--- _id: '721' abstract: - lang: eng text: 'Let S be a positivity-preserving symmetric linear operator acting on bounded functions. The nonlinear equation -1/m=z+Sm with a parameter z in the complex upper half-plane ℍ has a unique solution m with values in ℍ. We show that the z-dependence of this solution can be represented as the Stieltjes transforms of a family of probability measures v on ℝ. Under suitable conditions on S, we show that v has a real analytic density apart from finitely many algebraic singularities of degree at most 3. Our motivation comes from large random matrices. The solution m determines the density of eigenvalues of two prominent matrix ensembles: (i) matrices with centered independent entries whose variances are given by S and (ii) matrices with correlated entries with a translation-invariant correlation structure. Our analysis shows that the limiting eigenvalue density has only square root singularities or cubic root cusps; no other singularities occur.' author: - first_name: Oskari H full_name: Ajanki, Oskari H id: 36F2FB7E-F248-11E8-B48F-1D18A9856A87 last_name: Ajanki - first_name: Torben H full_name: Krüger, Torben H id: 3020C786-F248-11E8-B48F-1D18A9856A87 last_name: Krüger orcid: 0000-0002-4821-3297 - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 citation: ama: Ajanki OH, Krüger TH, Erdös L. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 2017;70(9):1672-1705. doi:10.1002/cpa.21639 apa: Ajanki, O. H., Krüger, T. H., & Erdös, L. (2017). Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. Wiley-Blackwell. https://doi.org/10.1002/cpa.21639 chicago: Ajanki, Oskari H, Torben H Krüger, and László Erdös. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2017. https://doi.org/10.1002/cpa.21639. ieee: O. H. Ajanki, T. H. Krüger, and L. Erdös, “Singularities of solutions to quadratic vector equations on the complex upper half plane,” Communications on Pure and Applied Mathematics, vol. 70, no. 9. Wiley-Blackwell, pp. 1672–1705, 2017. ista: Ajanki OH, Krüger TH, Erdös L. 2017. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 70(9), 1672–1705. mla: Ajanki, Oskari H., et al. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.” Communications on Pure and Applied Mathematics, vol. 70, no. 9, Wiley-Blackwell, 2017, pp. 1672–705, doi:10.1002/cpa.21639. short: O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705. date_created: 2018-12-11T11:48:08Z date_published: 2017-09-01T00:00:00Z date_updated: 2021-01-12T08:12:24Z day: '01' department: - _id: LaEr doi: 10.1002/cpa.21639 ec_funded: 1 intvolume: ' 70' issue: '9' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1512.03703 month: '09' oa: 1 oa_version: Submitted Version page: 1672 - 1705 project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems publication: Communications on Pure and Applied Mathematics publication_identifier: issn: - '00103640' publication_status: published publisher: Wiley-Blackwell publist_id: '6959' quality_controlled: '1' scopus_import: 1 status: public title: Singularities of solutions to quadratic vector equations on the complex upper half plane type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 70 year: '2017' ... --- _id: '722' abstract: - lang: eng text: Plants are sessile organisms rooted in one place. The soil resources that plants require are often distributed in a highly heterogeneous pattern. To aid foraging, plants have evolved roots whose growth and development are highly responsive to soil signals. As a result, 3D root architecture is shaped by myriad environmental signals to ensure resource capture is optimised and unfavourable environments are avoided. The first signals sensed by newly germinating seeds — gravity and light — direct root growth into the soil to aid seedling establishment. Heterogeneous soil resources, such as water, nitrogen and phosphate, also act as signals that shape 3D root growth to optimise uptake. Root architecture is also modified through biotic interactions that include soil fungi and neighbouring plants. This developmental plasticity results in a ‘custom-made’ 3D root system that is best adapted to forage for resources in each soil environment that a plant colonises. author: - first_name: Emily full_name: Morris, Emily last_name: Morris - first_name: Marcus full_name: Griffiths, Marcus last_name: Griffiths - first_name: Agata full_name: Golebiowska, Agata last_name: Golebiowska - first_name: Stefan full_name: Mairhofer, Stefan last_name: Mairhofer - first_name: Jasmine full_name: Burr Hersey, Jasmine last_name: Burr Hersey - first_name: Tatsuaki full_name: Goh, Tatsuaki last_name: Goh - first_name: Daniel full_name: Von Wangenheim, Daniel id: 49E91952-F248-11E8-B48F-1D18A9856A87 last_name: Von Wangenheim orcid: 0000-0002-6862-1247 - first_name: Brian full_name: Atkinson, Brian last_name: Atkinson - first_name: Craig full_name: Sturrock, Craig last_name: Sturrock - first_name: Jonathan full_name: Lynch, Jonathan last_name: Lynch - first_name: Kris full_name: Vissenberg, Kris last_name: Vissenberg - first_name: Karl full_name: Ritz, Karl last_name: Ritz - first_name: Darren full_name: Wells, Darren last_name: Wells - first_name: Sacha full_name: Mooney, Sacha last_name: Mooney - first_name: Malcolm full_name: Bennett, Malcolm last_name: Bennett citation: ama: Morris E, Griffiths M, Golebiowska A, et al. Shaping 3D root system architecture. Current Biology. 2017;27(17):R919-R930. doi:10.1016/j.cub.2017.06.043 apa: Morris, E., Griffiths, M., Golebiowska, A., Mairhofer, S., Burr Hersey, J., Goh, T., … Bennett, M. (2017). Shaping 3D root system architecture. Current Biology. Cell Press. https://doi.org/10.1016/j.cub.2017.06.043 chicago: Morris, Emily, Marcus Griffiths, Agata Golebiowska, Stefan Mairhofer, Jasmine Burr Hersey, Tatsuaki Goh, Daniel von Wangenheim, et al. “Shaping 3D Root System Architecture.” Current Biology. Cell Press, 2017. https://doi.org/10.1016/j.cub.2017.06.043. ieee: E. Morris et al., “Shaping 3D root system architecture,” Current Biology, vol. 27, no. 17. Cell Press, pp. R919–R930, 2017. ista: Morris E, Griffiths M, Golebiowska A, Mairhofer S, Burr Hersey J, Goh T, von Wangenheim D, Atkinson B, Sturrock C, Lynch J, Vissenberg K, Ritz K, Wells D, Mooney S, Bennett M. 2017. Shaping 3D root system architecture. Current Biology. 27(17), R919–R930. mla: Morris, Emily, et al. “Shaping 3D Root System Architecture.” Current Biology, vol. 27, no. 17, Cell Press, 2017, pp. R919–30, doi:10.1016/j.cub.2017.06.043. short: E. Morris, M. Griffiths, A. Golebiowska, S. Mairhofer, J. Burr Hersey, T. Goh, D. von Wangenheim, B. Atkinson, C. Sturrock, J. Lynch, K. Vissenberg, K. Ritz, D. Wells, S. Mooney, M. Bennett, Current Biology 27 (2017) R919–R930. date_created: 2018-12-11T11:48:08Z date_published: 2017-09-11T00:00:00Z date_updated: 2021-01-12T08:12:29Z day: '11' ddc: - '581' department: - _id: JiFr doi: 10.1016/j.cub.2017.06.043 ec_funded: 1 external_id: pmid: - '28898665' file: - access_level: open_access checksum: e45588b21097b408da6276a3e5eedb2e content_type: application/pdf creator: dernst date_created: 2019-04-17T07:46:40Z date_updated: 2020-07-14T12:47:54Z file_id: '6332' file_name: 2017_CurrentBiology_Morris.pdf file_size: 1576593 relation: main_file file_date_updated: 2020-07-14T12:47:54Z has_accepted_license: '1' intvolume: ' 27' issue: '17' language: - iso: eng month: '09' oa: 1 oa_version: Submitted Version page: R919 - R930 pmid: 1 project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Current Biology publication_identifier: issn: - '09609822' publication_status: published publisher: Cell Press publist_id: '6956' pubrep_id: '982' quality_controlled: '1' scopus_import: 1 status: public title: Shaping 3D root system architecture tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 27 year: '2017' ... --- _id: '725' abstract: - lang: eng text: Individual computations and social interactions underlying collective behavior in groups of animals are of great ethological, behavioral, and theoretical interest. While complex individual behaviors have successfully been parsed into small dictionaries of stereotyped behavioral modes, studies of collective behavior largely ignored these findings; instead, their focus was on inferring single, mode-independent social interaction rules that reproduced macroscopic and often qualitative features of group behavior. Here, we bring these two approaches together to predict individual swimming patterns of adult zebrafish in a group. We show that fish alternate between an “active” mode, in which they are sensitive to the swimming patterns of conspecifics, and a “passive” mode, where they ignore them. Using a model that accounts for these two modes explicitly, we predict behaviors of individual fish with high accuracy, outperforming previous approaches that assumed a single continuous computation by individuals and simple metric or topological weighing of neighbors’ behavior. At the group level, switching between active and passive modes is uncorrelated among fish, but correlated directional swimming behavior still emerges. Our quantitative approach for studying complex, multi-modal individual behavior jointly with emergent group behavior is readily extensible to additional behavioral modes and their neural correlates as well as to other species. author: - first_name: Roy full_name: Harpaz, Roy last_name: Harpaz - first_name: Gasper full_name: Tkacik, Gasper id: 3D494DCA-F248-11E8-B48F-1D18A9856A87 last_name: Tkacik orcid: 0000-0002-6699-1455 - first_name: Elad full_name: Schneidman, Elad last_name: Schneidman citation: ama: Harpaz R, Tkačik G, Schneidman E. Discrete modes of social information processing predict individual behavior of fish in a group. PNAS. 2017;114(38):10149-10154. doi:10.1073/pnas.1703817114 apa: Harpaz, R., Tkačik, G., & Schneidman, E. (2017). Discrete modes of social information processing predict individual behavior of fish in a group. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.1703817114 chicago: Harpaz, Roy, Gašper Tkačik, and Elad Schneidman. “Discrete Modes of Social Information Processing Predict Individual Behavior of Fish in a Group.” PNAS. National Academy of Sciences, 2017. https://doi.org/10.1073/pnas.1703817114. ieee: R. Harpaz, G. Tkačik, and E. Schneidman, “Discrete modes of social information processing predict individual behavior of fish in a group,” PNAS, vol. 114, no. 38. National Academy of Sciences, pp. 10149–10154, 2017. ista: Harpaz R, Tkačik G, Schneidman E. 2017. Discrete modes of social information processing predict individual behavior of fish in a group. PNAS. 114(38), 10149–10154. mla: Harpaz, Roy, et al. “Discrete Modes of Social Information Processing Predict Individual Behavior of Fish in a Group.” PNAS, vol. 114, no. 38, National Academy of Sciences, 2017, pp. 10149–54, doi:10.1073/pnas.1703817114. short: R. Harpaz, G. Tkačik, E. Schneidman, PNAS 114 (2017) 10149–10154. date_created: 2018-12-11T11:48:10Z date_published: 2017-09-19T00:00:00Z date_updated: 2021-01-12T08:12:36Z day: '19' department: - _id: GaTk doi: 10.1073/pnas.1703817114 external_id: pmid: - '28874581' intvolume: ' 114' issue: '38' language: - iso: eng main_file_link: - open_access: '1' url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5617265/ month: '09' oa: 1 oa_version: Submitted Version page: 10149 - 10154 pmid: 1 publication: PNAS publication_identifier: issn: - '00278424' publication_status: published publisher: National Academy of Sciences publist_id: '6953' quality_controlled: '1' scopus_import: 1 status: public title: Discrete modes of social information processing predict individual behavior of fish in a group type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 114 year: '2017' ... --- _id: '724' abstract: - lang: eng text: We investigate the stationary and dynamical behavior of an Anderson localized chain coupled to a single central bound state. Although this coupling partially dilutes the Anderson localized peaks towards nearly resonant sites, the most weight of the original peaks remains unchanged. This leads to multifractal wave functions with a frozen spectrum of fractal dimensions, which is characteristic for localized phases in models with power-law hopping. Using a perturbative approach we identify two different dynamical regimes. At weak couplings to the central site, the transport of particles and information is logarithmic in time, a feature usually attributed to many-body localization. We connect such transport to the persistence of the Poisson statistics of level spacings in parts of the spectrum. In contrast, at stronger couplings the level repulsion is established in the entire spectrum, the problem can be mapped to the Fano resonance, and the transport is ballistic. acknowledgement: "We would like to thank Dmitry Abanin, Christophe De\r\nBeule, \ Joel Moore, Romain Vasseur, and Norman Yao for\r\nmany stimulating discussions. \ Financial support has been\r\nprovided by the Deutsche Forschungsgemeinschaft \ (DFG)\r\nvia Grant No. TR950/8-1, SFB 1170 “ToCoTronics” and the\r\nENB Graduate \ School on Topological Insulators. M.S. was\r\nsupported by Gordon and Betty Moore Foundation’s EPiQS\r\nInitiative through Grant No. GBMF4307. F.P. acknowledges\r\nsupport from the DFG Research Unit FOR 1807 through Grant\r\nNo. PO 1370/2-1." article_number: '104203' author: - first_name: Daniel full_name: Hetterich, Daniel last_name: Hetterich - first_name: Maksym full_name: Serbyn, Maksym id: 47809E7E-F248-11E8-B48F-1D18A9856A87 last_name: Serbyn orcid: 0000-0002-2399-5827 - first_name: Fernando full_name: Domínguez, Fernando last_name: Domínguez - first_name: Frank full_name: Pollmann, Frank last_name: Pollmann - first_name: Björn full_name: Trauzettel, Björn last_name: Trauzettel citation: ama: Hetterich D, Serbyn M, Domínguez F, Pollmann F, Trauzettel B. Noninteracting central site model localization and logarithmic entanglement growth. Physical Review B. 2017;96(10). doi:10.1103/PhysRevB.96.104203 apa: Hetterich, D., Serbyn, M., Domínguez, F., Pollmann, F., & Trauzettel, B. (2017). Noninteracting central site model localization and logarithmic entanglement growth. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.96.104203 chicago: Hetterich, Daniel, Maksym Serbyn, Fernando Domínguez, Frank Pollmann, and Björn Trauzettel. “Noninteracting Central Site Model Localization and Logarithmic Entanglement Growth.” Physical Review B. American Physical Society, 2017. https://doi.org/10.1103/PhysRevB.96.104203. ieee: D. Hetterich, M. Serbyn, F. Domínguez, F. Pollmann, and B. Trauzettel, “Noninteracting central site model localization and logarithmic entanglement growth,” Physical Review B, vol. 96, no. 10. American Physical Society, 2017. ista: Hetterich D, Serbyn M, Domínguez F, Pollmann F, Trauzettel B. 2017. Noninteracting central site model localization and logarithmic entanglement growth. Physical Review B. 96(10), 104203. mla: Hetterich, Daniel, et al. “Noninteracting Central Site Model Localization and Logarithmic Entanglement Growth.” Physical Review B, vol. 96, no. 10, 104203, American Physical Society, 2017, doi:10.1103/PhysRevB.96.104203. short: D. Hetterich, M. Serbyn, F. Domínguez, F. Pollmann, B. Trauzettel, Physical Review B 96 (2017). date_created: 2018-12-11T11:48:09Z date_published: 2017-09-13T00:00:00Z date_updated: 2021-01-12T08:12:35Z day: '13' department: - _id: MaSe doi: 10.1103/PhysRevB.96.104203 intvolume: ' 96' issue: '10' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1701.02744 month: '09' oa: 1 oa_version: Submitted Version publication: Physical Review B publication_identifier: issn: - '24699950' publication_status: published publisher: American Physical Society publist_id: '6955' quality_controlled: '1' scopus_import: 1 status: public title: Noninteracting central site model localization and logarithmic entanglement growth type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 96 year: '2017' ... --- _id: '731' abstract: - lang: eng text: Genetic variations in the oxytocin receptor gene affect patients with ASD and ADHD differently. article_number: eaap8168 author: - first_name: Gaia full_name: Novarino, Gaia id: 3E57A680-F248-11E8-B48F-1D18A9856A87 last_name: Novarino orcid: 0000-0002-7673-7178 citation: ama: Novarino G. The science of love in ASD and ADHD. Science Translational Medicine. 2017;9(411). doi:10.1126/scitranslmed.aap8168 apa: Novarino, G. (2017). The science of love in ASD and ADHD. Science Translational Medicine. American Association for the Advancement of Science. https://doi.org/10.1126/scitranslmed.aap8168 chicago: Novarino, Gaia. “The Science of Love in ASD and ADHD.” Science Translational Medicine. American Association for the Advancement of Science, 2017. https://doi.org/10.1126/scitranslmed.aap8168. ieee: G. Novarino, “The science of love in ASD and ADHD,” Science Translational Medicine, vol. 9, no. 411. American Association for the Advancement of Science, 2017. ista: Novarino G. 2017. The science of love in ASD and ADHD. Science Translational Medicine. 9(411), eaap8168. mla: Novarino, Gaia. “The Science of Love in ASD and ADHD.” Science Translational Medicine, vol. 9, no. 411, eaap8168, American Association for the Advancement of Science, 2017, doi:10.1126/scitranslmed.aap8168. short: G. Novarino, Science Translational Medicine 9 (2017). date_created: 2018-12-11T11:48:12Z date_published: 2017-10-11T00:00:00Z date_updated: 2021-01-12T08:12:57Z day: '11' department: - _id: GaNo doi: 10.1126/scitranslmed.aap8168 intvolume: ' 9' issue: '411' language: - iso: eng month: '10' oa_version: None publication: Science Translational Medicine publication_identifier: issn: - '19466234' publication_status: published publisher: American Association for the Advancement of Science publist_id: '6938' quality_controlled: '1' scopus_import: 1 status: public title: The science of love in ASD and ADHD type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 9 year: '2017' ...