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Exterior algebra and combinatorics. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:13331\">10.15479/at:ista:13331</a>","mla":"Köse, Seyda. <i>Exterior Algebra and Combinatorics</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:13331\">10.15479/at:ista:13331</a>.","ista":"Köse S. 2023. Exterior algebra and combinatorics. Institute of Science and Technology Austria.","short":"S. Köse, Exterior Algebra and Combinatorics, Institute of Science and Technology Austria, 2023.","apa":"Köse, S. (2023). <i>Exterior algebra and combinatorics</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:13331\">https://doi.org/10.15479/at:ista:13331</a>","ieee":"S. Köse, “Exterior algebra and combinatorics,” Institute of Science and Technology Austria, 2023.","chicago":"Köse, Seyda. “Exterior Algebra and Combinatorics.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:13331\">https://doi.org/10.15479/at:ista:13331</a>."},"ddc":["510","516"],"related_material":{"record":[{"relation":"part_of_dissertation","id":"12680","status":"public"}]},"alternative_title":["ISTA Master's Thesis"],"title":"Exterior algebra and combinatorics","doi":"10.15479/at:ista:13331","year":"2023","file_date_updated":"2023-08-03T15:28:55Z","page":"26","status":"public","supervisor":[{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Wagner, Uli","last_name":"Wagner","orcid":"0000-0002-1494-0568","first_name":"Uli"}],"type":"dissertation","day":"31","file":[{"content_type":"application/x-zip-compressed","relation":"source_file","file_id":"13333","creator":"skoese","file_name":"Exterior Algebra and Combinatorics.zip","file_size":28684,"date_created":"2023-07-31T10:16:32Z","checksum":"96ee518d796d02af71395622c45de03c","date_updated":"2023-07-31T10:16:32Z","access_level":"closed"},{"access_level":"open_access","date_updated":"2023-08-03T15:28:55Z","checksum":"f610f4713f88bc477de576aaa46b114e","date_created":"2023-08-03T15:28:55Z","file_size":4953418,"file_name":"thesis-pdfa.pdf","creator":"skoese","file_id":"13480","relation":"main_file","content_type":"application/pdf","success":1}],"date_created":"2023-07-31T10:20:55Z","department":[{"_id":"GradSch"},{"_id":"UlWa"}],"has_accepted_license":"1","degree_awarded":"MS","language":[{"iso":"eng"}],"publisher":"Institute of Science and Technology Austria","date_published":"2023-07-31T00:00:00Z","month":"07"},{"month":"08","date_published":"2023-08-24T00:00:00Z","publisher":"Institute of Science and Technology Austria","language":[{"iso":"eng"}],"degree_awarded":"MS","has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"HeEd"}],"file":[{"file_id":"14227","creator":"cchlebak","relation":"source_file","content_type":"application/x-zip-compressed","checksum":"453caf851d75c3478c10ed09bd242a91","date_created":"2023-08-24T13:02:49Z","file_size":15501411,"file_name":"documents-export-2023-08-24.zip","access_level":"closed","date_updated":"2024-02-26T23:30:03Z","embargo_to":"open_access"},{"date_updated":"2024-02-26T23:30:03Z","access_level":"open_access","date_created":"2023-08-24T13:03:42Z","checksum":"7349d29963d6695e555e171748648d9a","file_name":"thesis_pdf_a.pdf","embargo":"2024-02-25","file_size":6854783,"file_id":"14228","creator":"cchlebak","content_type":"application/pdf","relation":"main_file"}],"date_created":"2023-08-24T13:01:18Z","day":"24","type":"dissertation","status":"public","supervisor":[{"last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"}],"page":"43","file_date_updated":"2024-02-26T23:30:03Z","doi":"10.15479/at:ista:14226","year":"2023","title":"Generalizing medial axes with homology switches","alternative_title":["ISTA Master's Thesis"],"ddc":["500"],"citation":{"chicago":"Stephenson, Elizabeth R. “Generalizing Medial Axes with Homology Switches.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:14226\">https://doi.org/10.15479/at:ista:14226</a>.","ieee":"E. R. Stephenson, “Generalizing medial axes with homology switches,” Institute of Science and Technology Austria, 2023.","apa":"Stephenson, E. R. (2023). <i>Generalizing medial axes with homology switches</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:14226\">https://doi.org/10.15479/at:ista:14226</a>","short":"E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.","ista":"Stephenson ER. 2023. Generalizing medial axes with homology switches. Institute of Science and Technology Austria.","ama":"Stephenson ER. Generalizing medial axes with homology switches. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:14226\">10.15479/at:ista:14226</a>","mla":"Stephenson, Elizabeth R. <i>Generalizing Medial Axes with Homology Switches</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:14226\">10.15479/at:ista:14226</a>."},"publication_status":"published","abstract":[{"lang":"eng","text":"We introduce the notion of a Faustian interchange in a 1-parameter family of smooth\r\nfunctions to generalize the medial axis to critical points of index larger than 0.\r\nWe construct and implement a general purpose algorithm for approximating such\r\ngeneralized medial axes."}],"author":[{"id":"2D04F932-F248-11E8-B48F-1D18A9856A87","first_name":"Elizabeth R","orcid":"0000-0002-6862-208X","full_name":"Stephenson, Elizabeth R","last_name":"Stephenson"}],"article_processing_charge":"No","date_updated":"2024-02-26T23:30:04Z","oa":1,"publication_identifier":{"issn":["2791-4585"]},"_id":"14226","oa_version":"Published Version","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9"},{"publication_status":"published","citation":{"short":"K. Kirillova, Panoramic Functional Gradients across the Mouse Retina, Institute of Science and Technology Austria, 2023.","ista":"Kirillova K. 2023. Panoramic functional gradients across the mouse retina. Institute of Science and Technology Austria.","mla":"Kirillova, Kseniia. <i>Panoramic Functional Gradients across the Mouse Retina</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:12531\">10.15479/at:ista:12531</a>.","ama":"Kirillova K. Panoramic functional gradients across the mouse retina. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:12531\">10.15479/at:ista:12531</a>","chicago":"Kirillova, Kseniia. “Panoramic Functional Gradients across the Mouse Retina.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:12531\">https://doi.org/10.15479/at:ista:12531</a>.","apa":"Kirillova, K. (2023). <i>Panoramic functional gradients across the mouse retina</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12531\">https://doi.org/10.15479/at:ista:12531</a>","ieee":"K. Kirillova, “Panoramic functional gradients across the mouse retina,” Institute of Science and Technology Austria, 2023."},"author":[{"full_name":"Kirillova, Kseniia","last_name":"Kirillova","first_name":"Kseniia","id":"8e3f931e-dc85-11ea-9058-e7b957bf23f0"}],"abstract":[{"lang":"eng","text":"All visual experiences of the vertebrates begin with light being converted into electrical signals\r\nby the eye retina. Retinal ganglion cells (RGCs) are the neurons of the innermost layer of the\r\nmammal retina, and they transmit visual information to the rest of the brain.\r\nIt has been shown that RGCs vary in their morphology and genetic profiles, moreover they can\r\nbe unambiguously grouped into subtypes that share the same morphological and/or molecular\r\nproperties. However, in terms of RGCs function, it remains unclear how many distinct types\r\nthere are and what response properties their typology relies on. Even given the recent studies\r\nthat successfully classified RGCs in a patch of the retina [1] and in scotopic conditions [2], the\r\nquestion remains whether the found subtypes persist across the entire retina.\r\nIn this work, using a novel imaging method, we show that, when sampled from a large portion\r\nof the retina, RGCs can not be clearly divided into functional subtypes. We found that in\r\nphotopic conditions, which implies more prominent natural scene statistic differences across\r\nthe visual field, response properties can be exhibited by cells differently depending on their\r\nlocation in the retina, which leads to formation of a gradient of features rather than distinct\r\nclasses.\r\nThis finding suggests that RGCs follow a global organization across the visual field of the\r\nanimal, adapting each RGC subtype to the requirements imposed by the natural scene statistics."}],"date_updated":"2024-02-09T23:30:04Z","oa":1,"article_processing_charge":"No","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","_id":"12531","publication_identifier":{"issn":["2791-4585"]},"year":"2023","doi":"10.15479/at:ista:12531","title":"Panoramic functional gradients across the mouse retina","alternative_title":["ISTA Master's Thesis"],"tmp":{"short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode"},"ddc":["570"],"type":"dissertation","day":"08","supervisor":[{"id":"2BD278E6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-3937-1330","full_name":"Jösch, Maximilian A","last_name":"Jösch","first_name":"Maximilian A"}],"status":"public","file_date_updated":"2024-02-09T23:30:03Z","page":"46","date_published":"2023-02-08T00:00:00Z","month":"02","language":[{"iso":"eng"}],"publisher":"Institute of Science and Technology Austria","department":[{"_id":"GradSch"},{"_id":"MaJö"}],"license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","degree_awarded":"MS","has_accepted_license":"1","file":[{"file_id":"12532","creator":"cchlebak","content_type":"application/pdf","relation":"main_file","date_created":"2023-02-09T08:03:32Z","checksum":"57d8da3a6c749eb1556b7435fe266a5f","file_name":"Thesis_Kseniia___ISTA__istaustriathesis_PDF-A.pdf","embargo":"2024-02-08","file_size":8369317,"date_updated":"2024-02-09T23:30:03Z","access_level":"open_access"},{"relation":"source_file","content_type":"application/x-zip-compressed","file_id":"12535","creator":"cchlebak","embargo_to":"open_access","access_level":"closed","date_updated":"2024-02-09T23:30:03Z","file_size":11204408,"file_name":"Thesis Kseniia - ISTA [istaustriathesis]-FINAL.zip","checksum":"87fb44318e4f9eb9da2ad9ad6ca8e76f","date_created":"2023-02-10T09:32:06Z"}],"date_created":"2023-02-09T07:45:05Z"},{"publisher":"Institute of Science and Technology Austria","language":[{"iso":"eng"}],"month":"04","date_published":"2023-04-05T00:00:00Z","date_created":"2023-04-04T18:57:11Z","file":[{"content_type":"application/vnd.openxmlformats-officedocument.spreadsheetml.sheet","relation":"supplementary_material","creator":"mjulseth","file_id":"12805","file_name":"Dispersaldata.xlsx","file_size":52795,"date_created":"2023-04-06T06:09:40Z","checksum":"b76cf6d69f2093d8248f6a3f9d4654a4","embargo_to":"open_access","date_updated":"2023-06-02T22:30:04Z","access_level":"closed"},{"date_updated":"2023-06-02T22:30:04Z","access_level":"open_access","date_created":"2023-04-06T06:11:27Z","checksum":"5a13b6d204371572e249f03795bc0d04","file_name":"2023_MSc_ThesisMaraJulseth_Notebook.nb","embargo":"2023-06-01","file_size":787239,"creator":"mjulseth","file_id":"12806","content_type":"application/vnd.wolfram.nb","relation":"supplementary_material"},{"date_created":"2023-04-06T08:26:12Z","checksum":"c3ec842839ed1e66bf2618ae33047df8","file_name":"ThesisMaraJulseth_04_23.docx","file_size":1061763,"date_updated":"2023-06-02T22:30:04Z","access_level":"closed","embargo_to":"open_access","file_id":"12812","creator":"mjulseth","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","relation":"source_file"},{"content_type":"application/pdf","relation":"main_file","file_id":"12813","creator":"mjulseth","date_updated":"2023-06-02T22:30:04Z","access_level":"open_access","file_name":"ThesisMaraJulseth_04_23.pdf","file_size":1741364,"embargo":"2023-06-01","date_created":"2023-04-06T08:26:37Z","checksum":"3132cc998fbe3ae2a3a83c2a69367f37"}],"degree_awarded":"MS","has_accepted_license":"1","department":[{"_id":"GradSch"},{"_id":"NiBa"}],"status":"public","supervisor":[{"id":"4880FE40-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8548-5240","last_name":"Barton","full_name":"Barton, Nicholas H","first_name":"Nicholas H"}],"day":"05","type":"dissertation","page":"21","file_date_updated":"2023-06-02T22:30:04Z","title":"The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone","year":"2023","doi":"10.15479/at:ista:12800","ddc":["576"],"alternative_title":["ISTA Master's Thesis"],"abstract":[{"text":"The evolutionary processes that brought about today’s plethora of living species and the many billions more ancient ones all underlie biology. Evolutionary pathways are neither directed nor deterministic, but rather an interplay between selection, migration, mutation, genetic drift and other environmental factors. Hybrid zones, as natural crossing experiments, offer a great opportunity to use cline analysis to deduce different evolutionary processes - for example, selection strength. Theoretical cline models, largely assuming uniform distribution of individuals, often lack the capability of incorporating population structure. Since in reality organisms mostly live in patchy distributions and their dispersal is hardly ever Gaussian, it is necessary to unravel the effect of these different elements of population structure on cline parameters and shape. In this thesis, I develop a simulation inspired by the A. majus hybrid zone of a single selected locus under frequency dependent selection. This simulation enables us to untangle the effects of different elements of population structure as for example a low-density center and long-range dispersal. This thesis is therefore a first step towards theoretically untangling the effects of different elements of population structure on cline parameters and shape. ","lang":"eng"}],"author":[{"id":"1cf464b2-dc7d-11ea-9b2f-f9b1aa9417d1","last_name":"Julseth","full_name":"Julseth, Mara","first_name":"Mara"}],"publication_status":"published","citation":{"chicago":"Julseth, Mara. “The Effect of Local Population Structure on Genetic Variation at Selected Loci in the A. Majus Hybrid Zone.” Institute of Science and Technology Austria, 2023. <a href=\"https://doi.org/10.15479/at:ista:12800\">https://doi.org/10.15479/at:ista:12800</a>.","apa":"Julseth, M. (2023). <i>The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:12800\">https://doi.org/10.15479/at:ista:12800</a>","ieee":"M. Julseth, “The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone,” Institute of Science and Technology Austria, 2023.","short":"M. Julseth, The Effect of Local Population Structure on Genetic Variation at Selected Loci in the A. Majus Hybrid Zone, Institute of Science and Technology Austria, 2023.","ista":"Julseth M. 2023. The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone. Institute of Science and Technology Austria.","ama":"Julseth M. The effect of local population structure on genetic variation at selected loci in the A. majus hybrid zone. 2023. doi:<a href=\"https://doi.org/10.15479/at:ista:12800\">10.15479/at:ista:12800</a>","mla":"Julseth, Mara. <i>The Effect of Local Population Structure on Genetic Variation at Selected Loci in the A. Majus Hybrid Zone</i>. Institute of Science and Technology Austria, 2023, doi:<a href=\"https://doi.org/10.15479/at:ista:12800\">10.15479/at:ista:12800</a>."},"_id":"12800","publication_identifier":{"issn":["2791-4585"]},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa_version":"Published Version","oa":1,"date_updated":"2023-06-02T22:30:05Z","article_processing_charge":"No"},{"date_created":"2021-12-07T10:48:06Z","file":[{"access_level":"closed","date_updated":"2022-03-10T12:10:25Z","checksum":"114e8f4b2c002c6c352416c12de2c695","date_created":"2021-12-07T11:13:52Z","file_size":394018,"file_name":"Thesis.zip","file_id":"10424","creator":"cchlebak","relation":"source_file","content_type":"application/x-zip-compressed"},{"creator":"cchlebak","file_id":"10425","relation":"source_file","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","checksum":"cd15ae991ced352a9959815f794e657c","date_created":"2021-12-07T11:14:01Z","file_size":47638,"file_name":"Preliminary_pages_Piankov.docx","access_level":"closed","date_updated":"2022-03-10T12:10:25Z"},{"file_size":484965,"file_name":"2021_Piankov_combined.pdf","checksum":"e6899c798b75ba42fab9822bce309050","date_created":"2021-12-07T11:20:35Z","access_level":"open_access","date_updated":"2021-12-07T11:20:35Z","success":1,"relation":"main_file","content_type":"application/pdf","creator":"cchlebak","file_id":"10426"}],"ddc":["530"],"alternative_title":["ISTA Master's Thesis"],"has_accepted_license":"1","degree_awarded":"MS","department":[{"_id":"GradSch"},{"_id":"CaGo"}],"publisher":"Institute of Science and Technology Austria","title":"Towards designer materials using customizable particle shape","language":[{"iso":"eng"}],"month":"12","year":"2021","doi":"10.15479/at:ista:10422","date_published":"2021-12-07T00:00:00Z","_id":"10422","publication_identifier":{"issn":["2791-4585"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa_version":"Published Version","oa":1,"date_updated":"2023-09-07T13:34:12Z","file_date_updated":"2022-03-10T12:10:25Z","article_processing_charge":"No","abstract":[{"text":"Those who aim to devise new materials with desirable properties usually examine present methods first. However, they will find out that some approaches can exist only conceptually without high chances to become practically useful. It seems that a numerical technique called automatic differentiation together with increasing supply of computational accelerators will soon shift many methods of the material design from the category ”unimaginable” to the category ”expensive but possible”. Approach we suggest is not an exception. Our overall goal is to have an efficient and generalizable approach allowing to solve inverse design problems. In this thesis we scratch its surface. We consider jammed systems of identical particles. And ask ourselves how the shape of those particles (or the parameters codifying it) may affect mechanical properties of the system. An indispensable part of reaching the answer is an appropriate particle parametrization. We come up with a simple, yet generalizable and purposeful scheme for it. Using our generalizable shape parameterization, we simulate the formation of a solid composed of pentagonal-like particles and measure anisotropy in the resulting elastic response. Through automatic differentiation techniques, we directly connect the shape parameters with the elastic response. Interestingly, for our system we find that less isotropic particles lead to a more isotropic elastic response. Together with other results known about our method it seems that it can be successfully generalized for different inverse design problems.","lang":"eng"}],"status":"public","supervisor":[{"id":"EB352CD2-F68A-11E9-89C5-A432E6697425","last_name":"Goodrich","full_name":"Goodrich, Carl Peter","orcid":"0000-0002-1307-5074","first_name":"Carl Peter"}],"author":[{"id":"865E3C26-AA8C-11E9-A409-C4C4E5697425","full_name":"Piankov, Anton","last_name":"Piankov","first_name":"Anton"}],"publication_status":"published","day":"07","citation":{"apa":"Piankov, A. (2021). <i>Towards designer materials using customizable particle shape</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:10422\">https://doi.org/10.15479/at:ista:10422</a>","ieee":"A. Piankov, “Towards designer materials using customizable particle shape,” Institute of Science and Technology Austria, 2021.","chicago":"Piankov, Anton. “Towards Designer Materials Using Customizable Particle Shape.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/at:ista:10422\">https://doi.org/10.15479/at:ista:10422</a>.","ama":"Piankov A. Towards designer materials using customizable particle shape. 2021. doi:<a href=\"https://doi.org/10.15479/at:ista:10422\">10.15479/at:ista:10422</a>","mla":"Piankov, Anton. <i>Towards Designer Materials Using Customizable Particle Shape</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/at:ista:10422\">10.15479/at:ista:10422</a>.","short":"A. Piankov, Towards Designer Materials Using Customizable Particle Shape, Institute of Science and Technology Austria, 2021.","ista":"Piankov A. 2021. Towards designer materials using customizable particle shape. Institute of Science and Technology Austria."},"type":"dissertation"}]