[{"acknowledgement":"We are grateful to Areg Ghazaryan for valuable discussions. M.L. acknowledges support from the Austrian Science Fund (FWF) under Project No. P29902-N27 and from the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). G.B. acknowledges support from the Austrian Science Fund (FWF) under Project No. M2461-N27. A.D. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the European Research Council (ERC) Grant Agreement No. 694227 and under the Marie Sklodowska-Curie Grant Agreement No. 836146. R.S. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2111 – 390814868.","year":"2020","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publisher":"AIP Publishing","publication_status":"published","related_material":{"record":[{"id":"8958","status":"public","relation":"dissertation_contains"}]},"author":[{"full_name":"Li, Xiang","last_name":"Li","first_name":"Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Enderalp","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp"},{"full_name":"Bighin, Giacomo","orcid":"0000-0001-8823-9777","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","last_name":"Bighin","first_name":"Giacomo"},{"first_name":"Richard","last_name":"Schmidt","full_name":"Schmidt, Richard"},{"orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail","full_name":"Lemeshko, Mikhail"},{"first_name":"Andreas","last_name":"Deuchert","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","full_name":"Deuchert, Andreas"}],"volume":152,"date_created":"2020-09-30T10:33:17Z","date_updated":"2023-09-07T13:16:42Z","article_number":"164302","ec_funded":1,"main_file_link":[{"url":"https://arxiv.org/abs/1912.02658","open_access":"1"}],"external_id":{"isi":["000530448300001"],"arxiv":["1912.02658"]},"oa":1,"project":[{"grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF"},{"grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425","name":"Angulon: physics and applications of a new quasiparticle","call_identifier":"H2020"},{"name":"A path-integral approach to composite impurities","call_identifier":"FWF","grant_number":"M02641","_id":"26986C82-B435-11E9-9278-68D0E5697425"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"quality_controlled":"1","isi":1,"doi":"10.1063/1.5144759","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1089-7690"],"issn":["0021-9606"]},"month":"04","_id":"8587","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","intvolume":" 152","title":"Intermolecular forces and correlations mediated by a phonon bath","status":"public","oa_version":"Preprint","type":"journal_article","issue":"16","abstract":[{"lang":"eng","text":"Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the effective interaction and the resulting correlations between two diatomic molecules immersed in a bath of bosons. By analogy with the bipolaron, we introduce the biangulon quasiparticle describing two rotating molecules that align with respect to each other due to the effective attractive interaction mediated by the excitations of the bath. We study this system in different parameter regimes and apply several theoretical approaches to describe its properties. Using a Born–Oppenheimer approximation, we investigate the dependence of the effective intermolecular interaction on the rotational state of the two molecules. In the strong-coupling regime, a product-state ansatz shows that the molecules tend to have a strong alignment in the ground state. To investigate the system in the weak-coupling regime, we apply a one-phonon excitation variational ansatz, which allows us to access the energy spectrum. In comparison to the angulon quasiparticle, the biangulon shows shifted angulon instabilities and an additional spectral instability, where resonant angular momentum transfer between the molecules and the bath takes place. These features are proposed as an experimentally observable signature for the formation of the biangulon quasiparticle. Finally, by using products of single angulon and bare impurity wave functions as basis states, we introduce a diagonalization scheme that allows us to describe the transition from two separated angulons to a biangulon as a function of the distance between the two molecules."}],"citation":{"mla":"Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics, vol. 152, no. 16, 164302, AIP Publishing, 2020, doi:10.1063/1.5144759.","short":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The Journal of Chemical Physics 152 (2020).","chicago":"Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated by a Phonon Bath.” The Journal of Chemical Physics. AIP Publishing, 2020. https://doi.org/10.1063/1.5144759.","ama":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 2020;152(16). doi:10.1063/1.5144759","ista":"Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. 2020. Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. 152(16), 164302.","ieee":"X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert, “Intermolecular forces and correlations mediated by a phonon bath,” The Journal of Chemical Physics, vol. 152, no. 16. AIP Publishing, 2020.","apa":"Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., & Deuchert, A. (2020). Intermolecular forces and correlations mediated by a phonon bath. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/1.5144759"},"publication":"The Journal of Chemical Physics","article_type":"original","date_published":"2020-04-27T00:00:00Z","keyword":["Physical and Theoretical Chemistry","General Physics and Astronomy"],"article_processing_charge":"No","day":"27"},{"type":"dissertation","alternative_title":["ISTA Thesis"],"abstract":[{"text":"The oft-quoted dictum by Arthur Schawlow: ``A diatomic molecule has one atom too many'' has been disavowed. Inspired by the possibility to experimentally manipulate and enhance chemical reactivity in helium nanodroplets, we investigate the rotation of coupled cold molecules in the presence of a many-body environment.\r\nIn this thesis, we introduce new variational approaches to quantum impurities and apply them to the Fröhlich polaron - a quasiparticle formed out of an electron (or other point-like impurity) in a polar medium, and to the angulon - a quasiparticle formed out of a rotating molecule in a bosonic bath.\r\nWith this theoretical toolbox, we reveal the self-localization transition for the angulon quasiparticle. We show that, unlike for polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. \r\nFor the system containing multiple impurities, by analogy with the bipolaron, we introduce the biangulon quasiparticle describing two rotating molecules that align with respect to each other due to the effective attractive interaction mediated by the excitations of the bath. We study this system from the strong-coupling regime to the weak molecule-bath interaction regime. We show that the molecules tend to have a strong alignment in the ground state, the biangulon shows shifted angulon instabilities and an additional spectral instability, where resonant angular momentum transfer between the molecules and the bath takes place. Finally, we introduce a diagonalization scheme that allows us to describe the transition from two separated angulons to a biangulon as a function of the distance between the two molecules.","lang":"eng"}],"_id":"8958","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Rotation of coupled cold molecules in the presence of a many-body environment","ddc":["539"],"status":"public","file":[{"relation":"main_file","file_id":"8967","date_created":"2020-12-22T10:55:56Z","date_updated":"2020-12-22T10:55:56Z","checksum":"3994c54a1241451d561db1d4f43bad30","success":1,"file_name":"THESIS_Xiang_Li.pdf","access_level":"open_access","content_type":"application/pdf","file_size":3622305,"creator":"xli"},{"file_size":4018859,"content_type":"application/x-zip-compressed","creator":"xli","access_level":"closed","file_name":"THESIS_Xiang_Li.zip","checksum":"0954ecfc5554c05615c14de803341f00","date_created":"2020-12-22T10:56:03Z","date_updated":"2020-12-30T07:18:03Z","relation":"source_file","file_id":"8968"}],"oa_version":"Published Version","has_accepted_license":"1","article_processing_charge":"No","day":"21","citation":{"apa":"Li, X. (2020). Rotation of coupled cold molecules in the presence of a many-body environment. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:8958","ieee":"X. Li, “Rotation of coupled cold molecules in the presence of a many-body environment,” Institute of Science and Technology Austria, 2020.","ista":"Li X. 2020. Rotation of coupled cold molecules in the presence of a many-body environment. Institute of Science and Technology Austria.","ama":"Li X. Rotation of coupled cold molecules in the presence of a many-body environment. 2020. doi:10.15479/AT:ISTA:8958","chicago":"Li, Xiang. “Rotation of Coupled Cold Molecules in the Presence of a Many-Body Environment.” Institute of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:8958.","short":"X. Li, Rotation of Coupled Cold Molecules in the Presence of a Many-Body Environment, Institute of Science and Technology Austria, 2020.","mla":"Li, Xiang. Rotation of Coupled Cold Molecules in the Presence of a Many-Body Environment. Institute of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:8958."},"page":"125","date_published":"2020-12-21T00:00:00Z","ec_funded":1,"file_date_updated":"2020-12-30T07:18:03Z","year":"2020","department":[{"_id":"MiLe"}],"publisher":"Institute of Science and Technology Austria","publication_status":"published","related_material":{"record":[{"id":"5886","relation":"part_of_dissertation","status":"public"},{"id":"8587","relation":"part_of_dissertation","status":"public"},{"id":"1120","relation":"part_of_dissertation","status":"public"}]},"author":[{"full_name":"Li, Xiang","first_name":"Xiang","last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2020-12-21T09:44:30Z","date_updated":"2023-09-20T11:30:58Z","publication_identifier":{"issn":["2663-337X"]},"month":"12","oa":1,"project":[{"grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425","name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF"},{"call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425"}],"doi":"10.15479/AT:ISTA:8958","language":[{"iso":"eng"}],"supervisor":[{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail"}],"degree_awarded":"PhD"},{"abstract":[{"lang":"eng","text":"Problems involving quantum impurities, in which one or a few particles are interacting with a macroscopic environment, represent a pervasive paradigm, spanning across atomic, molecular, and condensed-matter physics. In this paper we introduce new variational approaches to quantum impurities and apply them to the Fröhlich polaron–a quasiparticle formed out of an electron (or other point-like impurity) in a polar medium, and to the angulon–a quasiparticle formed out of a rotating molecule in a bosonic bath. We benchmark these approaches against established theories, evaluating their accuracy as a function of the impurity-bath coupling."}],"type":"journal_article","oa_version":"Published Version","file":[{"file_id":"5896","relation":"main_file","date_created":"2019-01-29T08:32:57Z","date_updated":"2020-07-14T12:47:13Z","checksum":"178964744b636a6f036372f4f090a657","file_name":"2019_MolecularPhysics_Li.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","file_size":1309966}],"title":"Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon","ddc":["530"],"status":"public","_id":"5886","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","has_accepted_license":"1","article_processing_charge":"No","day":"18","scopus_import":"1","date_published":"2019-01-18T00:00:00Z","citation":{"apa":"Li, X., Bighin, G., Yakaboylu, E., & Lemeshko, M. (2019). Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. Molecular Physics. Taylor and Francis. https://doi.org/10.1080/00268976.2019.1567852","ieee":"X. Li, G. Bighin, E. Yakaboylu, and M. Lemeshko, “Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon,” Molecular Physics. Taylor and Francis, 2019.","ista":"Li X, Bighin G, Yakaboylu E, Lemeshko M. 2019. Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. Molecular Physics.","ama":"Li X, Bighin G, Yakaboylu E, Lemeshko M. Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. Molecular Physics. 2019. doi:10.1080/00268976.2019.1567852","chicago":"Li, Xiang, Giacomo Bighin, Enderalp Yakaboylu, and Mikhail Lemeshko. “Variational Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” Molecular Physics. Taylor and Francis, 2019. https://doi.org/10.1080/00268976.2019.1567852.","short":"X. Li, G. Bighin, E. Yakaboylu, M. Lemeshko, Molecular Physics (2019).","mla":"Li, Xiang, et al. “Variational Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” Molecular Physics, Taylor and Francis, 2019, doi:10.1080/00268976.2019.1567852."},"publication":"Molecular Physics","license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"file_date_updated":"2020-07-14T12:47:13Z","date_created":"2019-01-27T22:59:10Z","date_updated":"2023-09-07T13:16:42Z","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"8958"}]},"author":[{"full_name":"Li, Xiang","last_name":"Li","first_name":"Xiang","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Bighin","first_name":"Giacomo","orcid":"0000-0001-8823-9777","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","full_name":"Bighin, Giacomo"},{"first_name":"Enderalp","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp"},{"full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Taylor and Francis","department":[{"_id":"MiLe"}],"publication_status":"published","year":"2019","publication_identifier":{"issn":["00268976"]},"month":"01","language":[{"iso":"eng"}],"doi":"10.1080/00268976.2019.1567852","project":[{"name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425"},{"_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7"}],"quality_controlled":"1","isi":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000474641400008"]},"oa":1},{"publication_identifier":{"issn":["24699926"]},"month":"03","doi":"10.1103/PhysRevA.95.033608","language":[{"iso":"eng"}],"external_id":{"isi":["000395981900009"]},"main_file_link":[{"url":"https://arxiv.org/abs/1610.04908","open_access":"1"}],"oa":1,"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"FWF","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425"},{"_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","call_identifier":"FWF","name":"Quantum rotations in the presence of a many-body environment"}],"quality_controlled":"1","isi":1,"ec_funded":1,"publist_id":"6242","article_number":"033608","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"8958"}]},"author":[{"first_name":"Xiang","last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Xiang"},{"last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"},{"full_name":"Lemeshko, Mikhail","first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802"}],"volume":95,"date_updated":"2023-09-20T11:30:58Z","date_created":"2018-12-11T11:50:15Z","year":"2017","publisher":"American Physical Society","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"publication_status":"published","article_processing_charge":"No","day":"06","scopus_import":"1","date_published":"2017-03-06T00:00:00Z","citation":{"ama":"Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608","ieee":"X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3. American Physical Society, 2017.","apa":"Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. American Physical Society. https://doi.org/10.1103/PhysRevA.95.033608","ista":"Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.","short":"X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).","mla":"Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.","chicago":"Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A. American Physical Society, 2017. https://doi.org/10.1103/PhysRevA.95.033608."},"publication":"Physical Review A","issue":"3","abstract":[{"lang":"eng","text":"The existence of a self-localization transition in the polaron problem has been under an active debate ever since Landau suggested it 83 years ago. Here we reveal the self-localization transition for the rotational analogue of the polaron -- the angulon quasiparticle. We show that, unlike for the polarons, self-localization of angulons occurs at finite impurity-bath coupling already at the mean-field level. The transition is accompanied by the spherical-symmetry breaking of the angulon ground state and a discontinuity in the first derivative of the ground-state energy. Moreover, the type of the symmetry breaking is dictated by the symmetry of the microscopic impurity-bath interaction, which leads to a number of distinct self-localized states. The predicted effects can potentially be addressed in experiments on cold molecules trapped in superfluid helium droplets and ultracold quantum gases, as well as on electronic excitations in solids and Bose-Einstein condensates. "}],"type":"journal_article","oa_version":"Published Version","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"1120","intvolume":" 95","status":"public","title":"Angular self-localization of impurities rotating in a bosonic bath"},{"scopus_import":"1","publication_identifier":{"isbn":["9781581131840"]},"article_processing_charge":"No","month":"06","day":"01","citation":{"apa":"Edelsbrunner, H., Li, X., Miller, G., Stathopoulos, A., Talmor, D., Teng, S., … Walkington, N. (2000). Smoothing and cleaning up slivers. In Proceedings of the 32nd annual ACM symposium on Theory of computing (pp. 273–277). Portland, OR, USA: ACM. https://doi.org/10.1145/335305.335338","ieee":"H. Edelsbrunner et al., “Smoothing and cleaning up slivers,” in Proceedings of the 32nd annual ACM symposium on Theory of computing, Portland, OR, USA, 2000, pp. 273–277.","ista":"Edelsbrunner H, Li X, Miller G, Stathopoulos A, Talmor D, Teng S, Üngör A, Walkington N. 2000. Smoothing and cleaning up slivers. Proceedings of the 32nd annual ACM symposium on Theory of computing. STOC: Symposium on the Theory of Computing, 273–277.","ama":"Edelsbrunner H, Li X, Miller G, et al. Smoothing and cleaning up slivers. In: Proceedings of the 32nd Annual ACM Symposium on Theory of Computing. ACM; 2000:273-277. doi:10.1145/335305.335338","chicago":"Edelsbrunner, Herbert, Xiang Li, Gary Miller, Andreas Stathopoulos, Dafna Talmor, Shang Teng, Alper Üngör, and Noel Walkington. “Smoothing and Cleaning up Slivers.” In Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, 273–77. ACM, 2000. https://doi.org/10.1145/335305.335338.","short":"H. Edelsbrunner, X. Li, G. Miller, A. Stathopoulos, D. Talmor, S. Teng, A. Üngör, N. Walkington, in:, Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, ACM, 2000, pp. 273–277.","mla":"Edelsbrunner, Herbert, et al. “Smoothing and Cleaning up Slivers.” Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, ACM, 2000, pp. 273–77, doi:10.1145/335305.335338."},"publication":"Proceedings of the 32nd annual ACM symposium on Theory of computing","page":"273 - 277","quality_controlled":"1","doi":"10.1145/335305.335338","date_published":"2000-06-01T00:00:00Z","conference":{"name":"STOC: Symposium on the Theory of Computing","end_date":"2000-05-23","location":"Portland, OR, USA","start_date":"2000-05-21"},"language":[{"iso":"eng"}],"type":"conference","publist_id":"2830","abstract":[{"text":"A sliver is a tetrahedron whose four vertices lie close to a plane and whose perpendicular projection to that plane is a convex quadrilateral with no short edge. Slivers are both undesirable and ubiquitous in 3-dimensional Delaunay triangulations. Even when the point-set is well-spaced, slivers may result. This paper shows that such a point set permits a small perturbation whose Delaunay triangulation contains no slivers. It also gives deterministic algorithms that compute the perturbation of n points in time O(n log n) with one processor and in time O(log n) with O(n) processors.","lang":"eng"}],"extern":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"3555","year":"2000","publisher":"ACM","title":"Smoothing and cleaning up slivers","status":"public","publication_status":"published","author":[{"full_name":"Edelsbrunner, Herbert","first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833"},{"first_name":"Xiang","last_name":"Li","id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","full_name":"Li, Xiang"},{"full_name":"Miller, Gary","last_name":"Miller","first_name":"Gary"},{"last_name":"Stathopoulos","first_name":"Andreas","full_name":"Stathopoulos, Andreas"},{"full_name":"Talmor, Dafna","first_name":"Dafna","last_name":"Talmor"},{"last_name":"Teng","first_name":"Shang","full_name":"Teng, Shang"},{"first_name":"Alper","last_name":"Üngör","full_name":"Üngör, Alper"},{"first_name":"Noel","last_name":"Walkington","full_name":"Walkington, Noel"}],"oa_version":"None","date_created":"2018-12-11T12:03:56Z","date_updated":"2023-05-02T14:07:00Z"}]