[{"oa":1,"title":"Quantum critical behaviour at the many-body localization transition","publication_identifier":{"eissn":["1476-4687"],"issn":["0028-0836"]},"external_id":{"pmid":["31485075"],"arxiv":["1812.06959"]},"abstract":[{"lang":"eng","text":"Phase transitions are driven by collective fluctuations of a system’s constituents that emerge at a critical point1. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behaviour is described by the general theory of phase transitions. Recently, however, fundamentally distinct phase transitions have been discovered for out-of-equilibrium quantum systems, which can exhibit critical behaviour that defies this description and is not well understood1. A paradigmatic example is the many-body localization (MBL) transition, which marks the breakdown of thermalization in an isolated quantum many-body system as its disorder increases beyond a critical value2,3,4,5,6,7,8,9,10,11. Characterizing quantum critical behaviour in an MBL system requires probing its entanglement over space and time4,5,7, which has proved experimentally challenging owing to stringent requirements on quantum state preparation and system isolation. Here we observe quantum critical behaviour at the MBL transition in a disordered Bose–Hubbard system and characterize its entanglement via its multi-point quantum correlations. We observe the emergence of strong correlations, accompanied by the onset of anomalous diffusive transport throughout the system, and verify their critical nature by measuring their dependence on the system size. The correlations extend to high orders in the quantum critical regime and appear to form via a sparse network of many-body resonances that spans the entire system12,13. Our results connect the macroscopic phenomenology of the transition to the system’s microscopic structure of quantum correlations, and they provide an essential step towards understanding criticality and universality in non-equilibrium systems1,7,13."}],"doi":"10.1038/s41586-019-1527-2","date_published":"2019-09-04T00:00:00Z","_id":"18195","date_updated":"2024-10-08T09:33:30Z","type":"journal_article","status":"public","volume":573,"issue":"7774","extern":"1","intvolume":"       573","citation":{"ieee":"M. Rispoli <i>et al.</i>, “Quantum critical behaviour at the many-body localization transition,” <i>Nature</i>, vol. 573, no. 7774. Springer Nature, pp. 385–389, 2019.","ista":"Rispoli M, Lukin A, Schittko R, Kim S, Tai ME, Leonard J, Greiner M. 2019. Quantum critical behaviour at the many-body localization transition. Nature. 573(7774), 385–389.","apa":"Rispoli, M., Lukin, A., Schittko, R., Kim, S., Tai, M. E., Leonard, J., &#38; Greiner, M. (2019). Quantum critical behaviour at the many-body localization transition. <i>Nature</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41586-019-1527-2\">https://doi.org/10.1038/s41586-019-1527-2</a>","short":"M. Rispoli, A. Lukin, R. Schittko, S. Kim, M.E. Tai, J. Leonard, M. Greiner, Nature 573 (2019) 385–389.","chicago":"Rispoli, Matthew, Alexander Lukin, Robert Schittko, Sooshin Kim, M. Eric Tai, Julian Leonard, and Markus Greiner. “Quantum Critical Behaviour at the Many-Body Localization Transition.” <i>Nature</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1038/s41586-019-1527-2\">https://doi.org/10.1038/s41586-019-1527-2</a>.","mla":"Rispoli, Matthew, et al. “Quantum Critical Behaviour at the Many-Body Localization Transition.” <i>Nature</i>, vol. 573, no. 7774, Springer Nature, 2019, pp. 385–89, doi:<a href=\"https://doi.org/10.1038/s41586-019-1527-2\">10.1038/s41586-019-1527-2</a>.","ama":"Rispoli M, Lukin A, Schittko R, et al. Quantum critical behaviour at the many-body localization transition. <i>Nature</i>. 2019;573(7774):385-389. doi:<a href=\"https://doi.org/10.1038/s41586-019-1527-2\">10.1038/s41586-019-1527-2</a>"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1812.06959"}],"arxiv":1,"year":"2019","scopus_import":"1","pmid":1,"publisher":"Springer Nature","day":"04","article_type":"letter_note","publication_status":"published","language":[{"iso":"eng"}],"publication":"Nature","oa_version":"Preprint","article_processing_charge":"No","month":"09","fulldoi":"https://doi.org/10.1038/s41586-019-1527-2","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2024-10-07T11:48:26Z","page":"385-389","author":[{"last_name":"Rispoli","first_name":"Matthew","full_name":"Rispoli, Matthew"},{"first_name":"Alexander","full_name":"Lukin, Alexander","last_name":"Lukin"},{"first_name":"Robert","full_name":"Schittko, Robert","last_name":"Schittko"},{"last_name":"Kim","full_name":"Kim, Sooshin","first_name":"Sooshin"},{"first_name":"M. Eric","full_name":"Tai, M. Eric","last_name":"Tai"},{"first_name":"Julian","full_name":"Leonard, Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard"},{"first_name":"Markus","full_name":"Greiner, Markus","last_name":"Greiner"}]},{"publisher":"American Association for the Advancement of Science","day":"19","scopus_import":"1","publication":"Science","language":[{"iso":"eng"}],"publication_status":"published","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.1126/science.aau0818","month":"04","quality_controlled":"1","article_processing_charge":"No","oa_version":"Preprint","author":[{"last_name":"Lukin","full_name":"Lukin, Alexander","first_name":"Alexander"},{"last_name":"Rispoli","full_name":"Rispoli, Matthew","first_name":"Matthew"},{"full_name":"Schittko, Robert","first_name":"Robert","last_name":"Schittko"},{"last_name":"Tai","first_name":"M. Eric","full_name":"Tai, M. Eric"},{"full_name":"Kaufman, Adam M.","first_name":"Adam M.","last_name":"Kaufman"},{"last_name":"Choi","full_name":"Choi, Soonwon","first_name":"Soonwon"},{"first_name":"Vedika","full_name":"Khemani, Vedika","last_name":"Khemani"},{"first_name":"Julian","full_name":"Leonard, Julian","last_name":"Leonard","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577"},{"full_name":"Greiner, Markus","first_name":"Markus","last_name":"Greiner"}],"page":"256-260","date_created":"2024-10-07T11:48:43Z","abstract":[{"text":"An interacting quantum system that is subject to disorder may cease to thermalize owing to localization of its constituents, thereby marking the breakdown of thermodynamics. The key to understanding this phenomenon lies in the system’s entanglement, which is experimentally challenging to measure. We realize such a many-body–localized system in a disordered Bose-Hubbard chain and characterize its entanglement properties through particle fluctuations and correlations. We observe that the particles become localized, suppressing transport and preventing the thermalization of subsystems. Notably, we measure the development of nonlocal correlations, whose evolution is consistent with a logarithmic growth of entanglement entropy, the hallmark of many-body localization. Our work experimentally establishes many-body localization as a qualitatively distinct phenomenon from localization in noninteracting, disordered systems.","lang":"eng"}],"external_id":{"arxiv":["1805.09819"]},"publication_identifier":{"eissn":["1095-9203"],"issn":["0036-8075"]},"title":"Probing entanglement in a many-body–localized system","oa":1,"issue":"6437","volume":364,"type":"journal_article","status":"public","date_updated":"2024-10-08T09:28:42Z","_id":"18196","doi":"10.1126/science.aau0818","date_published":"2019-04-19T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1805.09819"}],"arxiv":1,"citation":{"ama":"Lukin A, Rispoli M, Schittko R, et al. Probing entanglement in a many-body–localized system. <i>Science</i>. 2019;364(6437):256-260. doi:<a href=\"https://doi.org/10.1126/science.aau0818\">10.1126/science.aau0818</a>","mla":"Lukin, Alexander, et al. “Probing Entanglement in a Many-Body–Localized System.” <i>Science</i>, vol. 364, no. 6437, American Association for the Advancement of Science, 2019, pp. 256–60, doi:<a href=\"https://doi.org/10.1126/science.aau0818\">10.1126/science.aau0818</a>.","chicago":"Lukin, Alexander, Matthew Rispoli, Robert Schittko, M. Eric Tai, Adam M. Kaufman, Soonwon Choi, Vedika Khemani, Julian Leonard, and Markus Greiner. “Probing Entanglement in a Many-Body–Localized System.” <i>Science</i>. American Association for the Advancement of Science, 2019. <a href=\"https://doi.org/10.1126/science.aau0818\">https://doi.org/10.1126/science.aau0818</a>.","short":"A. Lukin, M. Rispoli, R. Schittko, M.E. Tai, A.M. Kaufman, S. Choi, V. Khemani, J. Leonard, M. Greiner, Science 364 (2019) 256–260.","ista":"Lukin A, Rispoli M, Schittko R, Tai ME, Kaufman AM, Choi S, Khemani V, Leonard J, Greiner M. 2019. Probing entanglement in a many-body–localized system. Science. 364(6437), 256–260.","ieee":"A. Lukin <i>et al.</i>, “Probing entanglement in a many-body–localized system,” <i>Science</i>, vol. 364, no. 6437. American Association for the Advancement of Science, pp. 256–260, 2019.","apa":"Lukin, A., Rispoli, M., Schittko, R., Tai, M. E., Kaufman, A. M., Choi, S., … Greiner, M. (2019). Probing entanglement in a many-body–localized system. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.aau0818\">https://doi.org/10.1126/science.aau0818</a>"},"intvolume":"       364","extern":"1","year":"2019"},{"year":"2019","extern":"1","citation":{"mla":"Diamant, Nir, et al. “Beholder-Gan: Generation and Beautification of Facial Images with Conditioning on Their Beauty Level.” <i>2019 IEEE International Conference on Image Processing (ICIP)</i>, 8803807, IEEE, 2019, doi:<a href=\"https://doi.org/10.1109/icip.2019.8803807\">10.1109/icip.2019.8803807</a>.","ama":"Diamant N, Zadok D, Baskin C, Schwartz E, Bronstein AM. Beholder-Gan: Generation and beautification of facial images with conditioning on their beauty level. In: <i>2019 IEEE International Conference on Image Processing (ICIP)</i>. IEEE; 2019. doi:<a href=\"https://doi.org/10.1109/icip.2019.8803807\">10.1109/icip.2019.8803807</a>","chicago":"Diamant, Nir, Dean Zadok, Chaim Baskin, Eli Schwartz, and Alex M. Bronstein. “Beholder-Gan: Generation and Beautification of Facial Images with Conditioning on Their Beauty Level.” In <i>2019 IEEE International Conference on Image Processing (ICIP)</i>. IEEE, 2019. <a href=\"https://doi.org/10.1109/icip.2019.8803807\">https://doi.org/10.1109/icip.2019.8803807</a>.","short":"N. Diamant, D. Zadok, C. Baskin, E. Schwartz, A.M. Bronstein, in:, 2019 IEEE International Conference on Image Processing (ICIP), IEEE, 2019.","ista":"Diamant N, Zadok D, Baskin C, Schwartz E, Bronstein AM. 2019. Beholder-Gan: Generation and beautification of facial images with conditioning on their beauty level. 2019 IEEE International Conference on Image Processing (ICIP). 26th IEEE International Conference on Image Processing, 8803807.","ieee":"N. Diamant, D. Zadok, C. Baskin, E. Schwartz, and A. M. Bronstein, “Beholder-Gan: Generation and beautification of facial images with conditioning on their beauty level,” in <i>2019 IEEE International Conference on Image Processing (ICIP)</i>, Taipei, Taiwan, 2019.","apa":"Diamant, N., Zadok, D., Baskin, C., Schwartz, E., &#38; Bronstein, A. M. (2019). Beholder-Gan: Generation and beautification of facial images with conditioning on their beauty level. In <i>2019 IEEE International Conference on Image Processing (ICIP)</i>. Taipei, Taiwan: IEEE. <a href=\"https://doi.org/10.1109/icip.2019.8803807\">https://doi.org/10.1109/icip.2019.8803807</a>"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1902.02593"}],"arxiv":1,"_id":"18256","doi":"10.1109/icip.2019.8803807","date_published":"2019-08-26T00:00:00Z","status":"public","type":"conference","date_updated":"2024-12-05T15:59:29Z","article_number":"8803807","title":"Beholder-Gan: Generation and beautification of facial images with conditioning on their beauty level","publication_identifier":{"eissn":["2381-8549"],"isbn":["9781538662502"]},"oa":1,"abstract":[{"text":"\"Beauty is in the eye of the beholder.\" This maxim, emphasizing the subjectivity of the perception of beauty, has enjoyed a wide consensus since ancient times. In the digital era, data-driven methods have been shown to be able to predict human-assigned beauty scores for facial images. In this work, we augment this ability and train a generative model that generates faces conditioned on a requested beauty score. In addition, we show how this trained generator can be used to \"beautify\" an input face image. By doing so, we achieve an unsupervised beautification model, in the sense that it relies on no ground truth target images. Our implementation is available on: https://github.com/beholdergan/Beholder-GAN.","lang":"eng"}],"external_id":{"arxiv":["1902.02593"]},"date_created":"2024-10-08T13:07:32Z","author":[{"last_name":"Diamant","full_name":"Diamant, Nir","first_name":"Nir"},{"last_name":"Zadok","first_name":"Dean","full_name":"Zadok, Dean"},{"last_name":"Baskin","first_name":"Chaim","full_name":"Baskin, Chaim"},{"first_name":"Eli","full_name":"Schwartz, Eli","last_name":"Schwartz"},{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein","orcid":"0000-0001-9699-8730","full_name":"Bronstein, Alexander","first_name":"Alexander"}],"article_processing_charge":"No","oa_version":"Preprint","fulldoi":"https://doi.org/10.1109/icip.2019.8803807","quality_controlled":"1","month":"08","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"publication_status":"published","publication":"2019 IEEE International Conference on Image Processing (ICIP)","scopus_import":"1","conference":{"name":"26th IEEE International Conference on Image Processing","start_date":"2019-09-22","location":"Taipei, Taiwan","end_date":"2019-09-25"},"day":"26","publisher":"IEEE"},{"date_created":"2024-10-08T13:07:51Z","author":[{"first_name":"Arianna","full_name":"Rampini, Arianna","last_name":"Rampini"},{"first_name":"Irene","full_name":"Tallini, Irene","last_name":"Tallini"},{"last_name":"Ovsjanikov","full_name":"Ovsjanikov, Maks","first_name":"Maks"},{"last_name":"Bronstein","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","orcid":"0000-0001-9699-8730","first_name":"Alexander","full_name":"Bronstein, Alexander"},{"first_name":"Emanuele","full_name":"Rodola, Emanuele","last_name":"Rodola"}],"article_processing_charge":"No","oa_version":"Preprint","fulldoi":"https://doi.org/10.1109/3dv.2019.00014","month":"10","quality_controlled":"1","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"publication_status":"published","publication":"2019 International Conference on 3D Vision (3DV)","scopus_import":"1","conference":{"name":"7th International Conference on 3D Vision","location":"Quebec City, QC, Canada","start_date":"2019-09-16","end_date":"2019-09-19"},"day":"31","publisher":"IEEE","year":"2019","extern":"1","citation":{"ama":"Rampini A, Tallini I, Ovsjanikov M, Bronstein AM, Rodola E. Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment. In: <i>2019 International Conference on 3D Vision (3DV)</i>. IEEE; 2019. doi:<a href=\"https://doi.org/10.1109/3dv.2019.00014\">10.1109/3dv.2019.00014</a>","mla":"Rampini, Arianna, et al. “Correspondence-Free Region Localization for Partial Shape Similarity via Hamiltonian Spectrum Alignment.” <i>2019 International Conference on 3D Vision (3DV)</i>, 8886146, IEEE, 2019, doi:<a href=\"https://doi.org/10.1109/3dv.2019.00014\">10.1109/3dv.2019.00014</a>.","chicago":"Rampini, Arianna, Irene Tallini, Maks Ovsjanikov, Alex M. Bronstein, and Emanuele Rodola. “Correspondence-Free Region Localization for Partial Shape Similarity via Hamiltonian Spectrum Alignment.” In <i>2019 International Conference on 3D Vision (3DV)</i>. IEEE, 2019. <a href=\"https://doi.org/10.1109/3dv.2019.00014\">https://doi.org/10.1109/3dv.2019.00014</a>.","short":"A. Rampini, I. Tallini, M. Ovsjanikov, A.M. Bronstein, E. Rodola, in:, 2019 International Conference on 3D Vision (3DV), IEEE, 2019.","apa":"Rampini, A., Tallini, I., Ovsjanikov, M., Bronstein, A. M., &#38; Rodola, E. (2019). Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment. In <i>2019 International Conference on 3D Vision (3DV)</i>. Quebec City, QC, Canada: IEEE. <a href=\"https://doi.org/10.1109/3dv.2019.00014\">https://doi.org/10.1109/3dv.2019.00014</a>","ieee":"A. Rampini, I. Tallini, M. Ovsjanikov, A. M. Bronstein, and E. Rodola, “Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment,” in <i>2019 International Conference on 3D Vision (3DV)</i>, Quebec City, QC, Canada, 2019.","ista":"Rampini A, Tallini I, Ovsjanikov M, Bronstein AM, Rodola E. 2019. Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment. 2019 International Conference on 3D Vision (3DV). 7th International Conference on 3D Vision, 8886146."},"arxiv":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1906.06226","open_access":"1"}],"_id":"18257","date_published":"2019-10-31T00:00:00Z","doi":"10.1109/3dv.2019.00014","type":"conference","status":"public","date_updated":"2024-12-05T15:49:06Z","article_number":"8886146","title":"Correspondence-free region localization for partial shape similarity via Hamiltonian spectrum alignment","publication_identifier":{"eissn":["2475-7888"],"isbn":["9781728131320"]},"oa":1,"abstract":[{"lang":"eng","text":"We consider the problem of localizing relevant subsets of non-rigid geometric shapes given only a partial 3D query as the input. Such problems arise in several challenging tasks in 3D vision and graphics, including partial shape similarity, retrieval, and non-rigid correspondence. We phrase the problem as one of alignment between short sequences of eigenvalues of basic differential operators, which are constructed upon a scalar function defined on the 3D surfaces. Our method therefore seeks for a scalar function that entails this alignment. Differently from existing approaches, we do not require solving for a correspondence between the query and the target, therefore greatly simplifying the optimization process; our core technique is also descriptor-free, as it is driven by the geometry of the two objects as encoded in their operator spectra. We further show that our spectral alignment algorithm provides a remarkably simple alternative to the recent shape-from-spectrum reconstruction approaches. For both applications, we demonstrate improvement over the state-of-the-art either in terms of accuracy or computational cost."}],"external_id":{"arxiv":["1906.06226"]}},{"arxiv":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2211.01434"}],"citation":{"short":"A. Tsitsulin, D. Mottin, P. Karras, A.M. Bronstein, E. Müller, in:, Companion Proceedings of The 2019 World Wide Web Conference, ACM, 2019, pp. 308–309.","ista":"Tsitsulin A, Mottin D, Karras P, Bronstein AM, Müller E. 2019. Spectral graph complexity. Companion Proceedings of The 2019 World Wide Web Conference. WWW: The Web Conference, 308–309.","ieee":"A. Tsitsulin, D. Mottin, P. Karras, A. M. Bronstein, and E. Müller, “Spectral graph complexity,” in <i>Companion Proceedings of The 2019 World Wide Web Conference</i>, San Francisco, CA, United States, 2019, pp. 308–309.","apa":"Tsitsulin, A., Mottin, D., Karras, P., Bronstein, A. M., &#38; Müller, E. (2019). Spectral graph complexity. In <i>Companion Proceedings of The 2019 World Wide Web Conference</i> (pp. 308–309). San Francisco, CA, United States: ACM. <a href=\"https://doi.org/10.1145/3308560.3316589\">https://doi.org/10.1145/3308560.3316589</a>","ama":"Tsitsulin A, Mottin D, Karras P, Bronstein AM, Müller E. Spectral graph complexity. In: <i>Companion Proceedings of The 2019 World Wide Web Conference</i>. ACM; 2019:308-309. doi:<a href=\"https://doi.org/10.1145/3308560.3316589\">10.1145/3308560.3316589</a>","mla":"Tsitsulin, Anton, et al. “Spectral Graph Complexity.” <i>Companion Proceedings of The 2019 World Wide Web Conference</i>, ACM, 2019, pp. 308–09, doi:<a href=\"https://doi.org/10.1145/3308560.3316589\">10.1145/3308560.3316589</a>.","chicago":"Tsitsulin, Anton, Davide Mottin, Panagiotis Karras, Alex M. Bronstein, and Emmanuel Müller. “Spectral Graph Complexity.” In <i>Companion Proceedings of The 2019 World Wide Web Conference</i>, 308–9. ACM, 2019. <a href=\"https://doi.org/10.1145/3308560.3316589\">https://doi.org/10.1145/3308560.3316589</a>."},"extern":"1","year":"2019","external_id":{"arxiv":["2211.01434"]},"oa":1,"publication_identifier":{"isbn":["9781450366755"]},"title":"Spectral graph complexity","OA_place":"repository","OA_type":"green","date_updated":"2025-02-04T14:57:55Z","type":"conference","status":"public","date_published":"2019-05-13T00:00:00Z","doi":"10.1145/3308560.3316589","_id":"18261","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"05","fulldoi":"https://doi.org/10.1145/3308560.3316589","quality_controlled":"1","oa_version":"Preprint","article_processing_charge":"No","author":[{"first_name":"Anton","full_name":"Tsitsulin, Anton","last_name":"Tsitsulin"},{"first_name":"Davide","full_name":"Mottin, Davide","last_name":"Mottin"},{"full_name":"Karras, Panagiotis","first_name":"Panagiotis","last_name":"Karras"},{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","orcid":"0000-0001-9699-8730","last_name":"Bronstein","full_name":"Bronstein, Alexander","first_name":"Alexander"},{"last_name":"Müller","first_name":"Emmanuel","full_name":"Müller, Emmanuel"}],"page":"308 - 309","date_created":"2024-10-08T13:08:59Z","conference":{"name":"WWW: The Web Conference","end_date":"2019-05-17","location":"San Francisco, CA, United States","start_date":"2019-05-13"},"publisher":"ACM","day":"13","scopus_import":"1","publication":"Companion Proceedings of The 2019 World Wide Web Conference","publication_status":"published","language":[{"iso":"eng"}]},{"date_updated":"2025-01-14T14:34:56Z","type":"conference","status":"public","date_published":"2019-03-07T00:00:00Z","doi":"10.1109/wacv.2019.00092","_id":"18262","article_number":"8658791","oa":1,"publication_identifier":{"isbn":["9781728119762"]},"title":"DIMAL: Deep isometric manifold learning using sparse geodesic sampling","external_id":{"arxiv":["1711.06011"]},"abstract":[{"text":"This paper explores a fully unsupervised deep learning approach for computing distance-preserving maps that generate low-dimensional embeddings for a certain class of manifolds. We use the Siamese configuration to train a neural network to solve the problem of least squares multidimensional scaling for generating maps that approximately preserve geodesic distances. By training with only a few landmarks, we show a significantly improved local and nonlocal generalization of the isometric mapping as compared to analogous non-parametric counterparts. Importantly, the combination of a deep-learning framework with a multidimensional scaling objective enables a numerical analysis of network architectures to aid in understanding their representation power. This provides a geometric perspective to the generalizability of deep learning.","lang":"eng"}],"year":"2019","extern":"1","arxiv":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1711.06011","open_access":"1"}],"citation":{"ieee":"G. Pai, R. Talmon, A. M. Bronstein, and R. Kimmel, “DIMAL: Deep isometric manifold learning using sparse geodesic sampling,” in <i>2019 IEEE Winter Conference on Applications of Computer Vision (WACV)</i>, Waikoloa, HI, United States, 2019.","ista":"Pai G, Talmon R, Bronstein AM, Kimmel R. 2019. DIMAL: Deep isometric manifold learning using sparse geodesic sampling. 2019 IEEE Winter Conference on Applications of Computer Vision (WACV). 19th IEEE Winter Conference on Applications of Computer Vision, 8658791.","apa":"Pai, G., Talmon, R., Bronstein, A. M., &#38; Kimmel, R. (2019). DIMAL: Deep isometric manifold learning using sparse geodesic sampling. In <i>2019 IEEE Winter Conference on Applications of Computer Vision (WACV)</i>. Waikoloa, HI, United States: IEEE. <a href=\"https://doi.org/10.1109/wacv.2019.00092\">https://doi.org/10.1109/wacv.2019.00092</a>","short":"G. Pai, R. Talmon, A.M. Bronstein, R. Kimmel, in:, 2019 IEEE Winter Conference on Applications of Computer Vision (WACV), IEEE, 2019.","chicago":"Pai, Gautam, Ronen Talmon, Alex M. Bronstein, and Ron Kimmel. “DIMAL: Deep Isometric Manifold Learning Using Sparse Geodesic Sampling.” In <i>2019 IEEE Winter Conference on Applications of Computer Vision (WACV)</i>. IEEE, 2019. <a href=\"https://doi.org/10.1109/wacv.2019.00092\">https://doi.org/10.1109/wacv.2019.00092</a>.","mla":"Pai, Gautam, et al. “DIMAL: Deep Isometric Manifold Learning Using Sparse Geodesic Sampling.” <i>2019 IEEE Winter Conference on Applications of Computer Vision (WACV)</i>, 8658791, IEEE, 2019, doi:<a href=\"https://doi.org/10.1109/wacv.2019.00092\">10.1109/wacv.2019.00092</a>.","ama":"Pai G, Talmon R, Bronstein AM, Kimmel R. DIMAL: Deep isometric manifold learning using sparse geodesic sampling. In: <i>2019 IEEE Winter Conference on Applications of Computer Vision (WACV)</i>. IEEE; 2019. doi:<a href=\"https://doi.org/10.1109/wacv.2019.00092\">10.1109/wacv.2019.00092</a>"},"publication_status":"published","language":[{"iso":"eng"}],"publication":"2019 IEEE Winter Conference on Applications of Computer Vision (WACV)","scopus_import":"1","day":"07","publisher":"IEEE","conference":{"name":"19th IEEE Winter Conference on Applications of Computer Vision","end_date":"2019-01-11","location":"Waikoloa, HI, United States","start_date":"2019-01-07"},"date_created":"2024-10-08T13:09:16Z","author":[{"last_name":"Pai","full_name":"Pai, Gautam","first_name":"Gautam"},{"first_name":"Ronen","full_name":"Talmon, Ronen","last_name":"Talmon"},{"full_name":"Bronstein, Alexander","first_name":"Alexander","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein","orcid":"0000-0001-9699-8730"},{"first_name":"Ron","full_name":"Kimmel, Ron","last_name":"Kimmel"}],"month":"03","fulldoi":"https://doi.org/10.1109/wacv.2019.00092","quality_controlled":"1","oa_version":"Preprint","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"scopus_import":"1","publisher":"Wiley","day":"01","publication_status":"published","article_type":"original","language":[{"iso":"eng"}],"publication":"Computer Graphics Forum","fulldoi":"https://doi.org/10.1111/cgf.13598","month":"02","quality_controlled":"1","oa_version":"Preprint","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2024-10-08T13:09:33Z","page":"678-689","author":[{"last_name":"Rodolà","full_name":"Rodolà, E.","first_name":"E."},{"first_name":"Z.","full_name":"Lähner, Z.","last_name":"Lähner"},{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein","orcid":"0000-0001-9699-8730","full_name":"Bronstein, Alexander","first_name":"Alexander"},{"last_name":"Bronstein","first_name":"M. M.","full_name":"Bronstein, M. M."},{"last_name":"Solomon","first_name":"J.","full_name":"Solomon, J."}],"oa":1,"publication_identifier":{"issn":["0167-7055"],"eissn":["1467-8659"]},"title":"Functional maps representation on product manifolds","OA_place":"repository","OA_type":"green","external_id":{"arxiv":["1809.10940"]},"abstract":[{"lang":"eng","text":"We consider the tasks of representing, analysing and manipulating maps between shapes. We model maps as densities over the product manifold of the input shapes; these densities can be treated as scalar functions and therefore are manipulable using the language of signal processing on manifolds. Being a manifold itself, the product space endows the set of maps with a geometry of its own, which we exploit to define map operations in the spectral domain; we also derive relationships with other existing representations (soft maps and functional maps). To apply these ideas in practice, we discretize product manifolds and their Laplace–Beltrami operators, and we introduce localized spectral analysis of the product manifold as a novel tool for map processing. Our framework applies to maps defined between and across 2D and 3D shapes without requiring special adjustment, and it can be implemented efficiently with simple operations on sparse matrices."}],"date_updated":"2024-10-16T13:07:30Z","status":"public","type":"journal_article","date_published":"2019-02-01T00:00:00Z","doi":"10.1111/cgf.13598","_id":"18263","issue":"1","volume":38,"intvolume":"        38","extern":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1809.10940","open_access":"1"}],"arxiv":1,"citation":{"mla":"Rodolà, E., et al. “Functional Maps Representation on Product Manifolds.” <i>Computer Graphics Forum</i>, vol. 38, no. 1, Wiley, 2019, pp. 678–89, doi:<a href=\"https://doi.org/10.1111/cgf.13598\">10.1111/cgf.13598</a>.","ama":"Rodolà E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. Functional maps representation on product manifolds. <i>Computer Graphics Forum</i>. 2019;38(1):678-689. doi:<a href=\"https://doi.org/10.1111/cgf.13598\">10.1111/cgf.13598</a>","chicago":"Rodolà, E., Z. Lähner, Alex M. Bronstein, M. M. Bronstein, and J. Solomon. “Functional Maps Representation on Product Manifolds.” <i>Computer Graphics Forum</i>. Wiley, 2019. <a href=\"https://doi.org/10.1111/cgf.13598\">https://doi.org/10.1111/cgf.13598</a>.","short":"E. Rodolà, Z. Lähner, A.M. Bronstein, M.M. Bronstein, J. Solomon, Computer Graphics Forum 38 (2019) 678–689.","ieee":"E. Rodolà, Z. Lähner, A. M. Bronstein, M. M. Bronstein, and J. Solomon, “Functional maps representation on product manifolds,” <i>Computer Graphics Forum</i>, vol. 38, no. 1. Wiley, pp. 678–689, 2019.","ista":"Rodolà E, Lähner Z, Bronstein AM, Bronstein MM, Solomon J. 2019. Functional maps representation on product manifolds. Computer Graphics Forum. 38(1), 678–689.","apa":"Rodolà, E., Lähner, Z., Bronstein, A. M., Bronstein, M. M., &#38; Solomon, J. (2019). Functional maps representation on product manifolds. <i>Computer Graphics Forum</i>. Wiley. <a href=\"https://doi.org/10.1111/cgf.13598\">https://doi.org/10.1111/cgf.13598</a>"},"year":"2019"},{"citation":{"ieee":"E. Schwartz, R. Giryes, and A. M. Bronstein, “DeepISP: Toward learning an end-to-end image processing pipeline,” <i>IEEE Transactions on Image Processing</i>, vol. 28, no. 2. Institute of Electrical and Electronics Engineers, pp. 912–923, 2019.","ista":"Schwartz E, Giryes R, Bronstein AM. 2019. DeepISP: Toward learning an end-to-end image processing pipeline. IEEE Transactions on Image Processing. 28(2), 912–923.","apa":"Schwartz, E., Giryes, R., &#38; Bronstein, A. M. (2019). DeepISP: Toward learning an end-to-end image processing pipeline. <i>IEEE Transactions on Image Processing</i>. Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/tip.2018.2872858\">https://doi.org/10.1109/tip.2018.2872858</a>","short":"E. Schwartz, R. Giryes, A.M. Bronstein, IEEE Transactions on Image Processing 28 (2019) 912–923.","chicago":"Schwartz, Eli, Raja Giryes, and Alex M. Bronstein. “DeepISP: Toward Learning an End-to-End Image Processing Pipeline.” <i>IEEE Transactions on Image Processing</i>. Institute of Electrical and Electronics Engineers, 2019. <a href=\"https://doi.org/10.1109/tip.2018.2872858\">https://doi.org/10.1109/tip.2018.2872858</a>.","mla":"Schwartz, Eli, et al. “DeepISP: Toward Learning an End-to-End Image Processing Pipeline.” <i>IEEE Transactions on Image Processing</i>, vol. 28, no. 2, Institute of Electrical and Electronics Engineers, 2019, pp. 912–23, doi:<a href=\"https://doi.org/10.1109/tip.2018.2872858\">10.1109/tip.2018.2872858</a>.","ama":"Schwartz E, Giryes R, Bronstein AM. DeepISP: Toward learning an end-to-end image processing pipeline. <i>IEEE Transactions on Image Processing</i>. 2019;28(2):912-923. doi:<a href=\"https://doi.org/10.1109/tip.2018.2872858\">10.1109/tip.2018.2872858</a>"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1801.06724"}],"arxiv":1,"extern":"1","intvolume":"        28","year":"2019","abstract":[{"lang":"eng","text":"We present DeepISP, a full end-to-end deep neural model of the camera image signal processing pipeline. Our model learns a mapping from the raw low-light mosaiced image to the final visually compelling image and encompasses low-level tasks, such as demosaicing and denoising, as well as higher-level tasks, such as color correction and image adjustment. The training and evaluation of the pipeline were performed on a dedicated data set containing pairs of low-light and well-lit images captured by a Samsung S7 smartphone camera in both raw and processed JPEG formats. The proposed solution achieves the state-of-the-art performance in objective evaluation of peak signal-to-noise ratio on the subtask of joint denoising and demosaicing. For the full end-to-end pipeline, it achieves better visual quality compared to the manufacturer ISP, in both a subjective human assessment and when rated by a deep model trained for assessing image quality."}],"external_id":{"pmid":["30281451"],"arxiv":["1801.06724"]},"OA_type":"green","OA_place":"repository","publication_identifier":{"issn":["1057-7149","1941-0042"]},"title":"DeepISP: Toward learning an end-to-end image processing pipeline","oa":1,"volume":28,"issue":"2","_id":"18264","doi":"10.1109/tip.2018.2872858","date_published":"2019-02-01T00:00:00Z","status":"public","type":"journal_article","date_updated":"2024-10-16T13:03:28Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","oa_version":"Preprint","quality_controlled":"1","fulldoi":"https://doi.org/10.1109/tip.2018.2872858","month":"02","author":[{"last_name":"Schwartz","first_name":"Eli","full_name":"Schwartz, Eli"},{"full_name":"Giryes, Raja","first_name":"Raja","last_name":"Giryes"},{"first_name":"Alexander","full_name":"Bronstein, Alexander","last_name":"Bronstein","orcid":"0000-0001-9699-8730","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6"}],"date_created":"2024-10-08T13:09:51Z","page":"912-923","pmid":1,"publisher":"Institute of Electrical and Electronics Engineers","day":"01","scopus_import":"1","publication":"IEEE Transactions on Image Processing","language":[{"iso":"eng"}],"publication_status":"published","article_type":"original"},{"article_processing_charge":"No","extern":"1","oa_version":"Published Version","month":"01","fulldoi":"https://doi.org/10.2312/3DOR.20191069","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Dyke, R. M., et al. “Shape Correspondence with Isometric and Non-Isometric Deformations.” <i>Eurographics Workshop on 3D Object Retrieval</i>, The Eurographics Association, 2019, doi:<a href=\"https://doi.org/10.2312/3DOR.20191069\">10.2312/3DOR.20191069</a>.","ama":"Dyke RM, Stride C, Lai Y-K, et al. Shape correspondence with isometric and non-isometric deformations. In: <i>Eurographics Workshop on 3D Object Retrieval</i>. The Eurographics Association; 2019. doi:<a href=\"https://doi.org/10.2312/3DOR.20191069\">10.2312/3DOR.20191069</a>","chicago":"Dyke, R.M., C. Stride, Y.-K. Lai, P.L. Rosin, M. Aubry, A. Boyarski, Alex M. Bronstein, et al. “Shape Correspondence with Isometric and Non-Isometric Deformations.” In <i>Eurographics Workshop on 3D Object Retrieval</i>. The Eurographics Association, 2019. <a href=\"https://doi.org/10.2312/3DOR.20191069\">https://doi.org/10.2312/3DOR.20191069</a>.","short":"R.M. Dyke, C. Stride, Y.-K. Lai, P.L. Rosin, M. Aubry, A. Boyarski, A.M. Bronstein, M.M. Bronstein, D. Cremers, M. Fisher, T. Groueix, D. Guo, V.G. Kim, R. Kimmel, Z. Lähner, K. Li, O. Litany, T. Remez, E. Rodola, B.C. Russell, Y. Sahillioglu, R. Slossberg, G.K.L. Tam, M. Vestner, Z. Wu, J. Yang, in:, Eurographics Workshop on 3D Object Retrieval, The Eurographics Association, 2019.","ista":"Dyke RM, Stride C, Lai Y-K, Rosin PL, Aubry M, Boyarski A, Bronstein AM, Bronstein MM, Cremers D, Fisher M, Groueix T, Guo D, Kim VG, Kimmel R, Lähner Z, Li K, Litany O, Remez T, Rodola E, Russell BC, Sahillioglu Y, Slossberg R, Tam GKL, Vestner M, Wu Z, Yang J. 2019. Shape correspondence with isometric and non-isometric deformations. Eurographics Workshop on 3D Object Retrieval. .","ieee":"R. M. Dyke <i>et al.</i>, “Shape correspondence with isometric and non-isometric deformations,” in <i>Eurographics Workshop on 3D Object Retrieval</i>, 2019.","apa":"Dyke, R. M., Stride, C., Lai, Y.-K., Rosin, P. L., Aubry, M., Boyarski, A., … Yang, J. (2019). Shape correspondence with isometric and non-isometric deformations. In <i>Eurographics Workshop on 3D Object Retrieval</i>. The Eurographics Association. <a href=\"https://doi.org/10.2312/3DOR.20191069\">https://doi.org/10.2312/3DOR.20191069</a>"},"main_file_link":[{"url":"https://doi.org/10.2312/3DOR.20191069","open_access":"1"}],"date_created":"2024-10-09T07:40:27Z","year":"2019","author":[{"last_name":"Dyke","first_name":"R.M.","full_name":"Dyke, R.M."},{"full_name":"Stride, C.","first_name":"C.","last_name":"Stride"},{"first_name":"Y.-K.","full_name":"Lai, Y.-K.","last_name":"Lai"},{"full_name":"Rosin, P.L.","first_name":"P.L.","last_name":"Rosin"},{"last_name":"Aubry","full_name":"Aubry, M.","first_name":"M."},{"last_name":"Boyarski","first_name":"A.","full_name":"Boyarski, A."},{"orcid":"0000-0001-9699-8730","last_name":"Bronstein","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","full_name":"Bronstein, Alexander","first_name":"Alexander"},{"last_name":"Bronstein","full_name":"Bronstein, M.M.","first_name":"M.M."},{"last_name":"Cremers","first_name":"D.","full_name":"Cremers, D."},{"last_name":"Fisher","full_name":"Fisher, M.","first_name":"M."},{"last_name":"Groueix","first_name":"T.","full_name":"Groueix, T."},{"first_name":"D.","full_name":"Guo, D.","last_name":"Guo"},{"last_name":"Kim","full_name":"Kim, V.G.","first_name":"V.G."},{"first_name":"R.","full_name":"Kimmel, R.","last_name":"Kimmel"},{"full_name":"Lähner, Z.","first_name":"Z.","last_name":"Lähner"},{"full_name":"Li, K.","first_name":"K.","last_name":"Li"},{"last_name":"Litany","first_name":"O.","full_name":"Litany, O."},{"last_name":"Remez","full_name":"Remez, T.","first_name":"T."},{"last_name":"Rodola","full_name":"Rodola, E.","first_name":"E."},{"first_name":"B.C.","full_name":"Russell, B.C.","last_name":"Russell"},{"first_name":"Y.","full_name":"Sahillioglu, Y.","last_name":"Sahillioglu"},{"full_name":"Slossberg, R.","first_name":"R.","last_name":"Slossberg"},{"first_name":"G.K.L.","full_name":"Tam, G.K.L.","last_name":"Tam"},{"full_name":"Vestner, M.","first_name":"M.","last_name":"Vestner"},{"last_name":"Wu","full_name":"Wu, Z.","first_name":"Z."},{"last_name":"Yang","full_name":"Yang, J.","first_name":"J."}],"OA_place":"repository","OA_type":"free access","publication_identifier":{"eissn":["1997-0471"]},"title":"Shape correspondence with isometric and non-isometric deformations","oa":1,"abstract":[{"lang":"eng","text":"The registration of surfaces with non-rigid deformation, especially non-isometric deformations, is a challenging problem. When applying such techniques to real scans, the problem is compounded by topological and geometric inconsistencies between shapes. In this paper, we capture a benchmark dataset of scanned 3D shapes undergoing various controlled deformations (articulating, bending, stretching and topologically changing), along with ground truth correspondences. With the aid of this tiered benchmark of increasingly challenging real scans, we explore this problem and investigate how robust current state-of- the-art methods perform in different challenging registration and correspondence scenarios. We discover that changes in topology is a challenging problem for some methods and that machine learning-based approaches prove to be more capable of handling non-isometric deformations on shapes that are moderately similar to the training set."}],"day":"01","publisher":"The Eurographics Association","_id":"18268","language":[{"iso":"eng"}],"publication_status":"published","doi":"10.2312/3DOR.20191069","date_published":"2019-01-01T00:00:00Z","type":"conference","status":"public","date_updated":"2025-02-03T09:44:33Z","publication":"Eurographics Workshop on 3D Object Retrieval"},{"publication":"First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019","volume":11795,"publication_status":"published","doi":"10.1007/978-3-030-33391-1_13","date_published":"2019-10-12T00:00:00Z","_id":"18269","language":[{"iso":"eng"}],"date_updated":"2025-01-23T14:50:36Z","status":"public","type":"conference","publisher":"Springer International Publishing","conference":{"end_date":"2019-10-17","start_date":"2019-10-13","location":"Shenzhen, China","name":"DART: MICCAI Workshop on Domain Adaptation and Representation Transfer and MIL3ID: International Workshop on Medical Image Learning with Less Labels and Imperfect Data"},"day":"12","abstract":[{"lang":"eng","text":"In the past few years, deep learning-based methods have demonstrated enormous success for solving inverse problems in medical imaging. In this work, we address the following question: Given a set of measurements obtained from real imaging experiments, what is the best way to use a learnable model and the physics of the modality to solve the inverse problem and reconstruct the latent image? Standard supervised learning based methods approach this problem by collecting data sets of known latent images and their corresponding measurements. However, these methods are often impractical due to the lack of availability of appropriately sized training sets, and, more generally, due to the inherent difficulty in measuring the “groundtruth” latent image. In light of this, we propose a self-supervised approach to training inverse models in medical imaging in the absence of aligned data. Our method only requiring access to the measurements and the forward model at training. We showcase its effectiveness on inverse problems arising in accelerated magnetic resonance imaging (MRI). "}],"publication_identifier":{"eisbn":["9783030333911"],"issn":["0302-9743"],"isbn":["9783030333904"],"eissn":["1611-3349"]},"title":"Self-supervised learning of inverse problem solvers in medical imaging","scopus_import":"1","year":"2019","author":[{"last_name":"Senouf","full_name":"Senouf, Ortal","first_name":"Ortal"},{"first_name":"Sanketh","full_name":"Vedula, Sanketh","last_name":"Vedula"},{"first_name":"Tomer","full_name":"Weiss, Tomer","last_name":"Weiss"},{"full_name":"Bronstein, Alexander","first_name":"Alexander","orcid":"0000-0001-9699-8730","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein"},{"last_name":"Michailovich","first_name":"Oleg","full_name":"Michailovich, Oleg"},{"last_name":"Zibulevsky","first_name":"Michael","full_name":"Zibulevsky, Michael"}],"date_created":"2024-10-09T07:41:33Z","page":"111 - 119","citation":{"chicago":"Senouf, Ortal, Sanketh Vedula, Tomer Weiss, Alex M. Bronstein, Oleg Michailovich, and Michael Zibulevsky. “Self-Supervised Learning of Inverse Problem Solvers in Medical Imaging.” In <i>First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019</i>, 11795:111–19. Springer International Publishing, 2019. <a href=\"https://doi.org/10.1007/978-3-030-33391-1_13\">https://doi.org/10.1007/978-3-030-33391-1_13</a>.","mla":"Senouf, Ortal, et al. “Self-Supervised Learning of Inverse Problem Solvers in Medical Imaging.” <i>First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019</i>, vol. 11795, Springer International Publishing, 2019, pp. 111–19, doi:<a href=\"https://doi.org/10.1007/978-3-030-33391-1_13\">10.1007/978-3-030-33391-1_13</a>.","ama":"Senouf O, Vedula S, Weiss T, Bronstein AM, Michailovich O, Zibulevsky M. Self-supervised learning of inverse problem solvers in medical imaging. In: <i>First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019</i>. Vol 11795. Springer International Publishing; 2019:111-119. doi:<a href=\"https://doi.org/10.1007/978-3-030-33391-1_13\">10.1007/978-3-030-33391-1_13</a>","apa":"Senouf, O., Vedula, S., Weiss, T., Bronstein, A. M., Michailovich, O., &#38; Zibulevsky, M. (2019). Self-supervised learning of inverse problem solvers in medical imaging. In <i>First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019</i> (Vol. 11795, pp. 111–119). Shenzhen, China: Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-030-33391-1_13\">https://doi.org/10.1007/978-3-030-33391-1_13</a>","ista":"Senouf O, Vedula S, Weiss T, Bronstein AM, Michailovich O, Zibulevsky M. 2019. Self-supervised learning of inverse problem solvers in medical imaging. First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019. DART: MICCAI Workshop on Domain Adaptation and Representation Transfer and MIL3ID: International Workshop on Medical Image Learning with Less Labels and Imperfect Data vol. 11795, 111–119.","ieee":"O. Senouf, S. Vedula, T. Weiss, A. M. Bronstein, O. Michailovich, and M. Zibulevsky, “Self-supervised learning of inverse problem solvers in medical imaging,” in <i>First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019</i>, Shenzhen, China, 2019, vol. 11795, pp. 111–119.","short":"O. Senouf, S. Vedula, T. Weiss, A.M. Bronstein, O. Michailovich, M. Zibulevsky, in:, First MICCAI Workshop, DART 2019, and First International Workshop, MIL3ID 2019, Springer International Publishing, 2019, pp. 111–119."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"None","extern":"1","article_processing_charge":"No","month":"10","fulldoi":"https://doi.org/10.1007/978-3-030-33391-1_13","quality_controlled":"1","intvolume":"     11795"},{"year":"2019","citation":{"apa":"Killip, R., Vişan, M., &#38; Zhang, X. (2019). Symplectic non-squeezing for the cubic NLS on the line. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnx152\">https://doi.org/10.1093/imrn/rnx152</a>","ieee":"R. Killip, M. Vişan, and X. Zhang, “Symplectic non-squeezing for the cubic NLS on the line,” <i>International Mathematics Research Notices</i>, vol. 2019, no. 5. Oxford University Press, pp. 1312–1332, 2019.","ista":"Killip R, Vişan M, Zhang X. 2019. Symplectic non-squeezing for the cubic NLS on the line. International Mathematics Research Notices. 2019(5), 1312–1332.","short":"R. Killip, M. Vişan, X. Zhang, International Mathematics Research Notices 2019 (2019) 1312–1332.","chicago":"Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Symplectic Non-Squeezing for the Cubic NLS on the Line.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2019. <a href=\"https://doi.org/10.1093/imrn/rnx152\">https://doi.org/10.1093/imrn/rnx152</a>.","mla":"Killip, Rowan, et al. “Symplectic Non-Squeezing for the Cubic NLS on the Line.” <i>International Mathematics Research Notices</i>, vol. 2019, no. 5, Oxford University Press, 2019, pp. 1312–32, doi:<a href=\"https://doi.org/10.1093/imrn/rnx152\">10.1093/imrn/rnx152</a>.","ama":"Killip R, Vişan M, Zhang X. Symplectic non-squeezing for the cubic NLS on the line. <i>International Mathematics Research Notices</i>. 2019;2019(5):1312-1332. doi:<a href=\"https://doi.org/10.1093/imrn/rnx152\">10.1093/imrn/rnx152</a>"},"arxiv":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1606.09467"}],"extern":"1","das_tickbox":"1","intvolume":"      2019","volume":2019,"issue":"5","date_published":"2019-03-01T00:00:00Z","doi":"10.1093/imrn/rnx152","_id":"22048","date_updated":"2026-06-25T08:08:21Z","status":"public","type":"journal_article","external_id":{"arxiv":["1606.09467"]},"abstract":[{"lang":"eng","text":"We prove symplectic non-squeezing for the cubic nonlinear Schrödinger equation on the line via finite-dimensional approximation."}],"OA_place":"repository","OA_type":"green","oa":1,"publication_identifier":{"eissn":["1687-0247"],"issn":["1073-7928"]},"title":"Symplectic non-squeezing for the cubic NLS on the line","author":[{"first_name":"Rowan","full_name":"Killip, Rowan","last_name":"Killip"},{"first_name":"Monica","full_name":"Visan, Monica","last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"},{"last_name":"Zhang","first_name":"Xiaoyi","full_name":"Zhang, Xiaoyi"}],"page":"1312-1332","date_created":"2026-06-19T07:50:08Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","article_processing_charge":"No","quality_controlled":"1","fulldoi":"https://doi.org/10.1093/imrn/rnx152","month":"03","publication":"International Mathematics Research Notices","publication_status":"published","article_type":"original","language":[{"iso":"eng"}],"day":"01","publisher":"Oxford University Press","scopus_import":"1"},{"scopus_import":"1","publisher":"Informa UK Limited","day":"15","publication_status":"published","article_type":"original","language":[{"iso":"eng"}],"publication":"Communications in Partial Differential Equations","oa_version":"Preprint","article_processing_charge":"No","month":"02","fulldoi":"https://doi.org/10.1080/03605302.2018.1541904","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","mathsc":["35Q55"],"page":"51-71","date_created":"2026-06-19T08:13:26Z","author":[{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"last_name":"Murphy","first_name":"Jason","full_name":"Murphy, Jason"},{"last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","first_name":"Monica"}],"OA_place":"repository","OA_type":"green","oa":1,"title":"Almost sure scattering for the energy-critical NLS with radial data below H1(R4)","publication_identifier":{"issn":["0360-5302"],"eissn":["1532-4133"]},"external_id":{"arxiv":["1707.09051"]},"abstract":[{"lang":"eng","text":"We prove almost sure global existence and scattering for the energy-critical nonlinear Schrödinger equation with randomized spherically symmetric initial data in 𝐻𝑠⁡(ℝ4) with \r\n5/6<𝑠<1. We were inspired to consider this problem by the recent work of Dodson–Lührmann–Mendelson, which treated the analogous problem for the energy-critical wave equation."}],"doi":"10.1080/03605302.2018.1541904","date_published":"2019-02-15T00:00:00Z","_id":"22066","date_updated":"2026-06-30T07:16:06Z","status":"public","type":"journal_article","volume":44,"issue":"1","extern":"1","das_tickbox":"1","intvolume":"        44","citation":{"mla":"Killip, Rowan, et al. “Almost Sure Scattering for the Energy-Critical NLS with Radial Data below H1(R4).” <i>Communications in Partial Differential Equations</i>, vol. 44, no. 1, Informa UK Limited, 2019, pp. 51–71, doi:<a href=\"https://doi.org/10.1080/03605302.2018.1541904\">10.1080/03605302.2018.1541904</a>.","ama":"Killip R, Murphy J, Vişan M. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). <i>Communications in Partial Differential Equations</i>. 2019;44(1):51-71. doi:<a href=\"https://doi.org/10.1080/03605302.2018.1541904\">10.1080/03605302.2018.1541904</a>","chicago":"Killip, Rowan, Jason Murphy, and Monica Vişan. “Almost Sure Scattering for the Energy-Critical NLS with Radial Data below H1(R4).” <i>Communications in Partial Differential Equations</i>. Informa UK Limited, 2019. <a href=\"https://doi.org/10.1080/03605302.2018.1541904\">https://doi.org/10.1080/03605302.2018.1541904</a>.","short":"R. Killip, J. Murphy, M. Vişan, Communications in Partial Differential Equations 44 (2019) 51–71.","ieee":"R. Killip, J. Murphy, and M. Vişan, “Almost sure scattering for the energy-critical NLS with radial data below H1(R4),” <i>Communications in Partial Differential Equations</i>, vol. 44, no. 1. Informa UK Limited, pp. 51–71, 2019.","ista":"Killip R, Murphy J, Vişan M. 2019. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). Communications in Partial Differential Equations. 44(1), 51–71.","apa":"Killip, R., Murphy, J., &#38; Vişan, M. (2019). Almost sure scattering for the energy-critical NLS with radial data below H1(R4). <i>Communications in Partial Differential Equations</i>. Informa UK Limited. <a href=\"https://doi.org/10.1080/03605302.2018.1541904\">https://doi.org/10.1080/03605302.2018.1541904</a>"},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1707.09051","open_access":"1"}],"arxiv":1,"year":"2019"},{"fulldoi":"https://doi.org/10.4171/rmi/1067","quality_controlled":"1","month":"03","oa_version":"Preprint","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2026-06-19T08:25:23Z","page":"703-730","author":[{"first_name":"Casey","full_name":"Jao, Casey","last_name":"Jao"},{"last_name":"Killip","full_name":"Killip, Rowan","first_name":"Rowan"},{"first_name":"Monica","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","last_name":"Visan"}],"scopus_import":"1","day":"01","publisher":"European Mathematical Society Press","publication_status":"published","article_type":"original","language":[{"iso":"eng"}],"publication":"Revista Matemática Iberoamericana","das_tickbox":"1","intvolume":"        35","extern":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1509.03592"}],"arxiv":1,"citation":{"chicago":"Jao, Casey, Rowan Killip, and Monica Vişan. “Mass-Critical Inverse Strichartz Theorems for 1d Schrödinger Operators.” <i>Revista Matemática Iberoamericana</i>. European Mathematical Society Press, 2019. <a href=\"https://doi.org/10.4171/rmi/1067\">https://doi.org/10.4171/rmi/1067</a>.","ama":"Jao C, Killip R, Vişan M. Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. <i>Revista Matemática Iberoamericana</i>. 2019;35(3):703-730. doi:<a href=\"https://doi.org/10.4171/rmi/1067\">10.4171/rmi/1067</a>","mla":"Jao, Casey, et al. “Mass-Critical Inverse Strichartz Theorems for 1d Schrödinger Operators.” <i>Revista Matemática Iberoamericana</i>, vol. 35, no. 3, European Mathematical Society Press, 2019, pp. 703–30, doi:<a href=\"https://doi.org/10.4171/rmi/1067\">10.4171/rmi/1067</a>.","ista":"Jao C, Killip R, Vişan M. 2019. Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. Revista Matemática Iberoamericana. 35(3), 703–730.","ieee":"C. Jao, R. Killip, and M. Vişan, “Mass-critical inverse Strichartz theorems for 1d Schrödinger operators,” <i>Revista Matemática Iberoamericana</i>, vol. 35, no. 3. European Mathematical Society Press, pp. 703–730, 2019.","apa":"Jao, C., Killip, R., &#38; Vişan, M. (2019). Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. <i>Revista Matemática Iberoamericana</i>. European Mathematical Society Press. <a href=\"https://doi.org/10.4171/rmi/1067\">https://doi.org/10.4171/rmi/1067</a>","short":"C. Jao, R. Killip, M. Vişan, Revista Matemática Iberoamericana 35 (2019) 703–730."},"year":"2019","oa":1,"title":"Mass-critical inverse Strichartz theorems for 1d Schrödinger operators","publication_identifier":{"issn":["0213-2230"],"eissn":["2235-0616"]},"OA_type":"green","OA_place":"repository","external_id":{"arxiv":["1509.03592"]},"abstract":[{"text":"We prove inverse Strichartz theorems at L^2 regularity for a family of Schrödinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are limited to the translation-invariant equation i∂ t​ u=−1/2 Δu. Motivated by applications to the mass-critical Schrödinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.","lang":"eng"}],"date_updated":"2026-06-30T11:32:27Z","type":"journal_article","status":"public","doi":"10.4171/rmi/1067","date_published":"2019-03-01T00:00:00Z","_id":"22077","issue":"3","volume":35},{"issue":"3","volume":9,"date_updated":"2026-07-06T11:54:18Z","status":"public","type":"journal_article","doi":"10.4171/jst/267","date_published":"2019-03-01T00:00:00Z","_id":"10879","external_id":{"arxiv":["1701.02956"],"isi":["000484709400006"]},"abstract":[{"text":"We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.","lang":"eng"}],"oa":1,"title":"Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function","publication_identifier":{"issn":["1664-039X"]},"year":"2019","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1701.02956"}],"arxiv":1,"citation":{"short":"A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.","ieee":"A. M. Dietlein, M. Gebert, and P. Müller, “Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function,” <i>Journal of Spectral Theory</i>, vol. 9, no. 3. EMS Press, pp. 921–965, 2019.","ista":"Dietlein AM, Gebert M, Müller P. 2019. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 9(3), 921–965.","apa":"Dietlein, A. M., Gebert, M., &#38; Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>","ama":"Dietlein AM, Gebert M, Müller P. 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EMS Press, 2019. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>."},"das_tickbox":"1","intvolume":"         9","publication":"Journal of Spectral Theory","article_type":"original","publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"LaEr"}],"day":"01","publisher":"EMS Press","scopus_import":"1","isi":1,"acknowledgement":"M.G. was supported by the DFG under grant GE 2871/1-1.","author":[{"first_name":"Adrian M","full_name":"Dietlein, Adrian M","last_name":"Dietlein","id":"317CB464-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Gebert","first_name":"Martin","full_name":"Gebert, Martin"},{"last_name":"Müller","first_name":"Peter","full_name":"Müller, Peter"}],"date_created":"2022-03-18T12:36:42Z","page":"921-965","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.4171/jst/267","month":"03","quality_controlled":"1","oa_version":"Preprint","article_processing_charge":"No","keyword":["Random Schrödinger operators","spectral shift function","Anderson orthogonality"]},{"month":"10","fulldoi":"https://doi.org/10.4171/JEMS/896","quality_controlled":"1","oa_version":"Preprint","article_processing_charge":"No","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"2995-3052","date_created":"2018-12-11T11:46:29Z","author":[{"full_name":"Hausel, Tamas","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","last_name":"Hausel","orcid":"0000-0002-9582-2634"},{"first_name":"Martin","full_name":"Mereb, Martin","id":"43D735EE-F248-11E8-B48F-1D18A9856A87","last_name":"Mereb"},{"last_name":"Wong","full_name":"Wong, Michael","first_name":"Michael"}],"scopus_import":"1","project":[{"grant_number":"320593","call_identifier":"FP7","_id":"25E549F4-B435-11E9-9278-68D0E5697425","name":"Arithmetic and physics of Higgs moduli spaces"}],"isi":1,"publisher":"EMS Press","day":"01","department":[{"_id":"TaHa"}],"article_type":"original","publication_status":"published","language":[{"iso":"eng"}],"publication":"Journal of the European Mathematical Society","das_tickbox":"1","ec_funded":1,"intvolume":"        21","arxiv":1,"main_file_link":[{"url":"https://arxiv.org/abs/1604.03382","open_access":"1"}],"citation":{"mla":"Hausel, Tamás, et al. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10, EMS Press, 2019, pp. 2995–3052, doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>.","ama":"Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. 2019;21(10):2995-3052. doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>","chicago":"Hausel, Tamás, Martin Mereb, and Michael Wong. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>. EMS Press, 2019. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>.","short":"T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.","apa":"Hausel, T., Mereb, M., &#38; Wong, M. (2019). Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. EMS Press. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>","ista":"Hausel T, Mereb M, Wong M. 2019. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 21(10), 2995–3052.","ieee":"T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of wild character varieties,” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10. EMS Press, pp. 2995–3052, 2019."},"year":"2019","oa":1,"title":"Arithmetic and representation theory of wild character varieties","publication_identifier":{"eissn":["1435-9855"]},"publist_id":"7384","external_id":{"arxiv":["1604.03382"],"isi":["000480413600002"]},"abstract":[{"text":"We count points over a finite field on wild character varieties,of Riemann surfaces for singularities with regular semisimple leading term. The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the\r\npossibility of a P = W conjecture for a suitable wild Hitchin system.","lang":"eng"}],"date_updated":"2026-07-06T11:54:39Z","status":"public","type":"journal_article","date_published":"2019-10-01T00:00:00Z","doi":"10.4171/JEMS/896","_id":"439","issue":"10","volume":21},{"doi":"10.1021/acs.nanolett.9b04445.s001","date_published":"2019-12-19T00:00:00Z","_id":"9726","date_updated":"2026-07-06T12:13:40Z","related_material":{"record":[{"relation":"used_in_publication","id":"7166","status":"public"}]},"type":"research_data_reference","status":"public","department":[{"_id":"EdHa"}],"publisher":"American Chemical Society","day":"19","abstract":[{"text":"A detailed description of the two stochastic models, table of parameters, supplementary data for Figures 4 and 5, parameter dependence of the results, and an analysis on motors with different force–velocity functions (PDF)","lang":"eng"}],"title":"Supplementary information - Collective force generation by molecular motors is determined by strain-induced unbinding","year":"2019","author":[{"full_name":"Ucar, Mehmet C","first_name":"Mehmet C","id":"50B2A802-6007-11E9-A42B-EB23E6697425","last_name":"Ucar","orcid":"0000-0003-0506-4217"},{"last_name":"Lipowsky","full_name":"Lipowsky, Reinhard","first_name":"Reinhard"}],"date_created":"2021-07-27T09:51:46Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"M. 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Lipowsky, (2019).","chicago":"Ucar, Mehmet C, and Reinhard Lipowsky. “Supplementary Information - Collective Force Generation by Molecular Motors Is Determined by Strain-Induced Unbinding.” American Chemical Society, 2019. <a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s001\">https://doi.org/10.1021/acs.nanolett.9b04445.s001</a>.","mla":"Ucar, Mehmet C., and Reinhard Lipowsky. <i>Supplementary Information - Collective Force Generation by Molecular Motors Is Determined by Strain-Induced Unbinding</i>. American Chemical Society, 2019, doi:<a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s001\">10.1021/acs.nanolett.9b04445.s001</a>.","ama":"Ucar MC, Lipowsky R. 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Li, Proceedings of the American Mathematical Society 147 (2019) 4597–4604.","apa":"Li, P. (2019). A colimit of traces of reflection groups. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/14586\">https://doi.org/10.1090/proc/14586</a>","ieee":"P. Li, “A colimit of traces of reflection groups,” <i>Proceedings of the American Mathematical Society</i>, vol. 147, no. 11. American Mathematical Society, pp. 4597–4604, 2019.","ista":"Li P. 2019. A colimit of traces of reflection groups. Proceedings of the American Mathematical Society. 147(11), 4597–4604.","mla":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings of the American Mathematical Society</i>, vol. 147, no. 11, American Mathematical Society, 2019, pp. 4597–604, doi:<a href=\"https://doi.org/10.1090/proc/14586\">10.1090/proc/14586</a>.","ama":"Li P. A colimit of traces of reflection groups. <i>Proceedings of the American Mathematical Society</i>. 2019;147(11):4597-4604. doi:<a href=\"https://doi.org/10.1090/proc/14586\">10.1090/proc/14586</a>","chicago":"Li, Penghui. “A Colimit of Traces of Reflection Groups.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.1090/proc/14586\">https://doi.org/10.1090/proc/14586</a>."},"year":"2019","title":"A colimit of traces of reflection groups","publication_identifier":{"eissn":["1088-6826"],"issn":["0002-9939"]},"oa":1,"abstract":[{"text":"Li-Nadler proposed a conjecture about traces of Hecke categories, which implies the semistable part of the Betti geometric Langlands conjecture of Ben-Zvi-Nadler in genus 1. We prove a Weyl group analogue of this conjecture. Our theorem holds in the natural generality of reflection groups in Euclidean or hyperbolic space. As a corollary, we give an expression of the centralizer of a finite order element in a reflection group using homotopy theory. ","lang":"eng"}],"external_id":{"isi":["000488621700004"],"arxiv":["1810.07039"]},"status":"public","type":"journal_article","date_updated":"2026-07-06T12:24:07Z","_id":"6986","date_published":"2019-11-01T00:00:00Z","doi":"10.1090/proc/14586","issue":"11","volume":147},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1709.02562"}],"arxiv":1,"citation":{"ama":"Akopyan A, Fedorov R. Two circles and only a straightedge. <i>Proceedings of the American Mathematical Society</i>. 2019;147:91-102. doi:<a href=\"https://doi.org/10.1090/proc/14240\">10.1090/proc/14240</a>","mla":"Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” <i>Proceedings of the American Mathematical Society</i>, vol. 147, American Mathematical Society, 2019, pp. 91–102, doi:<a href=\"https://doi.org/10.1090/proc/14240\">10.1090/proc/14240</a>.","chicago":"Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2019. <a href=\"https://doi.org/10.1090/proc/14240\">https://doi.org/10.1090/proc/14240</a>.","short":"A. Akopyan, R. Fedorov, Proceedings of the American Mathematical Society 147 (2019) 91–102.","ieee":"A. Akopyan and R. Fedorov, “Two circles and only a straightedge,” <i>Proceedings of the American Mathematical Society</i>, vol. 147. American Mathematical Society, pp. 91–102, 2019.","ista":"Akopyan A, Fedorov R. 2019. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 147, 91–102.","apa":"Akopyan, A., &#38; Fedorov, R. (2019). Two circles and only a straightedge. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/proc/14240\">https://doi.org/10.1090/proc/14240</a>"},"das_tickbox":"1","intvolume":"       147","year":"2019","external_id":{"isi":["000450363900008"],"arxiv":["1709.02562"]},"abstract":[{"text":"We answer a question of David Hilbert: given two circles it is not possible in general to construct their centers using only a straightedge. On the other hand, we give infinitely many families of pairs of circles for which such construction is possible. ","lang":"eng"}],"oa":1,"title":"Two circles and only a straightedge","volume":147,"date_updated":"2026-07-06T12:23:38Z","status":"public","type":"journal_article","doi":"10.1090/proc/14240","date_published":"2019-01-01T00:00:00Z","_id":"6050","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.1090/proc/14240","quality_controlled":"1","month":"01","oa_version":"Preprint","article_processing_charge":"No","author":[{"last_name":"Akopyan","orcid":"0000-0002-2548-617X","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","first_name":"Arseniy","full_name":"Akopyan, Arseniy"},{"last_name":"Fedorov","first_name":"Roman","full_name":"Fedorov, Roman"}],"page":"91-102","date_created":"2019-02-24T22:59:19Z","day":"01","department":[{"_id":"HeEd"}],"publisher":"American Mathematical Society","scopus_import":"1","isi":1,"publication":"Proceedings of the American Mathematical Society","publication_status":"published","language":[{"iso":"eng"}]},{"file":[{"creator":"dernst","content_type":"application/pdf","relation":"main_file","file_size":1766820,"checksum":"7841301d7c53b56ef873791b4b6f7b24","file_name":"2019_frontiers_Lindner.pdf","file_id":"6039","date_updated":"2020-07-14T12:47:17Z","access_level":"open_access","date_created":"2019-02-18T15:10:34Z"}],"das_tickbox":"1","intvolume":"         6","citation":{"ama":"Lindner M, Tresztenyak A, Fülöp G, et al. A fast and simple contact printing approach to generate 2D protein nanopatterns. <i>Frontiers in Chemistry</i>. 2019;6. doi:<a href=\"https://doi.org/10.3389/fchem.2018.00655\">10.3389/fchem.2018.00655</a>","mla":"Lindner, Marco, et al. “A Fast and Simple Contact Printing Approach to Generate 2D Protein Nanopatterns.” <i>Frontiers in Chemistry</i>, vol. 6, 655, Frontiers Media, 2019, doi:<a href=\"https://doi.org/10.3389/fchem.2018.00655\">10.3389/fchem.2018.00655</a>.","chicago":"Lindner, Marco, Aliz Tresztenyak, Gergö Fülöp, Wiebke Jahr, Adrian Prinz, Iris Prinz, Johann G Danzl, Gerhard J. Schütz, and Eva Sevcsik. “A Fast and Simple Contact Printing Approach to Generate 2D Protein Nanopatterns.” <i>Frontiers in Chemistry</i>. Frontiers Media, 2019. <a href=\"https://doi.org/10.3389/fchem.2018.00655\">https://doi.org/10.3389/fchem.2018.00655</a>.","short":"M. Lindner, A. Tresztenyak, G. Fülöp, W. Jahr, A. Prinz, I. Prinz, J.G. Danzl, G.J. Schütz, E. Sevcsik, Frontiers in Chemistry 6 (2019).","apa":"Lindner, M., Tresztenyak, A., Fülöp, G., Jahr, W., Prinz, A., Prinz, I., … Sevcsik, E. (2019). A fast and simple contact printing approach to generate 2D protein nanopatterns. <i>Frontiers in Chemistry</i>. Frontiers Media. <a href=\"https://doi.org/10.3389/fchem.2018.00655\">https://doi.org/10.3389/fchem.2018.00655</a>","ista":"Lindner M, Tresztenyak A, Fülöp G, Jahr W, Prinz A, Prinz I, Danzl JG, Schütz GJ, Sevcsik E. 2019. A fast and simple contact printing approach to generate 2D protein nanopatterns. Frontiers in Chemistry. 6, 655.","ieee":"M. Lindner <i>et al.</i>, “A fast and simple contact printing approach to generate 2D protein nanopatterns,” <i>Frontiers in Chemistry</i>, vol. 6. Frontiers Media, 2019."},"year":"2019","oa":1,"publication_identifier":{"eissn":["2296-2646"]},"file_date_updated":"2020-07-14T12:47:17Z","title":"A fast and simple contact printing approach to generate 2D protein nanopatterns","external_id":{"isi":["000456718000001"]},"abstract":[{"lang":"eng","text":"Protein micropatterning has become an important tool for many biomedical applications as well as in academic research. Current techniques that allow to reduce the feature size of patterns below 1 μm are, however, often costly and require sophisticated equipment. We present here a straightforward and convenient method to generate highly condensed nanopatterns of proteins without the need for clean room facilities or expensive equipment. Our approach is based on nanocontact printing and allows for the fabrication of protein patterns with feature sizes of 80 nm and periodicities down to 140 nm. This was made possible by the use of the material X-poly(dimethylsiloxane) (X-PDMS) in a two-layer stamp layout for protein printing. In a proof of principle, different proteins at various scales were printed and the pattern quality was evaluated by atomic force microscopy (AFM) and super-resolution fluorescence microscopy."}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_published":"2019-01-24T00:00:00Z","doi":"10.3389/fchem.2018.00655","_id":"6029","date_updated":"2026-07-06T13:03:56Z","type":"journal_article","status":"public","volume":6,"article_number":"655","oa_version":"Published Version","article_processing_charge":"No","fulldoi":"https://doi.org/10.3389/fchem.2018.00655","month":"01","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2019-02-17T22:59:24Z","author":[{"last_name":"Lindner","full_name":"Lindner, Marco","first_name":"Marco"},{"last_name":"Tresztenyak","full_name":"Tresztenyak, Aliz","first_name":"Aliz"},{"last_name":"Fülöp","full_name":"Fülöp, Gergö","first_name":"Gergö"},{"orcid":"0000-0003-0201-2315","id":"425C1CE8-F248-11E8-B48F-1D18A9856A87","last_name":"Jahr","full_name":"Jahr, Wiebke","first_name":"Wiebke"},{"full_name":"Prinz, Adrian","first_name":"Adrian","last_name":"Prinz"},{"last_name":"Prinz","first_name":"Iris","full_name":"Prinz, Iris"},{"orcid":"0000-0001-8559-3973","last_name":"Danzl","id":"42EFD3B6-F248-11E8-B48F-1D18A9856A87","full_name":"Danzl, Johann G","first_name":"Johann G"},{"last_name":"Schütz","full_name":"Schütz, Gerhard J.","first_name":"Gerhard J."},{"last_name":"Sevcsik","first_name":"Eva","full_name":"Sevcsik, Eva"}],"has_accepted_license":"1","isi":1,"scopus_import":"1","day":"24","publisher":"Frontiers Media","department":[{"_id":"JoDa"}],"publication_status":"published","ddc":["540"],"language":[{"iso":"eng"}],"publication":"Frontiers in Chemistry"},{"language":[{"iso":"eng"}],"ddc":["530"],"publication_status":"published","publication":"Molecular Physics","project":[{"call_identifier":"FWF","grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment","_id":"26031614-B435-11E9-9278-68D0E5697425"},{"name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"291734"}],"isi":1,"scopus_import":"1","publisher":"Taylor & Francis","department":[{"_id":"MiLe"}],"day":"18","date_created":"2019-01-27T22:59:10Z","has_accepted_license":"1","author":[{"id":"4B7E523C-F248-11E8-B48F-1D18A9856A87","last_name":"Li","first_name":"Xiang","full_name":"Li, Xiang"},{"full_name":"Bighin, Giacomo","first_name":"Giacomo","last_name":"Bighin","id":"4CA96FD4-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8823-9777"},{"last_name":"Yakaboylu","orcid":"0000-0001-5973-0874","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","full_name":"Yakaboylu, Enderalp","first_name":"Enderalp"},{"last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","full_name":"Lemeshko, Mikhail"}],"article_processing_charge":"No","oa_version":"Published Version","fulldoi":"https://doi.org/10.1080/00268976.2019.1567852","month":"01","quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"5886","doi":"10.1080/00268976.2019.1567852","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_published":"2019-01-18T00:00:00Z","related_material":{"record":[{"status":"public","id":"8958","relation":"dissertation_contains"}]},"status":"public","type":"journal_article","date_updated":"2026-07-07T05:31:10Z","file_date_updated":"2020-07-14T12:47:13Z","publication_identifier":{"issn":["0026-8976"]},"title":"Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon","oa":1,"abstract":[{"lang":"eng","text":"Problems involving quantum impurities, in which one or a few particles are interacting with a macroscopic environment, represent a pervasive paradigm, spanning across atomic, molecular, and condensed-matter physics. In this paper we introduce new variational approaches to quantum impurities and apply them to the Fröhlich polaron–a quasiparticle formed out of an electron (or other point-like impurity) in a polar medium, and to the angulon–a quasiparticle formed out of a rotating molecule in a bosonic bath. We benchmark these approaches against established theories, evaluating their accuracy as a function of the impurity-bath coupling."}],"external_id":{"isi":["000474641400008"]},"year":"2019","file":[{"checksum":"178964744b636a6f036372f4f090a657","file_id":"5896","file_name":"2019_MolecularPhysics_Li.pdf","date_updated":"2020-07-14T12:47:13Z","access_level":"open_access","date_created":"2019-01-29T08:32:57Z","content_type":"application/pdf","relation":"main_file","file_size":1309966,"creator":"dernst"}],"ec_funded":1,"das_tickbox":"1","citation":{"ieee":"X. Li, G. Bighin, E. Yakaboylu, and M. Lemeshko, “Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon,” <i>Molecular Physics</i>. Taylor &#38; Francis, 2019.","ista":"Li X, Bighin G, Yakaboylu E, Lemeshko M. 2019. Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. Molecular Physics.","apa":"Li, X., Bighin, G., Yakaboylu, E., &#38; Lemeshko, M. (2019). Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. <i>Molecular Physics</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/00268976.2019.1567852\">https://doi.org/10.1080/00268976.2019.1567852</a>","short":"X. Li, G. Bighin, E. Yakaboylu, M. Lemeshko, Molecular Physics (2019).","chicago":"Li, Xiang, Giacomo Bighin, Enderalp Yakaboylu, and Mikhail Lemeshko. “Variational Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” <i>Molecular Physics</i>. Taylor &#38; Francis, 2019. <a href=\"https://doi.org/10.1080/00268976.2019.1567852\">https://doi.org/10.1080/00268976.2019.1567852</a>.","ama":"Li X, Bighin G, Yakaboylu E, Lemeshko M. Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon. <i>Molecular Physics</i>. 2019. doi:<a href=\"https://doi.org/10.1080/00268976.2019.1567852\">10.1080/00268976.2019.1567852</a>","mla":"Li, Xiang, et al. “Variational Approaches to Quantum Impurities: From the Fröhlich Polaron to the Angulon.” <i>Molecular Physics</i>, Taylor &#38; Francis, 2019, doi:<a href=\"https://doi.org/10.1080/00268976.2019.1567852\">10.1080/00268976.2019.1567852</a>."}}]