--- _id: '10328' abstract: - lang: eng text: We discus noise channels in coherent electro-optic up-conversion between microwave and optical fields, in particular due to optical heating. We also report on a novel configuration, which promises to be flexible and highly efficient. alternative_title: - OSA Technical Digest article_number: QTu8A.1 article_processing_charge: No author: - first_name: Nicholas J. full_name: Lambert, Nicholas J. last_name: Lambert - first_name: Sonia full_name: Mobassem, Sonia last_name: Mobassem - first_name: Alfredo R full_name: Rueda Sanchez, Alfredo R id: 3B82B0F8-F248-11E8-B48F-1D18A9856A87 last_name: Rueda Sanchez orcid: 0000-0001-6249-5860 - first_name: Harald G.L. full_name: Schwefel, Harald G.L. last_name: Schwefel citation: ama: 'Lambert NJ, Mobassem S, Rueda Sanchez AR, Schwefel HGL. New designs and noise channels in electro-optic microwave to optical up-conversion. In: OSA Quantum 2.0 Conference. Optica Publishing Group; 2020. doi:10.1364/QUANTUM.2020.QTu8A.1' apa: 'Lambert, N. J., Mobassem, S., Rueda Sanchez, A. R., & Schwefel, H. G. L. (2020). New designs and noise channels in electro-optic microwave to optical up-conversion. In OSA Quantum 2.0 Conference. Washington, DC, United States: Optica Publishing Group. https://doi.org/10.1364/QUANTUM.2020.QTu8A.1' chicago: Lambert, Nicholas J., Sonia Mobassem, Alfredo R Rueda Sanchez, and Harald G.L. Schwefel. “New Designs and Noise Channels in Electro-Optic Microwave to Optical up-Conversion.” In OSA Quantum 2.0 Conference. Optica Publishing Group, 2020. https://doi.org/10.1364/QUANTUM.2020.QTu8A.1. ieee: N. J. Lambert, S. Mobassem, A. R. Rueda Sanchez, and H. G. L. Schwefel, “New designs and noise channels in electro-optic microwave to optical up-conversion,” in OSA Quantum 2.0 Conference, Washington, DC, United States, 2020. ista: 'Lambert NJ, Mobassem S, Rueda Sanchez AR, Schwefel HGL. 2020. New designs and noise channels in electro-optic microwave to optical up-conversion. OSA Quantum 2.0 Conference. OSA: Optical Society of America, OSA Technical Digest, , QTu8A.1.' mla: Lambert, Nicholas J., et al. “New Designs and Noise Channels in Electro-Optic Microwave to Optical up-Conversion.” OSA Quantum 2.0 Conference, QTu8A.1, Optica Publishing Group, 2020, doi:10.1364/QUANTUM.2020.QTu8A.1. short: N.J. Lambert, S. Mobassem, A.R. Rueda Sanchez, H.G.L. Schwefel, in:, OSA Quantum 2.0 Conference, Optica Publishing Group, 2020. conference: end_date: 2020-09-17 location: Washington, DC, United States name: 'OSA: Optical Society of America' start_date: 2020-09-14 date_created: 2021-11-21T23:01:31Z date_published: 2020-01-01T00:00:00Z date_updated: 2023-10-18T08:32:34Z day: '01' department: - _id: JoFi doi: 10.1364/QUANTUM.2020.QTu8A.1 language: - iso: eng month: '01' oa_version: None publication: OSA Quantum 2.0 Conference publication_identifier: isbn: - 9-781-5575-2820-9 publication_status: published publisher: Optica Publishing Group quality_controlled: '1' scopus_import: '1' status: public title: New designs and noise channels in electro-optic microwave to optical up-conversion type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '9633' abstract: - lang: eng text: The search for biologically faithful synaptic plasticity rules has resulted in a large body of models. They are usually inspired by – and fitted to – experimental data, but they rarely produce neural dynamics that serve complex functions. These failures suggest that current plasticity models are still under-constrained by existing data. Here, we present an alternative approach that uses meta-learning to discover plausible synaptic plasticity rules. Instead of experimental data, the rules are constrained by the functions they implement and the structure they are meant to produce. Briefly, we parameterize synaptic plasticity rules by a Volterra expansion and then use supervised learning methods (gradient descent or evolutionary strategies) to minimize a problem-dependent loss function that quantifies how effectively a candidate plasticity rule transforms an initially random network into one with the desired function. We first validate our approach by re-discovering previously described plasticity rules, starting at the single-neuron level and “Oja’s rule”, a simple Hebbian plasticity rule that captures the direction of most variability of inputs to a neuron (i.e., the first principal component). We expand the problem to the network level and ask the framework to find Oja’s rule together with an anti-Hebbian rule such that an initially random two-layer firing-rate network will recover several principal components of the input space after learning. Next, we move to networks of integrate-and-fire neurons with plastic inhibitory afferents. We train for rules that achieve a target firing rate by countering tuned excitation. Our algorithm discovers a specific subset of the manifold of rules that can solve this task. Our work is a proof of principle of an automated and unbiased approach to unveil synaptic plasticity rules that obey biological constraints and can solve complex functions. acknowledgement: We would like to thank Chaitanya Chintaluri, Georgia Christodoulou, Bill Podlaski and Merima Šabanovic for useful discussions and comments. This work was supported by a Wellcome Trust ´ Senior Research Fellowship (214316/Z/18/Z), a BBSRC grant (BB/N019512/1), an ERC consolidator Grant (SYNAPSEEK), a Leverhulme Trust Project Grant (RPG-2016-446), and funding from École Polytechnique, Paris. article_processing_charge: No author: - first_name: Basile J full_name: Confavreux, Basile J id: C7610134-B532-11EA-BD9F-F5753DDC885E last_name: Confavreux - first_name: Friedemann full_name: Zenke, Friedemann last_name: Zenke - first_name: Everton J. full_name: Agnes, Everton J. last_name: Agnes - first_name: Timothy full_name: Lillicrap, Timothy last_name: Lillicrap - first_name: Tim P full_name: Vogels, Tim P id: CB6FF8D2-008F-11EA-8E08-2637E6697425 last_name: Vogels orcid: 0000-0003-3295-6181 citation: ama: 'Confavreux BJ, Zenke F, Agnes EJ, Lillicrap T, Vogels TP. A meta-learning approach to (re)discover plasticity rules that carve a desired function into a neural network. In: Advances in Neural Information Processing Systems. Vol 33. ; 2020:16398-16408.' apa: Confavreux, B. J., Zenke, F., Agnes, E. J., Lillicrap, T., & Vogels, T. P. (2020). A meta-learning approach to (re)discover plasticity rules that carve a desired function into a neural network. In Advances in Neural Information Processing Systems (Vol. 33, pp. 16398–16408). Vancouver, Canada. chicago: Confavreux, Basile J, Friedemann Zenke, Everton J. Agnes, Timothy Lillicrap, and Tim P Vogels. “A Meta-Learning Approach to (Re)Discover Plasticity Rules That Carve a Desired Function into a Neural Network.” In Advances in Neural Information Processing Systems, 33:16398–408, 2020. ieee: B. J. Confavreux, F. Zenke, E. J. Agnes, T. Lillicrap, and T. P. Vogels, “A meta-learning approach to (re)discover plasticity rules that carve a desired function into a neural network,” in Advances in Neural Information Processing Systems, Vancouver, Canada, 2020, vol. 33, pp. 16398–16408. ista: 'Confavreux BJ, Zenke F, Agnes EJ, Lillicrap T, Vogels TP. 2020. A meta-learning approach to (re)discover plasticity rules that carve a desired function into a neural network. Advances in Neural Information Processing Systems. NeurIPS: Conference on Neural Information Processing Systems vol. 33, 16398–16408.' mla: Confavreux, Basile J., et al. “A Meta-Learning Approach to (Re)Discover Plasticity Rules That Carve a Desired Function into a Neural Network.” Advances in Neural Information Processing Systems, vol. 33, 2020, pp. 16398–408. short: B.J. Confavreux, F. Zenke, E.J. Agnes, T. Lillicrap, T.P. Vogels, in:, Advances in Neural Information Processing Systems, 2020, pp. 16398–16408. conference: end_date: 2020-12-12 location: Vancouver, Canada name: 'NeurIPS: Conference on Neural Information Processing Systems' start_date: 2020-12-06 date_created: 2021-07-04T22:01:27Z date_published: 2020-12-06T00:00:00Z date_updated: 2023-10-18T09:20:55Z day: '06' department: - _id: TiVo ec_funded: 1 intvolume: ' 33' language: - iso: eng main_file_link: - open_access: '1' url: https://proceedings.neurips.cc/paper/2020/hash/bdbd5ebfde4934142c8a88e7a3796cd5-Abstract.html month: '12' oa: 1 oa_version: Published Version page: 16398-16408 project: - _id: c084a126-5a5b-11eb-8a69-d75314a70a87 grant_number: 214316/Z/18/Z name: What’s in a memory? Spatiotemporal dynamics in strongly coupled recurrent neuronal networks. - _id: 0aacfa84-070f-11eb-9043-d7eb2c709234 call_identifier: H2020 grant_number: '819603' name: Learning the shape of synaptic plasticity rules for neuronal architectures and function through machine learning. publication: Advances in Neural Information Processing Systems publication_identifier: issn: - 1049-5258 publication_status: published quality_controlled: '1' related_material: link: - relation: is_continued_by url: https://doi.org/10.1101/2020.10.24.353409 record: - id: '14422' relation: dissertation_contains status: public scopus_import: '1' status: public title: A meta-learning approach to (re)discover plasticity rules that carve a desired function into a neural network type: conference user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf volume: 33 year: '2020' ... --- _id: '8943' abstract: - lang: eng text: The widely used non-steroidal anti-inflammatory drugs (NSAIDs) are derivatives of the phytohormone salicylic acid (SA). SA is well known to regulate plant immunity and development, whereas there have been few reports focusing on the effects of NSAIDs in plants. Our studies here reveal that NSAIDs exhibit largely overlapping physiological activities to SA in the model plant Arabidopsis. NSAID treatments lead to shorter and agravitropic primary roots and inhibited lateral root organogenesis. Notably, in addition to the SA-like action, which in roots involves binding to the protein phosphatase 2A (PP2A), NSAIDs also exhibit PP2A-independent effects. Cell biological and biochemical analyses reveal that many NSAIDs bind directly to and inhibit the chaperone activity of TWISTED DWARF1, thereby regulating actin cytoskeleton dynamics and subsequent endosomal trafficking. Our findings uncover an unexpected bioactivity of human pharmaceuticals in plants and provide insights into the molecular mechanism underlying the cellular action of this class of anti-inflammatory compounds. acknowledged_ssus: - _id: LifeSc - _id: Bio acknowledgement: "We thank Drs. Sebastian Bednarek (University of Wisconsin-Madison), Niko Geldner (University of Lausanne), and Karin Schumacher (Heidelberg University) for kindly sharing published Arabidopsis lines; Dr. Satoshi Naramoto for the pPIN2::PIN2-GFP; pVHA-a1::VHA-a1-mRFP reporter; the staff at the Life Science Facility and Bioimaging Facility, Monika Hrtyan, and Dorota Jaworska at IST Austria for technical support; and Drs. Su Tang (Texas A&M University),\r\nMelinda Abas (BOKU), Eva Benkova´ (IST Austria), Christian Luschnig (BOKU), Bartel Vanholme (Gent University), and the Friml group for valuable discussions. The research leading to these findings was funded by the European Union’s Horizon 2020 program (ERC grant agreement no. 742985, to J.F.), the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no.\r\n291734, the Swiss National Funds (31003A_165877, to M.G.), the Ministry of Education, Youth, and Sports of the Czech Republic (project no. CZ.02.1.01/0.0/0.0/16_019/0000738, EU Operational Programme ‘‘Research, development and education and Centre for Plant Experimental Biology’’), and the EU Operational Programme Prague - Competitiveness (project no. CZ.2.16/3.1.00/21519). S.T. was funded by a European Molecular Biology Organization (EMBO) long-term postdoctoral fellowship (ALTF 723-2015). X.Z. was partly supported by a PhD scholarship from the China Scholarship Council." article_number: '108463' article_processing_charge: Yes article_type: original author: - first_name: Shutang full_name: Tan, Shutang id: 2DE75584-F248-11E8-B48F-1D18A9856A87 last_name: Tan orcid: 0000-0002-0471-8285 - first_name: Martin full_name: Di Donato, Martin last_name: Di Donato - first_name: Matous full_name: Glanc, Matous id: 1AE1EA24-02D0-11E9-9BAA-DAF4881429F2 last_name: Glanc orcid: 0000-0003-0619-7783 - first_name: Xixi full_name: Zhang, Xixi id: 61A66458-47E9-11EA-85BA-8AEAAF14E49A last_name: Zhang orcid: 0000-0001-7048-4627 - first_name: Petr full_name: Klíma, Petr last_name: Klíma - first_name: Jie full_name: Liu, Jie last_name: Liu - first_name: Aurélien full_name: Bailly, Aurélien last_name: Bailly - first_name: Noel full_name: Ferro, Noel last_name: Ferro - first_name: Jan full_name: Petrášek, Jan last_name: Petrášek - first_name: Markus full_name: Geisler, Markus last_name: Geisler - first_name: Jiří full_name: Friml, Jiří id: 4159519E-F248-11E8-B48F-1D18A9856A87 last_name: Friml orcid: 0000-0002-8302-7596 citation: ama: Tan S, Di Donato M, Glanc M, et al. Non-steroidal anti-inflammatory drugs target TWISTED DWARF1-regulated actin dynamics and auxin transport-mediated plant development. Cell Reports. 2020;33(9). doi:10.1016/j.celrep.2020.108463 apa: Tan, S., Di Donato, M., Glanc, M., Zhang, X., Klíma, P., Liu, J., … Friml, J. (2020). Non-steroidal anti-inflammatory drugs target TWISTED DWARF1-regulated actin dynamics and auxin transport-mediated plant development. Cell Reports. Elsevier. https://doi.org/10.1016/j.celrep.2020.108463 chicago: Tan, Shutang, Martin Di Donato, Matous Glanc, Xixi Zhang, Petr Klíma, Jie Liu, Aurélien Bailly, et al. “Non-Steroidal Anti-Inflammatory Drugs Target TWISTED DWARF1-Regulated Actin Dynamics and Auxin Transport-Mediated Plant Development.” Cell Reports. Elsevier, 2020. https://doi.org/10.1016/j.celrep.2020.108463. ieee: S. Tan et al., “Non-steroidal anti-inflammatory drugs target TWISTED DWARF1-regulated actin dynamics and auxin transport-mediated plant development,” Cell Reports, vol. 33, no. 9. Elsevier, 2020. ista: Tan S, Di Donato M, Glanc M, Zhang X, Klíma P, Liu J, Bailly A, Ferro N, Petrášek J, Geisler M, Friml J. 2020. Non-steroidal anti-inflammatory drugs target TWISTED DWARF1-regulated actin dynamics and auxin transport-mediated plant development. Cell Reports. 33(9), 108463. mla: Tan, Shutang, et al. “Non-Steroidal Anti-Inflammatory Drugs Target TWISTED DWARF1-Regulated Actin Dynamics and Auxin Transport-Mediated Plant Development.” Cell Reports, vol. 33, no. 9, 108463, Elsevier, 2020, doi:10.1016/j.celrep.2020.108463. short: S. Tan, M. Di Donato, M. Glanc, X. Zhang, P. Klíma, J. Liu, A. Bailly, N. Ferro, J. Petrášek, M. Geisler, J. Friml, Cell Reports 33 (2020). date_created: 2020-12-13T23:01:21Z date_published: 2020-12-01T00:00:00Z date_updated: 2023-11-16T13:03:31Z day: '01' ddc: - '580' department: - _id: JiFr doi: 10.1016/j.celrep.2020.108463 ec_funded: 1 external_id: isi: - '000595658100018' pmid: - '33264621' file: - access_level: open_access checksum: ed18cba0fb48ed2e789381a54cc21904 content_type: application/pdf creator: dernst date_created: 2020-12-14T07:33:39Z date_updated: 2020-12-14T07:33:39Z file_id: '8948' file_name: 2020_CellReports_Tan.pdf file_size: 8056434 relation: main_file success: 1 file_date_updated: 2020-12-14T07:33:39Z has_accepted_license: '1' intvolume: ' 33' isi: 1 issue: '9' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '12' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 261099A6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '742985' name: Tracing Evolution of Auxin Transport and Polarity in Plants - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 256FEF10-B435-11E9-9278-68D0E5697425 grant_number: 723-2015 name: Long Term Fellowship publication: Cell Reports publication_identifier: eissn: - '22111247' publication_status: published publisher: Elsevier quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/plants-on-aspirin/ scopus_import: '1' status: public title: Non-steroidal anti-inflammatory drugs target TWISTED DWARF1-regulated actin dynamics and auxin transport-mediated plant development 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 33 year: '2020' ... --- _id: '7932' abstract: - lang: eng text: Pulsating flows through tubular geometries are laminar provided that velocities are moderate. This in particular is also believed to apply to cardiovascular flows where inertial forces are typically too low to sustain turbulence. On the other hand, flow instabilities and fluctuating shear stresses are held responsible for a variety of cardiovascular diseases. Here we report a nonlinear instability mechanism for pulsating pipe flow that gives rise to bursts of turbulence at low flow rates. Geometrical distortions of small, yet finite, amplitude are found to excite a state consisting of helical vortices during flow deceleration. The resulting flow pattern grows rapidly in magnitude, breaks down into turbulence, and eventually returns to laminar when the flow accelerates. This scenario causes shear stress fluctuations and flow reversal during each pulsation cycle. Such unsteady conditions can adversely affect blood vessels and have been shown to promote inflammation and dysfunction of the shear stress-sensitive endothelial cell layer. article_processing_charge: No article_type: original author: - first_name: Duo full_name: Xu, Duo id: 3454D55E-F248-11E8-B48F-1D18A9856A87 last_name: Xu - first_name: Atul full_name: Varshney, Atul id: 2A2006B2-F248-11E8-B48F-1D18A9856A87 last_name: Varshney orcid: 0000-0002-3072-5999 - first_name: Xingyu full_name: Ma, Xingyu id: 34BADBA6-F248-11E8-B48F-1D18A9856A87 last_name: Ma orcid: 0000-0002-0179-9737 - first_name: Baofang full_name: Song, Baofang last_name: Song - first_name: Michael full_name: Riedl, Michael id: 3BE60946-F248-11E8-B48F-1D18A9856A87 last_name: Riedl orcid: 0000-0003-4844-6311 - first_name: Marc full_name: Avila, Marc last_name: Avila - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: Xu D, Varshney A, Ma X, et al. Nonlinear hydrodynamic instability and turbulence in pulsatile flow. Proceedings of the National Academy of Sciences of the United States of America. 2020;117(21):11233-11239. doi:10.1073/pnas.1913716117 apa: Xu, D., Varshney, A., Ma, X., Song, B., Riedl, M., Avila, M., & Hof, B. (2020). Nonlinear hydrodynamic instability and turbulence in pulsatile flow. Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences. https://doi.org/10.1073/pnas.1913716117 chicago: Xu, Duo, Atul Varshney, Xingyu Ma, Baofang Song, Michael Riedl, Marc Avila, and Björn Hof. “Nonlinear Hydrodynamic Instability and Turbulence in Pulsatile Flow.” Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences, 2020. https://doi.org/10.1073/pnas.1913716117. ieee: D. Xu et al., “Nonlinear hydrodynamic instability and turbulence in pulsatile flow,” Proceedings of the National Academy of Sciences of the United States of America, vol. 117, no. 21. National Academy of Sciences, pp. 11233–11239, 2020. ista: Xu D, Varshney A, Ma X, Song B, Riedl M, Avila M, Hof B. 2020. Nonlinear hydrodynamic instability and turbulence in pulsatile flow. Proceedings of the National Academy of Sciences of the United States of America. 117(21), 11233–11239. mla: Xu, Duo, et al. “Nonlinear Hydrodynamic Instability and Turbulence in Pulsatile Flow.” Proceedings of the National Academy of Sciences of the United States of America, vol. 117, no. 21, National Academy of Sciences, 2020, pp. 11233–39, doi:10.1073/pnas.1913716117. short: D. Xu, A. Varshney, X. Ma, B. Song, M. Riedl, M. Avila, B. Hof, Proceedings of the National Academy of Sciences of the United States of America 117 (2020) 11233–11239. date_created: 2020-06-07T22:00:51Z date_published: 2020-05-26T00:00:00Z date_updated: 2023-11-30T10:55:13Z day: '26' department: - _id: BjHo doi: 10.1073/pnas.1913716117 ec_funded: 1 external_id: arxiv: - '2005.11190' isi: - '000536797100014' intvolume: ' 117' isi: 1 issue: '21' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2005.11190 month: '05' oa: 1 oa_version: Preprint page: 11233-11239 project: - _id: 238B8092-32DE-11EA-91FC-C7463DDC885E call_identifier: FWF grant_number: I04188 name: Instabilities in pulsating pipe flow of Newtonian and complex fluids - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Proceedings of the National Academy of Sciences of the United States of America publication_identifier: eissn: - '10916490' issn: - '00278424' publication_status: published publisher: National Academy of Sciences quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/blood-flows-more-turbulent-than-previously-expected/ record: - id: '12726' relation: dissertation_contains status: public - id: '14530' relation: dissertation_contains status: public scopus_import: '1' status: public title: Nonlinear hydrodynamic instability and turbulence in pulsatile flow type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 117 year: '2020' ... --- _id: '14694' abstract: - lang: eng text: We study the unique solution m of the Dyson equation \( -m(z)^{-1} = z\1 - a + S[m(z)] \) on a von Neumann algebra A with the constraint Imm≥0. Here, z lies in the complex upper half-plane, a is a self-adjoint element of A and S is a positivity-preserving linear operator on A. We show that m is the Stieltjes transform of a compactly supported A-valued measure on R. Under suitable assumptions, we establish that this measure has a uniformly 1/3-Hölder continuous density with respect to the Lebesgue measure, which is supported on finitely many intervals, called bands. In fact, the density is analytic inside the bands with a square-root growth at the edges and internal cubic root cusps whenever the gap between two bands vanishes. The shape of these singularities is universal and no other singularity may occur. We give a precise asymptotic description of m near the singular points. These asymptotics generalize the analysis at the regular edges given in the companion paper on the Tracy-Widom universality for the edge eigenvalue statistics for correlated random matrices [the first author et al., Ann. Probab. 48, No. 2, 963--1001 (2020; Zbl 1434.60017)] and they play a key role in the proof of the Pearcey universality at the cusp for Wigner-type matrices [G. Cipolloni et al., Pure Appl. Anal. 1, No. 4, 615--707 (2019; Zbl 07142203); the second author et al., Commun. Math. Phys. 378, No. 2, 1203--1278 (2020; Zbl 07236118)]. We also extend the finite dimensional band mass formula from [the first author et al., loc. cit.] to the von Neumann algebra setting by showing that the spectral mass of the bands is topologically rigid under deformations and we conclude that these masses are quantized in some important cases. article_processing_charge: Yes article_type: original author: - first_name: Johannes full_name: Alt, Johannes id: 36D3D8B6-F248-11E8-B48F-1D18A9856A87 last_name: Alt - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Torben H full_name: Krüger, Torben H id: 3020C786-F248-11E8-B48F-1D18A9856A87 last_name: Krüger orcid: 0000-0002-4821-3297 citation: ama: 'Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. 2020;25:1421-1539. doi:10.4171/dm/780' apa: 'Alt, J., Erdös, L., & Krüger, T. H. (2020). The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. EMS Press. https://doi.org/10.4171/dm/780' chicago: 'Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps.” Documenta Mathematica. EMS Press, 2020. https://doi.org/10.4171/dm/780.' ieee: 'J. Alt, L. Erdös, and T. H. Krüger, “The Dyson equation with linear self-energy: Spectral bands, edges and cusps,” Documenta Mathematica, vol. 25. EMS Press, pp. 1421–1539, 2020.' ista: 'Alt J, Erdös L, Krüger TH. 2020. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. 25, 1421–1539.' mla: 'Alt, Johannes, et al. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps.” Documenta Mathematica, vol. 25, EMS Press, 2020, pp. 1421–539, doi:10.4171/dm/780.' short: J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539. date_created: 2023-12-18T10:37:43Z date_published: 2020-09-01T00:00:00Z date_updated: 2023-12-18T10:46:09Z day: '01' ddc: - '510' department: - _id: LaEr doi: 10.4171/dm/780 external_id: arxiv: - '1804.07752' file: - access_level: open_access checksum: 12aacc1d63b852ff9a51c1f6b218d4a6 content_type: application/pdf creator: dernst date_created: 2023-12-18T10:42:32Z date_updated: 2023-12-18T10:42:32Z file_id: '14695' file_name: 2020_DocumentaMathematica_Alt.pdf file_size: 1374708 relation: main_file success: 1 file_date_updated: 2023-12-18T10:42:32Z has_accepted_license: '1' intvolume: ' 25' keyword: - General Mathematics language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 1421-1539 publication: Documenta Mathematica publication_identifier: eissn: - 1431-0643 issn: - 1431-0635 publication_status: published publisher: EMS Press quality_controlled: '1' related_material: record: - id: '6183' relation: earlier_version status: public status: public title: 'The Dyson equation with linear self-energy: Spectral bands, edges and cusps' 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: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 25 year: '2020' ...