01369-z","author":[{"first_name":"Benjamin","id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205"},{"first_name":"Oliver","full_name":"Matte, Oliver","last_name":"Matte"}],"volume":25,"oa":"1","date_updated":"2026-01-16T09:05:26Z","status":"public","type":"journal_article","extern":"1","article_type":"original","user_id":"99427","department":[{"_id":"799"}],"_id":"63635"},{"external_id":{"arxiv":["2106.08659 "]},"language":[{"iso":"eng"}],"publication":"Annales Henri Poincaré","abstract":[{"lang":"eng","text":"We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman–Kac–Nelson (FKN) formula. We use this path integral representation to express the ground state energy as a stochastic integral. Based on this connection, we determine the expansion coefficients of the ground state energy with respect to the magnetic field strength and express them in terms of correlation functions of a continuous Ising model. From a recently proven correlation inequality, we can then deduce that the second order derivative is finite. As an application, we show existence of ground states in infrared-singular situations."}],"date_created":"2023-04-14T04:49:36Z","publisher":"Springer Science and Business Media LLC","title":"FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field","issue":"8","year":"2022","user_id":"99427","_id":"43492","extern":"1","article_type":"original","type":"journal_article","status":"public","author":[{"last_name":"Hasler","full_name":"Hasler, David","first_name":"David"},{"first_name":"Benjamin","id":"99427","full_name":"Hinrichs, Benjamin","last_name":"Hinrichs","orcid":"0000-0001-9074-1205"},{"last_name":"Siebert","full_name":"Siebert, Oliver","first_name":"Oliver"}],"volume":23,"oa":"1","date_updated":"2026-01-16T09:02:30Z","main_file_link":[{"open_access":"1"}],"doi":"10.1007/s00023-022-01160-6","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]},"citation":{"chicago":"Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field.” <i>Annales Henri Poincaré</i> 23, no. 8 (2022): 2819–53. <a href=\"https://doi.org/10.1007/s00023-022-01160-6\">https://doi.org/10.1007/s00023-022-01160-6</a>.","ieee":"D. Hasler, B. Hinrichs, and O. Siebert, “FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field,” <i>Annales Henri Poincaré</i>, vol. 23, no. 8, pp. 2819–2853, 2022, doi: <a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>.","ama":"Hasler D, Hinrichs B, Siebert O. FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field. <i>Annales Henri Poincaré</i>. 2022;23(8):2819-2853. doi:<a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>","apa":"Hasler, D., Hinrichs, B., &#38; Siebert, O. (2022). FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field. <i>Annales Henri Poincaré</i>, <i>23</i>(8), 2819–2853. <a href=\"https://doi.org/10.1007/s00023-022-01160-6\">https://doi.org/10.1007/s00023-022-01160-6</a>","short":"D. Hasler, B. Hinrichs, O. Siebert, Annales Henri Poincaré 23 (2022) 2819–2853.","mla":"Hasler, David, et al. “FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field.” <i>Annales Henri Poincaré</i>, vol. 23, no. 8, Springer Science and Business Media LLC, 2022, pp. 2819–53, doi:<a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>.","bibtex":"@article{Hasler_Hinrichs_Siebert_2022, title={FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field}, volume={23}, DOI={<a href=\"https://doi.org/10.1007/s00023-022-01160-6\">10.1007/s00023-022-01160-6</a>}, number={8}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2022}, pages={2819–2853} }"},"intvolume":"        23","page":"2819-2853"},{"language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"publication":"Annales Henri Poincaré","title":"Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds","date_created":"2022-06-20T08:37:52Z","publisher":"Springer Science and Business Media LLC","year":"2021","issue":"11","user_id":"70575","department":[{"_id":"548"}],"_id":"32006","status":"public","type":"journal_article","doi":"10.1007/s00023-021-01068-7","author":[{"last_name":"Guillarmou","full_name":"Guillarmou, Colin","first_name":"Colin"},{"last_name":"Küster","full_name":"Küster, Benjamin","first_name":"Benjamin"}],"volume":22,"date_updated":"2024-04-11T12:39:23Z","citation":{"ama":"Guillarmou C, Küster B. Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. <i>Annales Henri Poincaré</i>. 2021;22(11):3565-3617. doi:<a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>","chicago":"Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” <i>Annales Henri Poincaré</i> 22, no. 11 (2021): 3565–3617. <a href=\"https://doi.org/10.1007/s00023-021-01068-7\">https://doi.org/10.1007/s00023-021-01068-7</a>.","ieee":"C. Guillarmou and B. Küster, “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds,” <i>Annales Henri Poincaré</i>, vol. 22, no. 11, pp. 3565–3617, 2021, doi: <a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>.","apa":"Guillarmou, C., &#38; Küster, B. (2021). Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. <i>Annales Henri Poincaré</i>, <i>22</i>(11), 3565–3617. <a href=\"https://doi.org/10.1007/s00023-021-01068-7\">https://doi.org/10.1007/s00023-021-01068-7</a>","bibtex":"@article{Guillarmou_Küster_2021, title={Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds}, volume={22}, DOI={<a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>}, number={11}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Küster, Benjamin}, year={2021}, pages={3565–3617} }","mla":"Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” <i>Annales Henri Poincaré</i>, vol. 22, no. 11, Springer Science and Business Media LLC, 2021, pp. 3565–617, doi:<a href=\"https://doi.org/10.1007/s00023-021-01068-7\">10.1007/s00023-021-01068-7</a>.","short":"C. Guillarmou, B. Küster, Annales Henri Poincaré 22 (2021) 3565–3617."},"intvolume":"        22","page":"3565-3617","publication_status":"published","publication_identifier":{"issn":["1424-0637","1424-0661"]}},{"type":"journal_article","status":"public","_id":"31289","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"user_id":"49178","publication_identifier":{"issn":["1424-0637","1424-0661"]},"publication_status":"published","page":"37-52","intvolume":"        18","citation":{"chicago":"Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” <i>Annales Henri Poincaré</i> 18, no. 1 (2016): 37–52. <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">https://doi.org/10.1007/s00023-016-0514-5</a>.","ieee":"T. Weich, “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows,” <i>Annales Henri Poincaré</i>, vol. 18, no. 1, pp. 37–52, 2016, doi: <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>.","ama":"Weich T. On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. <i>Annales Henri Poincaré</i>. 2016;18(1):37-52. doi:<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>","short":"T. Weich, Annales Henri Poincaré 18 (2016) 37–52.","mla":"Weich, Tobias. “On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows.” <i>Annales Henri Poincaré</i>, vol. 18, no. 1, Springer Science and Business Media LLC, 2016, pp. 37–52, doi:<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>.","bibtex":"@article{Weich_2016, title={On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows}, volume={18}, DOI={<a href=\"https://doi.org/10.1007/s00023-016-0514-5\">10.1007/s00023-016-0514-5</a>}, number={1}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Weich, Tobias}, year={2016}, pages={37–52} }","apa":"Weich, T. (2016). On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows. <i>Annales Henri Poincaré</i>, <i>18</i>(1), 37–52. <a href=\"https://doi.org/10.1007/s00023-016-0514-5\">https://doi.org/10.1007/s00023-016-0514-5</a>"},"date_updated":"2022-05-19T10:15:36Z","volume":18,"author":[{"last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"}],"doi":"10.1007/s00023-016-0514-5","publication":"Annales Henri Poincaré","external_id":{"arxiv":["1511.08338"]},"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"issue":"1","year":"2016","publisher":"Springer Science and Business Media LLC","date_created":"2022-05-17T12:53:51Z","title":"On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows"}]