[{"department":[{"_id":"GradSch"},{"_id":"GaTk"}],"publisher":"Ubiquity Press","publication_status":"published","year":"2024","acknowledgement":"The authors would like to thank the special issue co-editors, Marco Janssen and Xiao-Shan Yap, and the anonymous reviewers for their comments that helped improve the manuscript. The paper also benefited from suggestions by other author participants in this special issue. We would also like to thank the 2022 Santa Fe Institute Complex Systems Summer School for providing space to initiate this study.","volume":18,"date_created":"2024-01-30T11:58:02Z","date_updated":"2024-02-05T10:10:27Z","author":[{"full_name":"Nomura, Keiko","first_name":"Keiko","last_name":"Nomura"},{"full_name":"Rella, Simon","id":"B4765ACA-AA38-11E9-AC9A-0930E6697425","last_name":"Rella","first_name":"Simon"},{"full_name":"Merritt, Haily","first_name":"Haily","last_name":"Merritt"},{"first_name":"Mathieu","last_name":"Baltussen","full_name":"Baltussen, Mathieu"},{"last_name":"Bird","first_name":"Darcy","full_name":"Bird, Darcy"},{"full_name":"Tjuka, Annika","last_name":"Tjuka","first_name":"Annika"},{"first_name":"Dan","last_name":"Falk","full_name":"Falk, Dan"}],"file_date_updated":"2024-02-05T10:06:35Z","quality_controlled":"1","oa":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"},"language":[{"iso":"eng"}],"doi":"10.5334/ijc.1275","publication_identifier":{"issn":["1875-0281"]},"month":"01","intvolume":" 18","title":"Tipping points of space debris in low earth orbit","ddc":["550"],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14901","oa_version":"Published Version","file":[{"relation":"main_file","file_id":"14939","date_updated":"2024-02-05T10:06:35Z","date_created":"2024-02-05T10:06:35Z","checksum":"b80ebc889033c365d8f8c05a0c655382","success":1,"file_name":"2023_IntJourCommons_Nomura.pdf","access_level":"open_access","file_size":1305786,"content_type":"application/pdf","creator":"dernst"}],"type":"journal_article","issue":"1","abstract":[{"text":"Global services like navigation, communication, and Earth observation have increased dramatically in the 21st century due to advances in outer space industries. But as orbits become increasingly crowded with both satellites and inevitable space debris pollution, continued operations become endangered by the heightened risks of debris collisions in orbit. Kessler Syndrome is the term for when a critical threshold of orbiting debris triggers a runaway positive feedback loop of debris collisions, creating debris congestion that can render orbits unusable. As this potential tipping point becomes more widely recognized, there have been renewed calls for debris mitigation and removal. Here, we combine complex systems and social-ecological systems approaches to study how these efforts may affect space debris accumulation and the likelihood of reaching Kessler Syndrome. Specifically, we model how debris levels are affected by future launch rates, cleanup activities, and collisions between extant debris. We contextualize and interpret our dynamic model within a discussion of existing space debris governance and other social, economic, and geopolitical factors that may influence effective collective management of the orbital commons. In line with previous studies, our model finds that debris congestion may be reached in less than 200 years, though a holistic management strategy combining removal and mitigation actions can avoid such outcomes while continuing space activities. Moreover, although active debris removal may be particularly effective, the current lack of market and governance support may impede its implementation. Research into these critical dynamics and the multi-faceted variables that influence debris outcomes can support policymakers in curating impactful governance strategies and realistic transition pathways to sustaining debris-free orbits. Overall, our study is useful for communicating about space debris sustainability in policy and education settings by providing an exploration of policy portfolio options supported by a simple and clear social-ecological modeling approach.","lang":"eng"}],"article_type":"original","citation":{"apa":"Nomura, K., Rella, S., Merritt, H., Baltussen, M., Bird, D., Tjuka, A., & Falk, D. (2024). Tipping points of space debris in low earth orbit. International Journal of the Commons. Ubiquity Press. https://doi.org/10.5334/ijc.1275","ieee":"K. Nomura et al., “Tipping points of space debris in low earth orbit,” International Journal of the Commons, vol. 18, no. 1. Ubiquity Press, 2024.","ista":"Nomura K, Rella S, Merritt H, Baltussen M, Bird D, Tjuka A, Falk D. 2024. Tipping points of space debris in low earth orbit. International Journal of the Commons. 18(1).","ama":"Nomura K, Rella S, Merritt H, et al. Tipping points of space debris in low earth orbit. International Journal of the Commons. 2024;18(1). doi:10.5334/ijc.1275","chicago":"Nomura, Keiko, Simon Rella, Haily Merritt, Mathieu Baltussen, Darcy Bird, Annika Tjuka, and Dan Falk. “Tipping Points of Space Debris in Low Earth Orbit.” International Journal of the Commons. Ubiquity Press, 2024. https://doi.org/10.5334/ijc.1275.","short":"K. Nomura, S. Rella, H. Merritt, M. Baltussen, D. Bird, A. Tjuka, D. Falk, International Journal of the Commons 18 (2024).","mla":"Nomura, Keiko, et al. “Tipping Points of Space Debris in Low Earth Orbit.” International Journal of the Commons, vol. 18, no. 1, Ubiquity Press, 2024, doi:10.5334/ijc.1275."},"publication":"International Journal of the Commons","date_published":"2024-01-11T00:00:00Z","keyword":["Sociology and Political Science"],"scopus_import":"1","article_processing_charge":"Yes","has_accepted_license":"1","day":"11"},{"article_type":"original","publication":"Journal of Nonlinear Science","citation":{"chicago":"Davoli, Elisa, Lorenza D’Elia, and Jonas Ingmanns. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science. Springer Nature, 2024. https://doi.org/10.1007/s00332-023-10005-3.","short":"E. Davoli, L. D’Elia, J. Ingmanns, Journal of Nonlinear Science 34 (2024).","mla":"Davoli, Elisa, et al. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science, vol. 34, no. 2, 30, Springer Nature, 2024, doi:10.1007/s00332-023-10005-3.","apa":"Davoli, E., D’Elia, L., & Ingmanns, J. (2024). Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. Springer Nature. https://doi.org/10.1007/s00332-023-10005-3","ieee":"E. Davoli, L. D’Elia, and J. Ingmanns, “Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions,” Journal of Nonlinear Science, vol. 34, no. 2. Springer Nature, 2024.","ista":"Davoli E, D’Elia L, Ingmanns J. 2024. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 34(2), 30.","ama":"Davoli E, D’Elia L, Ingmanns J. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 2024;34(2). doi:10.1007/s00332-023-10005-3"},"date_published":"2024-01-23T00:00:00Z","scopus_import":"1","day":"23","article_processing_charge":"No","title":"Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions","status":"public","intvolume":" 34","_id":"14884","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","type":"journal_article","abstract":[{"text":"We perform a stochastic homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize the Gamma-limit of a micromagnetic energy functional defined on magnetizations taking value in the unit sphere and including both symmetric and antisymmetric exchange contributions. This Gamma-limit corresponds to a micromagnetic energy functional with homogeneous coefficients. We provide explicit formulas for the effective magnetic properties of the composite material in terms of homogenization correctors. Additionally, the variational analysis of the two exchange energy terms is performed in the more general setting of functionals defined on manifold-valued maps with Sobolev regularity, in the case in which the target manifold is a bounded, orientable smooth surface with tubular neighborhood of uniform thickness. Eventually, we present an explicit characterization of minimizers of the effective exchange in the case of magnetic multilayers, providing quantitative evidence of Dzyaloshinskii’s predictions on the emergence of helical structures in composite ferromagnetic materials with stochastic microstructure.","lang":"eng"}],"issue":"2","quality_controlled":"1","project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2306.05151"}],"external_id":{"arxiv":["2306.05151"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00332-023-10005-3","month":"01","publication_identifier":{"issn":["0938-8974"],"eissn":["1432-1467"]},"publication_status":"epub_ahead","department":[{"_id":"JuFi"}],"publisher":"Springer Nature","year":"2024","acknowledgement":"All authors acknowledge support of the Austrian Science Fund (FWF) through the SFB project F65. The research of E. Davoli and L. D’Elia has additionally been supported by the FWF through grants V662, Y1292, and P35359, as well as from OeAD through the WTZ grant CZ09/2023.","date_updated":"2024-02-05T08:54:44Z","date_created":"2024-01-28T23:01:42Z","volume":34,"author":[{"last_name":"Davoli","first_name":"Elisa","full_name":"Davoli, Elisa"},{"full_name":"D’Elia, Lorenza","last_name":"D’Elia","first_name":"Lorenza"},{"id":"71523d30-15b2-11ec-abd3-f80aa909d6b0","first_name":"Jonas","last_name":"Ingmanns","full_name":"Ingmanns, Jonas"}],"article_number":"30"},{"month":"01","publication_identifier":{"eissn":["1469-3178"]},"language":[{"iso":"eng"}],"doi":"10.1038/s44319-023-00020-6","quality_controlled":"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"},"oa":1,"file_date_updated":"2024-02-05T12:35:03Z","date_created":"2024-02-04T23:00:53Z","date_updated":"2024-02-05T12:37:07Z","volume":25,"author":[{"full_name":"Pimenta-Marques, Ana","first_name":"Ana","last_name":"Pimenta-Marques"},{"last_name":"Perestrelo","first_name":"Tania","full_name":"Perestrelo, Tania"},{"full_name":"Dos Reis Rodrigues, Patricia","last_name":"Dos Reis Rodrigues","first_name":"Patricia","orcid":"0000-0003-1681-508X","id":"26E95904-5160-11E9-9C0B-C5B0DC97E90F"},{"full_name":"Duarte, Paulo","first_name":"Paulo","last_name":"Duarte"},{"last_name":"Ferreira-Silva","first_name":"Ana","full_name":"Ferreira-Silva, Ana"},{"last_name":"Lince-Faria","first_name":"Mariana","full_name":"Lince-Faria, Mariana"},{"first_name":"Mónica","last_name":"Bettencourt-Dias","full_name":"Bettencourt-Dias, Mónica"}],"publication_status":"published","department":[{"_id":"MiSi"}],"publisher":"Embo Press","acknowledgement":"We thank all members of the Cell Cycle and Regulation Lab for the discussions and for the critical reading of the manuscript. We thank Tomer Avidor-Reiss (University of Toledo, Toledo, OH), Daniel St. Johnston (The Gurdon Institute, Cambridge, UK), David Glover (University of Cambridge, Cambridge, UK), Jingyan Fu (Agricultural University, Beijing, China) Jordan Raff (University of Oxford, Oxford, UK) and Timothy Megraw (Florida State University, Tallahassee, FL) for sharing tools. We acknowledge the technical support of Instituto Gulbenkian de Ciência (IGC)‘s Advanced Imaging Facility, in particular Gabriel Martins, Nuno Pimpão Martins and José Marques. We also thank Tiago Paixão from the IGC’s Quantitative & Digital Science Unit and Marco Louro from the CCR lab for the support provided on statistical analysis. IGC’s Advanced Imaging Facility (AIF-UIC) is supported by the national Portuguese funding ref# PPBI-POCI-01-0145-FEDER -022122. We thank the IGC’s Fly Facility, supported by CONGENTO (LISBOA-01-0145-FEDER-022170). This work was supported by an ERC grant (ERC-2015-CoG-683258) awarded to MBD and a grant from the Portuguese Research Council (FCT) awarded to APM (PTDC/BIA-BID/32225/2017).","year":"2024","day":"10","article_processing_charge":"Yes (in subscription journal)","has_accepted_license":"1","scopus_import":"1","date_published":"2024-01-10T00:00:00Z","article_type":"original","page":"102-127","publication":"EMBO reports","citation":{"ista":"Pimenta-Marques A, Perestrelo T, Dos Reis Rodrigues P, Duarte P, Ferreira-Silva A, Lince-Faria M, Bettencourt-Dias M. 2024. Ana1/CEP295 is an essential player in the centrosome maintenance program regulated by Polo kinase and the PCM. EMBO reports. 25(1), 102–127.","apa":"Pimenta-Marques, A., Perestrelo, T., Dos Reis Rodrigues, P., Duarte, P., Ferreira-Silva, A., Lince-Faria, M., & Bettencourt-Dias, M. (2024). Ana1/CEP295 is an essential player in the centrosome maintenance program regulated by Polo kinase and the PCM. EMBO Reports. Embo Press. https://doi.org/10.1038/s44319-023-00020-6","ieee":"A. Pimenta-Marques et al., “Ana1/CEP295 is an essential player in the centrosome maintenance program regulated by Polo kinase and the PCM,” EMBO reports, vol. 25, no. 1. Embo Press, pp. 102–127, 2024.","ama":"Pimenta-Marques A, Perestrelo T, Dos Reis Rodrigues P, et al. Ana1/CEP295 is an essential player in the centrosome maintenance program regulated by Polo kinase and the PCM. EMBO reports. 2024;25(1):102-127. doi:10.1038/s44319-023-00020-6","chicago":"Pimenta-Marques, Ana, Tania Perestrelo, Patricia Dos Reis Rodrigues, Paulo Duarte, Ana Ferreira-Silva, Mariana Lince-Faria, and Mónica Bettencourt-Dias. “Ana1/CEP295 Is an Essential Player in the Centrosome Maintenance Program Regulated by Polo Kinase and the PCM.” EMBO Reports. Embo Press, 2024. https://doi.org/10.1038/s44319-023-00020-6.","mla":"Pimenta-Marques, Ana, et al. “Ana1/CEP295 Is an Essential Player in the Centrosome Maintenance Program Regulated by Polo Kinase and the PCM.” EMBO Reports, vol. 25, no. 1, Embo Press, 2024, pp. 102–27, doi:10.1038/s44319-023-00020-6.","short":"A. Pimenta-Marques, T. Perestrelo, P. Dos Reis Rodrigues, P. Duarte, A. Ferreira-Silva, M. Lince-Faria, M. Bettencourt-Dias, EMBO Reports 25 (2024) 102–127."},"abstract":[{"text":"Centrioles are part of centrosomes and cilia, which are microtubule organising centres (MTOC) with diverse functions. Despite their stability, centrioles can disappear during differentiation, such as in oocytes, but little is known about the regulation of their structural integrity. Our previous research revealed that the pericentriolar material (PCM) that surrounds centrioles and its recruiter, Polo kinase, are downregulated in oogenesis and sufficient for maintaining both centrosome structural integrity and MTOC activity. We now show that the expression of specific components of the centriole cartwheel and wall, including ANA1/CEP295, is essential for maintaining centrosome integrity. We find that Polo kinase requires ANA1 to promote centriole stability in cultured cells and eggs. In addition, ANA1 expression prevents the loss of centrioles observed upon PCM-downregulation. However, the centrioles maintained by overexpressing and tethering ANA1 are inactive, unlike the MTOCs observed upon tethering Polo kinase. These findings demonstrate that several centriole components are needed to maintain centrosome structure. Our study also highlights that centrioles are more dynamic than previously believed, with their structural stability relying on the continuous expression of multiple components.","lang":"eng"}],"issue":"1","type":"journal_article","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":9645056,"creator":"dernst","access_level":"open_access","file_name":"2023_EmboReports_PimentaMarques.pdf","checksum":"53c3ef43d9bd6d7bff3ffcf57d763cac","success":1,"date_created":"2024-02-05T12:35:03Z","date_updated":"2024-02-05T12:35:03Z","relation":"main_file","file_id":"14941"}],"ddc":["570"],"status":"public","title":"Ana1/CEP295 is an essential player in the centrosome maintenance program regulated by Polo kinase and the PCM","intvolume":" 25","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14933"},{"article_type":"original","quality_controlled":"1","oa":1,"citation":{"short":"M. Tsuboi, B.T. Kopperud, M. Matschiner, M. Grabowski, C. Syrowatka, C. Pélabon, T.F. Hansen, Evolutionary Biology (2024).","mla":"Tsuboi, Masahito, et al. “Antler Allometry, the Irish Elk and Gould Revisited.” Evolutionary Biology, Springer Nature, 2024, doi:10.1007/s11692-023-09624-1.","chicago":"Tsuboi, Masahito, Bjørn Tore Kopperud, Michael Matschiner, Mark Grabowski, Chrsitine Syrowatka, Christophe Pélabon, and Thomas F. Hansen. “Antler Allometry, the Irish Elk and Gould Revisited.” Evolutionary Biology. Springer Nature, 2024. https://doi.org/10.1007/s11692-023-09624-1.","ama":"Tsuboi M, Kopperud BT, Matschiner M, et al. Antler allometry, the Irish elk and Gould revisited. Evolutionary Biology. 2024. doi:10.1007/s11692-023-09624-1","apa":"Tsuboi, M., Kopperud, B. T., Matschiner, M., Grabowski, M., Syrowatka, C., Pélabon, C., & Hansen, T. F. (2024). Antler allometry, the Irish elk and Gould revisited. Evolutionary Biology. Springer Nature. https://doi.org/10.1007/s11692-023-09624-1","ieee":"M. Tsuboi et al., “Antler allometry, the Irish elk and Gould revisited,” Evolutionary Biology. Springer Nature, 2024.","ista":"Tsuboi M, Kopperud BT, Matschiner M, Grabowski M, Syrowatka C, Pélabon C, Hansen TF. 2024. Antler allometry, the Irish elk and Gould revisited. Evolutionary Biology."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s11692-023-09624-1"}],"publication":"Evolutionary Biology","language":[{"iso":"eng"}],"date_published":"2024-01-29T00:00:00Z","doi":"10.1007/s11692-023-09624-1","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"eissn":["1934-2845"],"issn":["0071-3260"]},"day":"29","month":"01","publisher":"Springer Nature","department":[{"_id":"MaRo"}],"title":"Antler allometry, the Irish elk and Gould revisited","status":"public","publication_status":"epub_ahead","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14932","year":"2024","acknowledgement":"Open access funding provided by University of Oslo (incl Oslo University Hospital).\r\nWe thank Adrian Lister, Louis Tomsett, Roberto Portela Miguez and Roula Pappa (NHMUK), Brian O'Toole and Eileen Westwig (AMNH), Daniela Kalthoff (NHRM), Alexander Bibl and Zachos Frank (NHMW), Darrin Lunde and John Ososky (NMNH), Matthew Parkes and Nigel Monaghan (NMI), Elizabetta Cioppi and Luca Bellucci (IGF), and Yoshihiro Tanaka and Hiroyuki Taruno (OMNH), who helped us in obtaining the museum data, and a special thanks to Jørgen Sikkeland (NTNU NHM) for assistance in obtaining the ontogenetic data for the red deer. We thank Olja Toljagic and Kjetil L. Voje for discussions, Ayumu Tsuboi for assistance with data collection, and Jean-Michel Gaillard and the anonymous reviewers for comments on the manuscript. We thank the Centre of Advanced Study (CAS) at the Norwegian Academy of Sciences and Letters for hosting us during the academic year of 2019/2020 when much of the analysis and writing were done. MT was funded by JSPS Research Fellowship for Young Scientists (201603238).","oa_version":"Published Version","date_created":"2024-02-04T23:00:53Z","date_updated":"2024-02-05T12:43:58Z","author":[{"full_name":"Tsuboi, Masahito","last_name":"Tsuboi","first_name":"Masahito"},{"full_name":"Kopperud, Bjørn Tore","last_name":"Kopperud","first_name":"Bjørn Tore"},{"last_name":"Matschiner","first_name":"Michael","full_name":"Matschiner, Michael"},{"full_name":"Grabowski, Mark","last_name":"Grabowski","first_name":"Mark"},{"id":"205ffb76-7fe7-11eb-aa17-958bd11b99ad","last_name":"Syrowatka","first_name":"Chrsitine","full_name":"Syrowatka, Chrsitine"},{"last_name":"Pélabon","first_name":"Christophe","full_name":"Pélabon, Christophe"},{"first_name":"Thomas F.","last_name":"Hansen","full_name":"Hansen, Thomas F."}],"type":"journal_article","abstract":[{"lang":"eng","text":"The huge antlers of the extinct Irish elk have invited evolutionary speculation since Darwin. In the 1970s, Stephen Jay Gould presented the first extensive data on antler size in the Irish elk and combined these with comparative data from other deer to test the hypothesis that the gigantic antlers were the outcome of a positive allometry that constrained large-bodied deer to have proportionally even larger antlers. He concluded that the Irish elk had antlers as predicted for its size and interpreted this within his emerging framework of developmental constraints as an explanatory factor in evolution. Here we reanalyze antler allometry based on new morphometric data for 57 taxa of the family Cervidae. We also present a new phylogeny for the Cervidae, which we use for comparative analyses. In contrast to Gould, we find that the antlers of Irish elk were larger than predicted from the allometry within the true deer, Cervini, as analyzed by Gould, but follow the allometry across Cervidae as a whole. After dissecting the discrepancy, we reject the allometric-constraint hypothesis because, contrary to Gould, we find no similarity between static and evolutionary allometries, and because we document extensive non-allometric evolution of antler size across the Cervidae."}]},{"_id":"14934","year":"2024","acknowledgement":"The authors would like to thank Matthias Erbar and Ronan Herry for valuable discussions on this project. They are also grateful to Nathanaël Berestycki, and Fabrice Baudoin for respectively pointing out the references [7], and [6, 24], and to Julien Fageot and Thomas Letendre for pointing out a mistake in a previous version of the proof of Proposition 3.10. The authors feel very much indebted to an anonymous reviewer for his/her careful reading and the many valuable suggestions that have significantly contributed to the improvement of the paper. L.D.S. gratefully acknowledges financial support by the Deutsche Forschungsgemeinschaft through CRC 1060 as well as through SPP 2265, and by the Austrian Science Fund (FWF) grant F65 at Institute of Science and Technology Austria. This research was funded in whole or in part by the Austrian Science Fund (FWF) ESPRIT 208. For the purpose of open access, the authors have applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission. E.K. and K.-T.S. gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft through the Hausdorff Center for Mathematics and through CRC 1060 as well as through SPP 2265.\r\nOpen Access funding enabled and organized by Projekt DEAL.","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"JaMa"}],"publisher":"Springer Nature","status":"public","publication_status":"epub_ahead","title":"A discovery tour in random Riemannian geometry","author":[{"last_name":"Dello Schiavo","first_name":"Lorenzo","orcid":"0000-0002-9881-6870","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","full_name":"Dello Schiavo, Lorenzo"},{"full_name":"Kopfer, Eva","last_name":"Kopfer","first_name":"Eva"},{"full_name":"Sturm, Karl Theodor","last_name":"Sturm","first_name":"Karl Theodor"}],"oa_version":"Published Version","date_created":"2024-02-04T23:00:54Z","date_updated":"2024-02-05T13:04:23Z","type":"journal_article","abstract":[{"text":"We study random perturbations of a Riemannian manifold (M, g) by means of so-called\r\nFractional Gaussian Fields, which are defined intrinsically by the given manifold. The fields\r\nh• : ω \u0002→ hω will act on the manifold via the conformal transformation g \u0002→ gω := e2hω g.\r\nOur focus will be on the regular case with Hurst parameter H > 0, the critical case H = 0\r\nbeing the celebrated Liouville geometry in two dimensions. We want to understand how basic\r\ngeometric and functional-analytic quantities like diameter, volume, heat kernel, Brownian\r\nmotion, spectral bound, or spectral gap change under the influence of the noise. And if so, is\r\nit possible to quantify these dependencies in terms of key parameters of the noise? Another\r\ngoal is to define and analyze in detail the Fractional Gaussian Fields on a general Riemannian\r\nmanifold, a fascinating object of independent interest.","lang":"eng"}],"oa":1,"citation":{"mla":"Dello Schiavo, Lorenzo, et al. “A Discovery Tour in Random Riemannian Geometry.” Potential Analysis, Springer Nature, 2024, doi:10.1007/s11118-023-10118-0.","short":"L. Dello Schiavo, E. Kopfer, K.T. Sturm, Potential Analysis (2024).","chicago":"Dello Schiavo, Lorenzo, Eva Kopfer, and Karl Theodor Sturm. “A Discovery Tour in Random Riemannian Geometry.” Potential Analysis. Springer Nature, 2024. https://doi.org/10.1007/s11118-023-10118-0.","ama":"Dello Schiavo L, Kopfer E, Sturm KT. A discovery tour in random Riemannian geometry. Potential Analysis. 2024. doi:10.1007/s11118-023-10118-0","ista":"Dello Schiavo L, Kopfer E, Sturm KT. 2024. A discovery tour in random Riemannian geometry. Potential Analysis.","apa":"Dello Schiavo, L., Kopfer, E., & Sturm, K. T. (2024). A discovery tour in random Riemannian geometry. Potential Analysis. Springer Nature. https://doi.org/10.1007/s11118-023-10118-0","ieee":"L. Dello Schiavo, E. Kopfer, and K. T. Sturm, “A discovery tour in random Riemannian geometry,” Potential Analysis. Springer Nature, 2024."},"main_file_link":[{"url":"https://doi.org/10.1007/s11118-023-10118-0","open_access":"1"}],"publication":"Potential Analysis","project":[{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"quality_controlled":"1","article_type":"original","date_published":"2024-01-26T00:00:00Z","doi":"10.1007/s11118-023-10118-0","language":[{"iso":"eng"}],"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","publication_identifier":{"issn":["0926-2601"],"eissn":["1572-929X"]},"day":"26","month":"01"}]