---
_id: '8587'
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.
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.
article_number: '164302'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Xiang
  full_name: Li, Xiang
  id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
  last_name: Li
- first_name: Enderalp
  full_name: Yakaboylu, Enderalp
  id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
  last_name: Yakaboylu
  orcid: 0000-0001-5973-0874
- first_name: Giacomo
  full_name: Bighin, Giacomo
  id: 4CA96FD4-F248-11E8-B48F-1D18A9856A87
  last_name: Bighin
  orcid: 0000-0001-8823-9777
- first_name: Richard
  full_name: Schmidt, Richard
  last_name: Schmidt
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Andreas
  full_name: Deuchert, Andreas
  id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
  last_name: Deuchert
  orcid: 0000-0003-3146-6746
citation:
  ama: Li X, Yakaboylu E, Bighin G, Schmidt R, Lemeshko M, Deuchert A. Intermolecular
    forces and correlations mediated by a phonon bath. <i>The Journal of Chemical
    Physics</i>. 2020;152(16). doi:<a href="https://doi.org/10.1063/1.5144759">10.1063/1.5144759</a>
  apa: Li, X., Yakaboylu, E., Bighin, G., Schmidt, R., Lemeshko, M., &#38; Deuchert,
    A. (2020). Intermolecular forces and correlations mediated by a phonon bath. <i>The
    Journal of Chemical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/1.5144759">https://doi.org/10.1063/1.5144759</a>
  chicago: Li, Xiang, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail
    Lemeshko, and Andreas Deuchert. “Intermolecular Forces and Correlations Mediated
    by a Phonon Bath.” <i>The Journal of Chemical Physics</i>. AIP Publishing, 2020.
    <a href="https://doi.org/10.1063/1.5144759">https://doi.org/10.1063/1.5144759</a>.
  ieee: X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, and A. Deuchert,
    “Intermolecular forces and correlations mediated by a phonon bath,” <i>The Journal
    of Chemical Physics</i>, vol. 152, no. 16. AIP Publishing, 2020.
  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.
  mla: Li, Xiang, et al. “Intermolecular Forces and Correlations Mediated by a Phonon
    Bath.” <i>The Journal of Chemical Physics</i>, vol. 152, no. 16, 164302, AIP Publishing,
    2020, doi:<a href="https://doi.org/10.1063/1.5144759">10.1063/1.5144759</a>.
  short: X. Li, E. Yakaboylu, G. Bighin, R. Schmidt, M. Lemeshko, A. Deuchert, The
    Journal of Chemical Physics 152 (2020).
date_created: 2020-09-30T10:33:17Z
date_published: 2020-04-27T00:00:00Z
date_updated: 2024-08-07T07:16:53Z
day: '27'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1063/1.5144759
ec_funded: 1
external_id:
  arxiv:
  - '1912.02658'
  isi:
  - '000530448300001'
intvolume: '       152'
isi: 1
issue: '16'
keyword:
- Physical and Theoretical Chemistry
- General Physics and Astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1912.02658
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '801770'
  name: 'Angulon: physics and applications of a new quasiparticle'
- _id: 26986C82-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: M02641
  name: A path-integral approach to composite impurities
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: The Journal of Chemical Physics
publication_identifier:
  eissn:
  - 1089-7690
  issn:
  - 0021-9606
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
  record:
  - id: '8958'
    relation: dissertation_contains
    status: public
status: public
title: Intermolecular forces and correlations mediated by a phonon bath
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 152
year: '2020'
...
---
_id: '8958'
abstract:
- lang: eng
  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."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Xiang
  full_name: Li, Xiang
  id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
  last_name: Li
citation:
  ama: Li X. Rotation of coupled cold molecules in the presence of a many-body environment.
    2020. doi:<a href="https://doi.org/10.15479/AT:ISTA:8958">10.15479/AT:ISTA:8958</a>
  apa: Li, X. (2020). <i>Rotation of coupled cold molecules in the presence of a many-body
    environment</i>. Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:8958">https://doi.org/10.15479/AT:ISTA:8958</a>
  chicago: Li, Xiang. “Rotation of Coupled Cold Molecules in the Presence of a Many-Body
    Environment.” Institute of Science and Technology Austria, 2020. <a href="https://doi.org/10.15479/AT:ISTA:8958">https://doi.org/10.15479/AT:ISTA:8958</a>.
  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.
  mla: Li, Xiang. <i>Rotation of Coupled Cold Molecules in the Presence of a Many-Body
    Environment</i>. Institute of Science and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:8958">10.15479/AT:ISTA:8958</a>.
  short: X. Li, Rotation of Coupled Cold Molecules in the Presence of a Many-Body
    Environment, Institute of Science and Technology Austria, 2020.
date_created: 2020-12-21T09:44:30Z
date_published: 2020-12-21T00:00:00Z
date_updated: 2024-08-07T07:16:53Z
day: '21'
ddc:
- '539'
degree_awarded: PhD
department:
- _id: MiLe
doi: 10.15479/AT:ISTA:8958
ec_funded: 1
file:
- access_level: open_access
  checksum: 3994c54a1241451d561db1d4f43bad30
  content_type: application/pdf
  creator: xli
  date_created: 2020-12-22T10:55:56Z
  date_updated: 2020-12-22T10:55:56Z
  file_id: '8967'
  file_name: THESIS_Xiang_Li.pdf
  file_size: 3622305
  relation: main_file
  success: 1
- access_level: closed
  checksum: 0954ecfc5554c05615c14de803341f00
  content_type: application/x-zip-compressed
  creator: xli
  date_created: 2020-12-22T10:56:03Z
  date_updated: 2020-12-30T07:18:03Z
  file_id: '8968'
  file_name: THESIS_Xiang_Li.zip
  file_size: 4018859
  relation: source_file
file_date_updated: 2020-12-30T07:18:03Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '125'
project:
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '801770'
  name: 'Angulon: physics and applications of a new quasiparticle'
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '5886'
    relation: part_of_dissertation
    status: public
  - id: '1120'
    relation: part_of_dissertation
    status: public
  - id: '8587'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
title: Rotation of coupled cold molecules in the presence of a many-body environment
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
---
_id: '5886'
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.
article_processing_charge: No
author:
- first_name: Xiang
  full_name: Li, Xiang
  id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
  last_name: Li
- first_name: Giacomo
  full_name: Bighin, Giacomo
  id: 4CA96FD4-F248-11E8-B48F-1D18A9856A87
  last_name: Bighin
  orcid: 0000-0001-8823-9777
- first_name: Enderalp
  full_name: Yakaboylu, Enderalp
  id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
  last_name: Yakaboylu
  orcid: 0000-0001-5973-0874
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
citation:
  ama: 'Li X, Bighin G, Yakaboylu E, Lemeshko M. Variational approaches to quantum
    impurities: from the Fröhlich polaron to the angulon. <i>Molecular Physics</i>.
    2019. doi:<a href="https://doi.org/10.1080/00268976.2019.1567852">10.1080/00268976.2019.1567852</a>'
  apa: 'Li, X., Bighin, G., Yakaboylu, E., &#38; Lemeshko, M. (2019). Variational
    approaches to quantum impurities: from the Fröhlich polaron to the angulon. <i>Molecular
    Physics</i>. Taylor and Francis. <a href="https://doi.org/10.1080/00268976.2019.1567852">https://doi.org/10.1080/00268976.2019.1567852</a>'
  chicago: 'Li, Xiang, Giacomo Bighin, Enderalp Yakaboylu, and Mikhail Lemeshko. “Variational
    Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” <i>Molecular
    Physics</i>. Taylor and Francis, 2019. <a href="https://doi.org/10.1080/00268976.2019.1567852">https://doi.org/10.1080/00268976.2019.1567852</a>.'
  ieee: 'X. Li, G. Bighin, E. Yakaboylu, and M. Lemeshko, “Variational approaches
    to quantum impurities: from the Fröhlich polaron to the angulon,” <i>Molecular
    Physics</i>. 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.'
  mla: 'Li, Xiang, et al. “Variational Approaches to Quantum Impurities: From the
    Fröhlich Polaron to the Angulon.” <i>Molecular Physics</i>, Taylor and Francis,
    2019, doi:<a href="https://doi.org/10.1080/00268976.2019.1567852">10.1080/00268976.2019.1567852</a>.'
  short: X. Li, G. Bighin, E. Yakaboylu, M. Lemeshko, Molecular Physics (2019).
date_created: 2019-01-27T22:59:10Z
date_published: 2019-01-18T00:00:00Z
date_updated: 2023-09-07T13:16:42Z
day: '18'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1080/00268976.2019.1567852
ec_funded: 1
external_id:
  isi:
  - '000474641400008'
file:
- access_level: open_access
  checksum: 178964744b636a6f036372f4f090a657
  content_type: application/pdf
  creator: dernst
  date_created: 2019-01-29T08:32:57Z
  date_updated: 2020-07-14T12:47:13Z
  file_id: '5896'
  file_name: 2019_MolecularPhysics_Li.pdf
  file_size: 1309966
  relation: main_file
file_date_updated: 2020-07-14T12:47:13Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Molecular Physics
publication_identifier:
  issn:
  - '00268976'
publication_status: published
publisher: Taylor and Francis
quality_controlled: '1'
related_material:
  record:
  - id: '8958'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Variational approaches to quantum impurities: from the Fröhlich polaron to
  the angulon'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2019'
...
---
_id: '1120'
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. '
article_number: '033608'
article_processing_charge: No
author:
- first_name: Xiang
  full_name: Li, Xiang
  id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
  last_name: Li
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
citation:
  ama: Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating
    in a bosonic bath. <i>Physical Review A</i>. 2017;95(3). doi:<a href="https://doi.org/10.1103/PhysRevA.95.033608">10.1103/PhysRevA.95.033608</a>
  apa: Li, X., Seiringer, R., &#38; Lemeshko, M. (2017). Angular self-localization
    of impurities rotating in a bosonic bath. <i>Physical Review A</i>. American Physical
    Society. <a href="https://doi.org/10.1103/PhysRevA.95.033608">https://doi.org/10.1103/PhysRevA.95.033608</a>
  chicago: Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization
    of Impurities Rotating in a Bosonic Bath.” <i>Physical Review A</i>. American
    Physical Society, 2017. <a href="https://doi.org/10.1103/PhysRevA.95.033608">https://doi.org/10.1103/PhysRevA.95.033608</a>.
  ieee: X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities
    rotating in a bosonic bath,” <i>Physical Review A</i>, vol. 95, no. 3. American
    Physical Society, 2017.
  ista: Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities
    rotating in a bosonic bath. Physical Review A. 95(3), 033608.
  mla: Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic
    Bath.” <i>Physical Review A</i>, vol. 95, no. 3, 033608, American Physical Society,
    2017, doi:<a href="https://doi.org/10.1103/PhysRevA.95.033608">10.1103/PhysRevA.95.033608</a>.
  short: X. Li, R. Seiringer, M. Lemeshko, Physical Review A 95 (2017).
date_created: 2018-12-11T11:50:15Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-09-20T11:30:58Z
day: '06'
department:
- _id: MiLe
- _id: RoSe
doi: 10.1103/PhysRevA.95.033608
ec_funded: 1
external_id:
  isi:
  - '000395981900009'
intvolume: '        95'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1610.04908
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P27533_N27
  name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
publication: Physical Review A
publication_identifier:
  issn:
  - '24699926'
publication_status: published
publisher: American Physical Society
publist_id: '6242'
quality_controlled: '1'
related_material:
  record:
  - id: '8958'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Angular self-localization of impurities rotating in a bosonic bath
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 95
year: '2017'
...
---
_id: '3555'
abstract:
- lang: eng
  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.
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Xiang
  full_name: Li, Xiang
  id: 4B7E523C-F248-11E8-B48F-1D18A9856A87
  last_name: Li
- first_name: Gary
  full_name: Miller, Gary
  last_name: Miller
- first_name: Andreas
  full_name: Stathopoulos, Andreas
  last_name: Stathopoulos
- first_name: Dafna
  full_name: Talmor, Dafna
  last_name: Talmor
- first_name: Shang
  full_name: Teng, Shang
  last_name: Teng
- first_name: Alper
  full_name: Üngör, Alper
  last_name: Üngör
- first_name: Noel
  full_name: Walkington, Noel
  last_name: Walkington
citation:
  ama: 'Edelsbrunner H, Li X, Miller G, et al. Smoothing and cleaning up slivers.
    In: <i>Proceedings of the 32nd Annual ACM Symposium on Theory of Computing</i>.
    ACM; 2000:273-277. doi:<a href="https://doi.org/10.1145/335305.335338">10.1145/335305.335338</a>'
  apa: 'Edelsbrunner, H., Li, X., Miller, G., Stathopoulos, A., Talmor, D., Teng,
    S., … Walkington, N. (2000). Smoothing and cleaning up slivers. In <i>Proceedings
    of the 32nd annual ACM symposium on Theory of computing</i> (pp. 273–277). Portland,
    OR, USA: ACM. <a href="https://doi.org/10.1145/335305.335338">https://doi.org/10.1145/335305.335338</a>'
  chicago: Edelsbrunner, Herbert, Xiang Li, Gary Miller, Andreas Stathopoulos, Dafna
    Talmor, Shang Teng, Alper Üngör, and Noel Walkington. “Smoothing and Cleaning
    up Slivers.” In <i>Proceedings of the 32nd Annual ACM Symposium on Theory of Computing</i>,
    273–77. ACM, 2000. <a href="https://doi.org/10.1145/335305.335338">https://doi.org/10.1145/335305.335338</a>.
  ieee: H. Edelsbrunner <i>et al.</i>, “Smoothing and cleaning up slivers,” in <i>Proceedings
    of the 32nd annual ACM symposium on Theory of computing</i>, 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.'
  mla: Edelsbrunner, Herbert, et al. “Smoothing and Cleaning up Slivers.” <i>Proceedings
    of the 32nd Annual ACM Symposium on Theory of Computing</i>, ACM, 2000, pp. 273–77,
    doi:<a href="https://doi.org/10.1145/335305.335338">10.1145/335305.335338</a>.
  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.
conference:
  end_date: 2000-05-23
  location: Portland, OR, USA
  name: 'STOC: Symposium on the Theory of Computing'
  start_date: 2000-05-21
date_created: 2018-12-11T12:03:56Z
date_published: 2000-06-01T00:00:00Z
date_updated: 2023-05-02T14:07:00Z
day: '01'
doi: 10.1145/335305.335338
extern: '1'
language:
- iso: eng
month: '06'
oa_version: None
page: 273 - 277
publication: Proceedings of the 32nd annual ACM symposium on Theory of computing
publication_identifier:
  isbn:
  - '9781581131840'
publication_status: published
publisher: ACM
publist_id: '2830'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Smoothing and cleaning up slivers
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
year: '2000'
...
