--- _id: '6793' abstract: - lang: eng text: The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asymptotic formula in mathematical physics. Here, we give a simple geometric proof of Regge symmetries in Euclidean, spherical, and hyperbolic geometry. article_processing_charge: No article_type: original author: - first_name: Arseniy full_name: Akopyan, Arseniy id: 430D2C90-F248-11E8-B48F-1D18A9856A87 last_name: Akopyan orcid: 0000-0002-2548-617X - first_name: Ivan full_name: Izmestiev, Ivan last_name: Izmestiev citation: ama: Akopyan A, Izmestiev I. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 2019;51(5):765-775. doi:10.1112/blms.12276 apa: Akopyan, A., & Izmestiev, I. (2019). The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.12276 chicago: Akopyan, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.” Bulletin of the London Mathematical Society. London Mathematical Society, 2019. https://doi.org/10.1112/blms.12276. ieee: A. Akopyan and I. Izmestiev, “The Regge symmetry, confocal conics, and the Schläfli formula,” Bulletin of the London Mathematical Society, vol. 51, no. 5. London Mathematical Society, pp. 765–775, 2019. ista: Akopyan A, Izmestiev I. 2019. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 51(5), 765–775. mla: Akopyan, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.” Bulletin of the London Mathematical Society, vol. 51, no. 5, London Mathematical Society, 2019, pp. 765–75, doi:10.1112/blms.12276. short: A. Akopyan, I. Izmestiev, Bulletin of the London Mathematical Society 51 (2019) 765–775. date_created: 2019-08-11T21:59:23Z date_published: 2019-10-01T00:00:00Z date_updated: 2023-08-29T07:08:34Z day: '01' department: - _id: HeEd doi: 10.1112/blms.12276 ec_funded: 1 external_id: arxiv: - '1903.04929' isi: - '000478560200001' intvolume: ' 51' isi: 1 issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1903.04929 month: '10' oa: 1 oa_version: Preprint page: 765-775 project: - _id: 266A2E9E-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '788183' name: Alpha Shape Theory Extended publication: Bulletin of the London Mathematical Society publication_identifier: eissn: - '14692120' issn: - '00246093' publication_status: published publisher: London Mathematical Society quality_controlled: '1' scopus_import: '1' status: public title: The Regge symmetry, confocal conics, and the Schläfli formula type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 51 year: '2019' ... --- _id: '6831' abstract: - lang: eng text: "* Understanding the mechanisms causing phenotypic differences between females and males has long fascinated evolutionary biologists. An extensive literature exists on animal sexual dimorphism but less information is known about sex differences in plants, particularly the extent of geographical variation in sexual dimorphism and its life‐cycle dynamics.\r\n* Here, we investigated patterns of genetically based sexual dimorphism in vegetative and reproductive traits of a wind‐pollinated dioecious plant, Rumex hastatulus, across three life‐cycle stages using open‐pollinated families from 30 populations spanning the geographic range and chromosomal variation (XY and XY1Y2) of the species.\r\n* The direction and degree of sexual dimorphism was highly variable among populations and life‐cycle stages. Sex‐specific differences in reproductive function explained a significant amount of temporal change in sexual dimorphism. For several traits, geographical variation in sexual dimorphism was associated with bioclimatic parameters, likely due to the differential responses of the sexes to climate. We found no systematic differences in sexual dimorphism between chromosome races.\r\n* Sex‐specific trait differences in dioecious plants largely result from a balance between sexual and natural selection on resource allocation. Our results indicate that abiotic factors associated with geographical context also play a role in modifying sexual dimorphism during the plant life‐cycle." article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Gemma full_name: Puixeu Sala, Gemma id: 33AB266C-F248-11E8-B48F-1D18A9856A87 last_name: Puixeu Sala orcid: 0000-0001-8330-1754 - first_name: Melinda full_name: Pickup, Melinda id: 2C78037E-F248-11E8-B48F-1D18A9856A87 last_name: Pickup orcid: 0000-0001-6118-0541 - first_name: David full_name: Field, David last_name: Field orcid: 0000-0002-4014-8478 - first_name: Spencer C.H. full_name: Barrett, Spencer C.H. last_name: Barrett citation: ama: 'Puixeu Sala G, Pickup M, Field D, Barrett SCH. Variation in sexual dimorphism in a wind-pollinated plant: The influence of geographical context and life-cycle dynamics. New Phytologist. 2019;224(3):1108-1120. doi:10.1111/nph.16050' apa: 'Puixeu Sala, G., Pickup, M., Field, D., & Barrett, S. C. H. (2019). Variation in sexual dimorphism in a wind-pollinated plant: The influence of geographical context and life-cycle dynamics. New Phytologist. Wiley. https://doi.org/10.1111/nph.16050' chicago: 'Puixeu Sala, Gemma, Melinda Pickup, David Field, and Spencer C.H. Barrett. “Variation in Sexual Dimorphism in a Wind-Pollinated Plant: The Influence of Geographical Context and Life-Cycle Dynamics.” New Phytologist. Wiley, 2019. https://doi.org/10.1111/nph.16050.' ieee: 'G. Puixeu Sala, M. Pickup, D. Field, and S. C. H. Barrett, “Variation in sexual dimorphism in a wind-pollinated plant: The influence of geographical context and life-cycle dynamics,” New Phytologist, vol. 224, no. 3. Wiley, pp. 1108–1120, 2019.' ista: 'Puixeu Sala G, Pickup M, Field D, Barrett SCH. 2019. Variation in sexual dimorphism in a wind-pollinated plant: The influence of geographical context and life-cycle dynamics. New Phytologist. 224(3), 1108–1120.' mla: 'Puixeu Sala, Gemma, et al. “Variation in Sexual Dimorphism in a Wind-Pollinated Plant: The Influence of Geographical Context and Life-Cycle Dynamics.” New Phytologist, vol. 224, no. 3, Wiley, 2019, pp. 1108–20, doi:10.1111/nph.16050.' short: G. Puixeu Sala, M. Pickup, D. Field, S.C.H. Barrett, New Phytologist 224 (2019) 1108–1120. date_created: 2019-08-25T22:00:51Z date_published: 2019-11-01T00:00:00Z date_updated: 2023-08-29T07:17:07Z day: '01' ddc: - '570' department: - _id: NiBa - _id: BeVi doi: 10.1111/nph.16050 ec_funded: 1 external_id: isi: - '000481376500001' file: - access_level: open_access checksum: 6370e7567d96b7b562e77d8b89653f80 content_type: application/pdf creator: apreinsp date_created: 2019-08-27T12:44:54Z date_updated: 2020-07-14T12:47:42Z file_id: '6833' file_name: 2019_NewPhytologist_Puixeu.pdf file_size: 2314016 relation: main_file file_date_updated: 2020-07-14T12:47:42Z has_accepted_license: '1' intvolume: ' 224' isi: 1 issue: '3' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '11' oa: 1 oa_version: Published Version page: 1108-1120 project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: New Phytologist publication_identifier: eissn: - 1469-8137 publication_status: published publisher: Wiley quality_controlled: '1' related_material: record: - id: '9803' relation: research_data status: public - id: '14058' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Variation in sexual dimorphism in a wind-pollinated plant: The influence of geographical context and life-cycle dynamics' 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 volume: 224 year: '2019' ... --- _id: '6828' abstract: - lang: eng text: In this paper we construct a family of exact functors from the category of Whittaker modules of the simple complex Lie algebra of type to the category of finite-dimensional modules of the graded affine Hecke algebra of type . Using results of Backelin [2] and of Arakawa-Suzuki [1], we prove that these functors map standard modules to standard modules (or zero) and simple modules to simple modules (or zero). Moreover, we show that each simple module of the graded affine Hecke algebra appears as the image of a simple Whittaker module. Since the Whittaker category contains the BGG category as a full subcategory, our results generalize results of Arakawa-Suzuki [1], which in turn generalize Schur-Weyl duality between finite-dimensional representations of and representations of the symmetric group . article_processing_charge: No article_type: original author: - first_name: Adam full_name: Brown, Adam id: 70B7FDF6-608D-11E9-9333-8535E6697425 last_name: Brown citation: ama: Brown A. Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra. 2019;538:261-289. doi:10.1016/j.jalgebra.2019.07.027 apa: Brown, A. (2019). Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra. Elsevier. https://doi.org/10.1016/j.jalgebra.2019.07.027 chicago: Brown, Adam. “Arakawa-Suzuki Functors for Whittaker Modules.” Journal of Algebra. Elsevier, 2019. https://doi.org/10.1016/j.jalgebra.2019.07.027. ieee: A. Brown, “Arakawa-Suzuki functors for Whittaker modules,” Journal of Algebra, vol. 538. Elsevier, pp. 261–289, 2019. ista: Brown A. 2019. Arakawa-Suzuki functors for Whittaker modules. Journal of Algebra. 538, 261–289. mla: Brown, Adam. “Arakawa-Suzuki Functors for Whittaker Modules.” Journal of Algebra, vol. 538, Elsevier, 2019, pp. 261–89, doi:10.1016/j.jalgebra.2019.07.027. short: A. Brown, Journal of Algebra 538 (2019) 261–289. date_created: 2019-08-22T07:54:13Z date_published: 2019-11-15T00:00:00Z date_updated: 2023-08-29T07:11:47Z day: '15' department: - _id: HeEd doi: 10.1016/j.jalgebra.2019.07.027 external_id: arxiv: - '1805.04676' isi: - '000487176300011' intvolume: ' 538' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1805.04676 month: '11' oa: 1 oa_version: Preprint page: 261-289 publication: Journal of Algebra publication_identifier: issn: - 0021-8693 publication_status: published publisher: Elsevier quality_controlled: '1' status: public title: Arakawa-Suzuki functors for Whittaker modules type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 538 year: '2019' ... --- _id: '9803' abstract: - lang: eng text: Understanding the mechanisms causing phenotypic differences between females and males has long fascinated evolutionary biologists. An extensive literature exists on animal sexual dimorphism but less is known about sex differences in plants, particularly the extent of geographical variation in sexual dimorphism and its life-cycle dynamics. Here, we investigate patterns of genetically-based sexual dimorphism in vegetative and reproductive traits of a wind-pollinated dioecious plant, Rumex hastatulus, across three life-cycle stages using open-pollinated families from 30 populations spanning the geographic range and chromosomal variation (XY and XY1Y2) of the species. The direction and degree of sexual dimorphism was highly variable among populations and life-cycle stages. Sex-specific differences in reproductive function explained a significant amount of temporal change in sexual dimorphism. For several traits, geographical variation in sexual dimorphism was associated with bioclimatic parameters, likely due to the differential responses of the sexes to climate. We found no systematic differences in sexual dimorphism between chromosome races. Sex-specific trait differences in dioecious plants largely result from a balance between sexual and natural selection on resource allocation. Our results indicate that abiotic factors associated with geographical context also play a role in modifying sexual dimorphism during the plant life cycle. article_processing_charge: No author: - first_name: Gemma full_name: Puixeu Sala, Gemma id: 33AB266C-F248-11E8-B48F-1D18A9856A87 last_name: Puixeu Sala orcid: 0000-0001-8330-1754 - first_name: Melinda full_name: Pickup, Melinda id: 2C78037E-F248-11E8-B48F-1D18A9856A87 last_name: Pickup orcid: 0000-0001-6118-0541 - first_name: David full_name: Field, David last_name: Field - first_name: Spencer C.H. full_name: Barrett, Spencer C.H. last_name: Barrett citation: ama: 'Puixeu Sala G, Pickup M, Field D, Barrett SCH. Data from: Variation in sexual dimorphism in a wind-pollinated plant: the influence of geographical context and life-cycle dynamics. 2019. doi:10.5061/dryad.n1701c9' apa: 'Puixeu Sala, G., Pickup, M., Field, D., & Barrett, S. C. H. (2019). Data from: Variation in sexual dimorphism in a wind-pollinated plant: the influence of geographical context and life-cycle dynamics. Dryad. https://doi.org/10.5061/dryad.n1701c9' chicago: 'Puixeu Sala, Gemma, Melinda Pickup, David Field, and Spencer C.H. Barrett. “Data from: Variation in Sexual Dimorphism in a Wind-Pollinated Plant: The Influence of Geographical Context and Life-Cycle Dynamics.” Dryad, 2019. https://doi.org/10.5061/dryad.n1701c9.' ieee: 'G. Puixeu Sala, M. Pickup, D. Field, and S. C. H. Barrett, “Data from: Variation in sexual dimorphism in a wind-pollinated plant: the influence of geographical context and life-cycle dynamics.” Dryad, 2019.' ista: 'Puixeu Sala G, Pickup M, Field D, Barrett SCH. 2019. Data from: Variation in sexual dimorphism in a wind-pollinated plant: the influence of geographical context and life-cycle dynamics, Dryad, 10.5061/dryad.n1701c9.' mla: 'Puixeu Sala, Gemma, et al. Data from: Variation in Sexual Dimorphism in a Wind-Pollinated Plant: The Influence of Geographical Context and Life-Cycle Dynamics. Dryad, 2019, doi:10.5061/dryad.n1701c9.' short: G. Puixeu Sala, M. Pickup, D. Field, S.C.H. Barrett, (2019). date_created: 2021-08-06T11:48:42Z date_published: 2019-07-22T00:00:00Z date_updated: 2023-08-29T07:17:07Z day: '22' department: - _id: NiBa - _id: BeVi doi: 10.5061/dryad.n1701c9 main_file_link: - open_access: '1' url: https://doi.org/10.5061/dryad.n1701c9 month: '07' oa: 1 oa_version: Published Version publisher: Dryad related_material: record: - id: '14058' relation: used_in_publication status: public - id: '6831' relation: used_in_publication status: public status: public title: 'Data from: Variation in sexual dimorphism in a wind-pollinated plant: the influence of geographical context and life-cycle dynamics' type: research_data_reference user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf year: '2019' ... --- _id: '6836' abstract: - lang: eng text: Direct reciprocity is a powerful mechanism for the evolution of cooperation on the basis of repeated interactions1,2,3,4. It requires that interacting individuals are sufficiently equal, such that everyone faces similar consequences when they cooperate or defect. Yet inequality is ubiquitous among humans5,6 and is generally considered to undermine cooperation and welfare7,8,9,10. Most previous models of reciprocity do not include inequality11,12,13,14,15. These models assume that individuals are the same in all relevant aspects. Here we introduce a general framework to study direct reciprocity among unequal individuals. Our model allows for multiple sources of inequality. Subjects can differ in their endowments, their productivities and in how much they benefit from public goods. We find that extreme inequality prevents cooperation. But if subjects differ in productivity, some endowment inequality can be necessary for cooperation to prevail. Our mathematical predictions are supported by a behavioural experiment in which we vary the endowments and productivities of the subjects. We observe that overall welfare is maximized when the two sources of heterogeneity are aligned, such that more productive individuals receive higher endowments. By contrast, when endowments and productivities are misaligned, cooperation quickly breaks down. Our findings have implications for policy-makers concerned with equity, efficiency and the provisioning of public goods. article_processing_charge: No article_type: letter_note author: - first_name: Oliver P. full_name: Hauser, Oliver P. last_name: Hauser - first_name: Christian full_name: Hilbe, Christian id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87 last_name: Hilbe orcid: 0000-0001-5116-955X - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Martin A. full_name: Nowak, Martin A. last_name: Nowak citation: ama: Hauser OP, Hilbe C, Chatterjee K, Nowak MA. Social dilemmas among unequals. Nature. 2019;572(7770):524-527. doi:10.1038/s41586-019-1488-5 apa: Hauser, O. P., Hilbe, C., Chatterjee, K., & Nowak, M. A. (2019). Social dilemmas among unequals. Nature. Springer Nature. https://doi.org/10.1038/s41586-019-1488-5 chicago: Hauser, Oliver P., Christian Hilbe, Krishnendu Chatterjee, and Martin A. Nowak. “Social Dilemmas among Unequals.” Nature. Springer Nature, 2019. https://doi.org/10.1038/s41586-019-1488-5. ieee: O. P. Hauser, C. Hilbe, K. Chatterjee, and M. A. Nowak, “Social dilemmas among unequals,” Nature, vol. 572, no. 7770. Springer Nature, pp. 524–527, 2019. ista: Hauser OP, Hilbe C, Chatterjee K, Nowak MA. 2019. Social dilemmas among unequals. Nature. 572(7770), 524–527. mla: Hauser, Oliver P., et al. “Social Dilemmas among Unequals.” Nature, vol. 572, no. 7770, Springer Nature, 2019, pp. 524–27, doi:10.1038/s41586-019-1488-5. short: O.P. Hauser, C. Hilbe, K. Chatterjee, M.A. Nowak, Nature 572 (2019) 524–527. date_created: 2019-09-01T22:00:56Z date_published: 2019-08-22T00:00:00Z date_updated: 2023-08-29T07:42:54Z day: '22' ddc: - '000' department: - _id: KrCh doi: 10.1038/s41586-019-1488-5 ec_funded: 1 external_id: isi: - '000482219600045' file: - access_level: open_access checksum: a6e0e3168bf62de624e7772cdfaeb26f content_type: application/pdf creator: dernst date_created: 2020-05-14T10:00:32Z date_updated: 2020-07-14T12:47:42Z file_id: '7828' file_name: 2019_Nature_Hauser.pdf file_size: 18577756 relation: main_file file_date_updated: 2020-07-14T12:47:42Z has_accepted_license: '1' intvolume: ' 572' isi: 1 issue: '7770' language: - iso: eng month: '08' oa: 1 oa_version: Submitted Version page: 524-527 project: - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme publication: Nature publication_identifier: eissn: - '14764687' issn: - '00280836' publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/too-much-inequality-impedes-support-for-public-goods-according-to-research-published-in-nature/ scopus_import: '1' status: public title: Social dilemmas among unequals type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 572 year: '2019' ...