[{"date_updated":"2024-10-14T11:30:08Z","year":"2007","publication":"Nature Cell Biology","publication_identifier":{"eissn":["1476-4679"],"issn":["1465-7392"]},"author":[{"last_name":"Anderson","full_name":"Anderson, Daniel J.","first_name":"Daniel J."},{"id":"86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed","last_name":"HETZER","first_name":"Martin W","full_name":"HETZER, Martin W","orcid":"0000-0002-2111-992X"}],"oa_version":"None","doi":"10.1038/ncb1636","quality_controlled":"1","language":[{"iso":"eng"}],"issue":"10","status":"public","external_id":{"pmid":["17828249"]},"date_created":"2022-04-07T07:56:04Z","date_published":"2007-09-09T00:00:00Z","type":"journal_article","volume":9,"title":"Nuclear envelope formation by chromatin-mediated reorganization of the endoplasmic reticulum","_id":"11115","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","extern":"1","scopus_import":"1","article_processing_charge":"No","intvolume":"         9","publisher":"Springer Nature","keyword":["Cell Biology"],"month":"09","article_type":"original","abstract":[{"lang":"eng","text":"The formation of the nuclear envelope (NE) around chromatin is a major membrane-remodelling event that occurs during cell division of metazoa. It is unclear whether the nuclear membrane reforms by the fusion of NE fragments or if it re-emerges from an intact tubular network of the endoplasmic reticulum (ER). Here, we show that NE formation and expansion requires a tubular ER network and occurs efficiently in the presence of the membrane fusion inhibitor GTPγS. Chromatin recruitment of membranes, which is initiated by tubule-end binding, followed by the formation, expansion and sealing of flat membrane sheets, is mediated by DNA-binding proteins residing in the ER. Thus, chromatin plays an active role in reshaping of the ER during NE formation."}],"citation":{"short":"D.J. Anderson, M. Hetzer, Nature Cell Biology 9 (2007) 1160–1166.","ista":"Anderson DJ, Hetzer M. 2007. Nuclear envelope formation by chromatin-mediated reorganization of the endoplasmic reticulum. Nature Cell Biology. 9(10), 1160–1166.","apa":"Anderson, D. J., &#38; Hetzer, M. (2007). Nuclear envelope formation by chromatin-mediated reorganization of the endoplasmic reticulum. <i>Nature Cell Biology</i>. Springer Nature. <a href=\"https://doi.org/10.1038/ncb1636\">https://doi.org/10.1038/ncb1636</a>","ieee":"D. J. Anderson and M. Hetzer, “Nuclear envelope formation by chromatin-mediated reorganization of the endoplasmic reticulum,” <i>Nature Cell Biology</i>, vol. 9, no. 10. Springer Nature, pp. 1160–1166, 2007.","chicago":"Anderson, Daniel J., and Martin Hetzer. “Nuclear Envelope Formation by Chromatin-Mediated Reorganization of the Endoplasmic Reticulum.” <i>Nature Cell Biology</i>. Springer Nature, 2007. <a href=\"https://doi.org/10.1038/ncb1636\">https://doi.org/10.1038/ncb1636</a>.","ama":"Anderson DJ, Hetzer M. Nuclear envelope formation by chromatin-mediated reorganization of the endoplasmic reticulum. <i>Nature Cell Biology</i>. 2007;9(10):1160-1166. doi:<a href=\"https://doi.org/10.1038/ncb1636\">10.1038/ncb1636</a>","mla":"Anderson, Daniel J., and Martin Hetzer. “Nuclear Envelope Formation by Chromatin-Mediated Reorganization of the Endoplasmic Reticulum.” <i>Nature Cell Biology</i>, vol. 9, no. 10, Springer Nature, 2007, pp. 1160–66, doi:<a href=\"https://doi.org/10.1038/ncb1636\">10.1038/ncb1636</a>."},"day":"09","pmid":1,"page":"1160-1166"},{"language":[{"iso":"eng"}],"status":"public","issue":"2","doi":"10.1038/sj.embor.7400889","oa_version":"Published Version","quality_controlled":"1","publication":"EMBO reports","publication_identifier":{"issn":["1469-221X"],"eissn":["1469-3178"]},"author":[{"full_name":"Franz, Cerstin","first_name":"Cerstin","last_name":"Franz"},{"first_name":"Rudolf","last_name":"Walczak","full_name":"Walczak, Rudolf"},{"first_name":"Sevil","last_name":"Yavuz","full_name":"Yavuz, Sevil"},{"last_name":"Santarella","full_name":"Santarella, Rachel","first_name":"Rachel"},{"first_name":"Marc","full_name":"Gentzel, Marc","last_name":"Gentzel"},{"full_name":"Askjaer, Peter","last_name":"Askjaer","first_name":"Peter"},{"last_name":"Galy","first_name":"Vincent","full_name":"Galy, Vincent"},{"orcid":"0000-0002-2111-992X","id":"86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed","full_name":"HETZER, Martin W","first_name":"Martin W","last_name":"HETZER"},{"first_name":"Iain W","last_name":"Mattaj","full_name":"Mattaj, Iain W"},{"last_name":"Antonin","full_name":"Antonin, Wolfram","first_name":"Wolfram"}],"year":"2007","date_updated":"2022-07-18T08:56:40Z","date_published":"2007-01-19T00:00:00Z","date_created":"2022-04-07T07:56:13Z","external_id":{"pmid":["17235358"]},"volume":8,"type":"journal_article","user_id":"72615eeb-f1f3-11ec-aa25-d4573ddc34fd","title":"MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and postmitotic nuclear pore complex assembly","_id":"11116","article_processing_charge":"No","scopus_import":"1","publication_status":"published","extern":"1","keyword":["Genetics","Molecular Biology","Biochemistry"],"publisher":"EMBO","intvolume":"         8","oa":1,"main_file_link":[{"url":"https://doi.org/10.1038/sj.embor.7400889","open_access":"1"}],"month":"01","pmid":1,"page":"165-172","day":"19","abstract":[{"lang":"eng","text":"The metazoan nuclear envelope (NE) breaks down and re-forms during each cell cycle. Nuclear pore complexes (NPCs), which allow nucleocytoplasmic transport during interphase, assemble into the re-forming NE at the end of mitosis. Using in vitro NE assembly, we show that the vertebrate homologue of MEL-28 (maternal effect lethal), a recently discovered NE component in Caenorhabditis elegans, functions in postmitotic NPC assembly. MEL-28 interacts with the Nup107–160 complex (Nup for nucleoporin), an important building block of the NPC, and is essential for the recruitment of the Nup107–160 complex to chromatin. We suggest that MEL-28 acts as a seeding point for NPC assembly."}],"citation":{"mla":"Franz, Cerstin, et al. “MEL‐28/ELYS Is Required for the Recruitment of Nucleoporins to Chromatin and Postmitotic Nuclear Pore Complex Assembly.” <i>EMBO Reports</i>, vol. 8, no. 2, EMBO, 2007, pp. 165–72, doi:<a href=\"https://doi.org/10.1038/sj.embor.7400889\">10.1038/sj.embor.7400889</a>.","chicago":"Franz, Cerstin, Rudolf Walczak, Sevil Yavuz, Rachel Santarella, Marc Gentzel, Peter Askjaer, Vincent Galy, Martin Hetzer, Iain W Mattaj, and Wolfram Antonin. “MEL‐28/ELYS Is Required for the Recruitment of Nucleoporins to Chromatin and Postmitotic Nuclear Pore Complex Assembly.” <i>EMBO Reports</i>. EMBO, 2007. <a href=\"https://doi.org/10.1038/sj.embor.7400889\">https://doi.org/10.1038/sj.embor.7400889</a>.","ama":"Franz C, Walczak R, Yavuz S, et al. MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and postmitotic nuclear pore complex assembly. <i>EMBO reports</i>. 2007;8(2):165-172. doi:<a href=\"https://doi.org/10.1038/sj.embor.7400889\">10.1038/sj.embor.7400889</a>","ieee":"C. Franz <i>et al.</i>, “MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and postmitotic nuclear pore complex assembly,” <i>EMBO reports</i>, vol. 8, no. 2. EMBO, pp. 165–172, 2007.","ista":"Franz C, Walczak R, Yavuz S, Santarella R, Gentzel M, Askjaer P, Galy V, Hetzer M, Mattaj IW, Antonin W. 2007. MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and postmitotic nuclear pore complex assembly. EMBO reports. 8(2), 165–172.","apa":"Franz, C., Walczak, R., Yavuz, S., Santarella, R., Gentzel, M., Askjaer, P., … Antonin, W. (2007). MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and postmitotic nuclear pore complex assembly. <i>EMBO Reports</i>. EMBO. <a href=\"https://doi.org/10.1038/sj.embor.7400889\">https://doi.org/10.1038/sj.embor.7400889</a>","short":"C. Franz, R. Walczak, S. Yavuz, R. Santarella, M. Gentzel, P. Askjaer, V. Galy, M. Hetzer, I.W. Mattaj, W. Antonin, EMBO Reports 8 (2007) 165–172."},"article_type":"original"},{"type":"journal_article","volume":317,"title":"Search technologies for the internet","_id":"11884","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"None","doi":"10.1126/science.1126557","quality_controlled":"1","language":[{"iso":"eng"}],"status":"public","issue":"5837","year":"2007","date_updated":"2024-11-06T12:01:07Z","publication_identifier":{"issn":["0036-8075"],"eissn":["1095-9203"]},"publication":"Science","author":[{"orcid":"0000-0002-5008-6530","last_name":"Henzinger","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","full_name":"Henzinger, Monika H"}],"date_created":"2022-08-17T07:30:07Z","date_published":"2007-07-27T00:00:00Z","external_id":{"pmid":["17656714"]},"month":"07","day":"27","pmid":1,"page":"468-471","article_type":"review","citation":{"short":"M. Henzinger, Science 317 (2007) 468–471.","apa":"Henzinger, M. (2007). Search technologies for the internet. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.1126557\">https://doi.org/10.1126/science.1126557</a>","ista":"Henzinger M. 2007. Search technologies for the internet. Science. 317(5837), 468–471.","mla":"Henzinger, Monika. “Search Technologies for the Internet.” <i>Science</i>, vol. 317, no. 5837, American Association for the Advancement of Science, 2007, pp. 468–71, doi:<a href=\"https://doi.org/10.1126/science.1126557\">10.1126/science.1126557</a>.","ieee":"M. Henzinger, “Search technologies for the internet,” <i>Science</i>, vol. 317, no. 5837. American Association for the Advancement of Science, pp. 468–471, 2007.","chicago":"Henzinger, Monika. “Search Technologies for the Internet.” <i>Science</i>. American Association for the Advancement of Science, 2007. <a href=\"https://doi.org/10.1126/science.1126557\">https://doi.org/10.1126/science.1126557</a>.","ama":"Henzinger M. Search technologies for the internet. <i>Science</i>. 2007;317(5837):468-471. doi:<a href=\"https://doi.org/10.1126/science.1126557\">10.1126/science.1126557</a>"},"abstract":[{"text":"About 20% of the world's population uses the Web, and a large majority thereof uses Web search engines to find information. As a result, many Web researchers are devoting much effort to improving the speed and capability of search technology.","lang":"eng"}],"scopus_import":"1","article_processing_charge":"No","extern":"1","publication_status":"published","intvolume":"       317","publisher":"American Association for the Advancement of Science"},{"date_published":"2007-01-01T00:00:00Z","date_created":"2022-08-18T12:37:03Z","publisher":"Society for Industrial & Applied Mathematics","language":[{"iso":"eng"}],"article_processing_charge":"No","status":"public","oa_version":"None","scopus_import":"1","quality_controlled":"1","publication":"18th Annual ACM-SIAM Symposium on Discrete Algorithms","publication_identifier":{"isbn":["9780898716245"]},"author":[{"orcid":"0000-0002-5008-6530","last_name":"Henzinger","full_name":"Henzinger, Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H"}],"date_updated":"2024-11-06T11:59:56Z","year":"2007","publication_status":"published","extern":"1","conference":{"end_date":"2007-01-09","location":"New Orleans, LA, United States","start_date":"2007-01-07","name":"SODA: Symposium on Discrete Algorithms"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"1022-1026","title":"Combinatorial algorithms for web search engines: three success stories","_id":"11924","day":"01","citation":{"apa":"Henzinger, M. (2007). Combinatorial algorithms for web search engines: three success stories. In <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i> (pp. 1022–1026). New Orleans, LA, United States: Society for Industrial &#38; Applied Mathematics.","ista":"Henzinger M. 2007. Combinatorial algorithms for web search engines: three success stories. 18th Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 1022–1026.","short":"M. Henzinger, in:, 18th Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial &#38; Applied Mathematics, 2007, pp. 1022–1026.","mla":"Henzinger, Monika. “Combinatorial Algorithms for Web Search Engines: Three Success Stories.” <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Society for Industrial &#38; Applied Mathematics, 2007, pp. 1022–26.","chicago":"Henzinger, Monika. “Combinatorial Algorithms for Web Search Engines: Three Success Stories.” In <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 1022–26. Society for Industrial &#38; Applied Mathematics, 2007.","ama":"Henzinger M. Combinatorial algorithms for web search engines: three success stories. In: <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Society for Industrial &#38; Applied Mathematics; 2007:1022-1026.","ieee":"M. Henzinger, “Combinatorial algorithms for web search engines: three success stories,” in <i>18th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, New Orleans, LA, United States, 2007, pp. 1022–1026."},"abstract":[{"text":"How much can smart combinatorial algorithms improve web search engines? To address this question we will describe three algorithms that have had a positive impact on web search engines: The PageRank algorithm, algorithms for finding near-duplicate web pages, and algorithms for index server loadbalancing.","lang":"eng"}],"type":"conference","month":"01"},{"publisher":"University College London","intvolume":"        54","date_published":"2007-12-21T00:00:00Z","date_created":"2018-12-11T11:45:16Z","publist_id":"7692","publication":"Mathematika","author":[{"full_name":"Timothy Browning","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","orcid":"0000-0002-8314-0177"}],"date_updated":"2021-01-12T06:55:56Z","year":"2007","extern":1,"publication_status":"published","status":"public","issue":"1-2","doi":"10.1112/S0025579300000243","quality_controlled":0,"citation":{"mla":"Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” <i>Mathematika</i>, vol. 54, no. 1–2, University College London, 2007, pp. 93–112, doi:<a href=\"https://doi.org/10.1112/S0025579300000243\">10.1112/S0025579300000243</a>.","chicago":"Browning, Timothy D. “Counting Rational Points on Cubic Hypersurfaces.” <i>Mathematika</i>. University College London, 2007. <a href=\"https://doi.org/10.1112/S0025579300000243\">https://doi.org/10.1112/S0025579300000243</a>.","ieee":"T. D. Browning, “Counting rational points on cubic hypersurfaces,” <i>Mathematika</i>, vol. 54, no. 1–2. University College London, pp. 93–112, 2007.","ama":"Browning TD. Counting rational points on cubic hypersurfaces. <i>Mathematika</i>. 2007;54(1-2):93-112. doi:<a href=\"https://doi.org/10.1112/S0025579300000243\">10.1112/S0025579300000243</a>","short":"T.D. Browning, Mathematika 54 (2007) 93–112.","ista":"Browning TD. 2007. Counting rational points on cubic hypersurfaces. Mathematika. 54(1–2), 93–112.","apa":"Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. <i>Mathematika</i>. University College London. <a href=\"https://doi.org/10.1112/S0025579300000243\">https://doi.org/10.1112/S0025579300000243</a>"},"abstract":[{"lang":"eng","text":"Let X ⊂ ℙN be a geometrically integral cubic hypersurface defined over ℚ, with singular locus of dimension at most dim X - 4. The main result in this paper is a proof of the fact that X(ℚ) contains OεX,(BdimX+ε) points of height at most B."}],"page":"93 - 112","title":"Counting rational points on cubic hypersurfaces","_id":"220","day":"21","volume":54,"type":"journal_article","month":"12"},{"publisher":"Society for Industrial & Applied Mathematics","intvolume":"        39","das_tickbox":"1","publication_status":"published","extern":"1","OA_place":"repository","article_processing_charge":"No","scopus_import":"1","citation":{"apa":"Vişan, M., &#38; Zhang, X. (2007). On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics. <a href=\"https://doi.org/10.1137/060663969\">https://doi.org/10.1137/060663969</a>","ista":"Vişan M, Zhang X. 2007. On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class. SIAM Journal on Mathematical Analysis. 39(1), 34–56.","short":"M. Vişan, X. Zhang, SIAM Journal on Mathematical Analysis 39 (2007) 34–56.","mla":"Vişan, Monica, and Xiaoyi Zhang. “On the Blowup for the L^2‐critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 39, no. 1, Society for Industrial &#38; Applied Mathematics, 2007, pp. 34–56, doi:<a href=\"https://doi.org/10.1137/060663969\">10.1137/060663969</a>.","ieee":"M. Vişan and X. Zhang, “On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 39, no. 1. Society for Industrial &#38; Applied Mathematics, pp. 34–56, 2007.","chicago":"Vişan, Monica, and Xiaoyi Zhang. “On the Blowup for the L^2‐critical Focusing Nonlinear Schrödinger Equation in Higher Dimensions below the Energy Class.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics, 2007. <a href=\"https://doi.org/10.1137/060663969\">https://doi.org/10.1137/060663969</a>.","ama":"Vişan M, Zhang X. On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class. <i>SIAM Journal on Mathematical Analysis</i>. 2007;39(1):34-56. doi:<a href=\"https://doi.org/10.1137/060663969\">10.1137/060663969</a>"},"abstract":[{"text":"We consider the focusing mass‐critical nonlinear Schrödinger equation and prove that blowup solutions to this equation with initial data in 𝐻𝑠⁡(\\R𝑑), 𝑠 >𝑠0⁡(𝑑) and 𝑑 ≥3, concentrate at least the mass of the ground state at the blowup time. This extends recent work by Colliander et al. [Math. Res. Lett., 12 (2005), pp. 357–375], Hmidi and Keraani [Remarks on the Blowup for the 𝐿2‐Critical Nonlinear Schrödinger Equations, preprint], and Tzirakis [SIAM J. Math. Anal., 37 (2006), pp. 1923–1946] on the blowup of the two‐dimensional and one‐dimensional mass‐critical focusing nonlinear Schrödinger equation below the energy space to all dimensions 𝑑 ≥3.","lang":"eng"}],"article_type":"original","page":"34-56","day":"10","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.math/0606737"}],"month":"04","oa":1,"external_id":{"arxiv":["math/0606737"]},"date_published":"2007-04-10T00:00:00Z","OA_type":"green","date_created":"2026-06-19T07:43:19Z","author":[{"full_name":"Visan, Monica","first_name":"Monica","last_name":"Visan","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"},{"last_name":"Zhang","full_name":"Zhang, Xiaoyi","first_name":"Xiaoyi"}],"publication_identifier":{"issn":["0036-1410"],"eissn":["1095-7154"]},"publication":"SIAM Journal on Mathematical Analysis","year":"2007","date_updated":"2026-06-22T12:52:57Z","status":"public","issue":"1","language":[{"iso":"eng"}],"quality_controlled":"1","doi":"10.1137/060663969","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"22034","title":"On the blowup for the L^2‐critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class","type":"journal_article","volume":39,"arxiv":1},{"oa":1,"month":"10","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.math/0609692"}],"day":"01","page":"165-202","article_type":"original","citation":{"short":"T. Tao, M. Vişan, X. Zhang, Duke Mathematical Journal 140 (2007) 165–202.","apa":"Tao, T., Vişan, M., &#38; Zhang, X. (2007). Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. <i>Duke Mathematical Journal</i>. Duke University Press. <a href=\"https://doi.org/10.1215/s0012-7094-07-14015-8\">https://doi.org/10.1215/s0012-7094-07-14015-8</a>","ista":"Tao T, Vişan M, Zhang X. 2007. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. Duke Mathematical Journal. 140(1), 165–202.","mla":"Tao, Terence, et al. “Global Well-Posedness and Scattering for the Defocusing Mass-Critical Nonlinear Schrödinger Equation for Radial Data in High Dimensions.” <i>Duke Mathematical Journal</i>, vol. 140, no. 1, Duke University Press, 2007, pp. 165–202, doi:<a href=\"https://doi.org/10.1215/s0012-7094-07-14015-8\">10.1215/s0012-7094-07-14015-8</a>.","ieee":"T. Tao, M. Vişan, and X. Zhang, “Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions,” <i>Duke Mathematical Journal</i>, vol. 140, no. 1. Duke University Press, pp. 165–202, 2007.","chicago":"Tao, Terence, Monica Vişan, and Xiaoyi Zhang. “Global Well-Posedness and Scattering for the Defocusing Mass-Critical Nonlinear Schrödinger Equation for Radial Data in High Dimensions.” <i>Duke Mathematical Journal</i>. Duke University Press, 2007. <a href=\"https://doi.org/10.1215/s0012-7094-07-14015-8\">https://doi.org/10.1215/s0012-7094-07-14015-8</a>.","ama":"Tao T, Vişan M, Zhang X. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions. <i>Duke Mathematical Journal</i>. 2007;140(1):165-202. doi:<a href=\"https://doi.org/10.1215/s0012-7094-07-14015-8\">10.1215/s0012-7094-07-14015-8</a>"},"abstract":[{"lang":"eng","text":"We establish global well-posedness and scattering for solutions to the defocusing\r\nmass-critical (pseudoconformal) nonlinear Schrodinger equation ¨ iut +\u0001u =|u|4/nu\r\nfor large, spherically symmetric, L^2x (Rn) initial data in dimensions n ≥ 3. After using\r\nthe concentration-compactness reductions in [32] to reduce to eliminating blow-up\r\nsolutions that are almost periodic modulo scaling, we obtain a frequency-localized\r\nMorawetz estimate and exclude a mass evacuation scenario (somewhat analogously\r\nto [10], [23], [36]) in order to conclude the argument"}],"scopus_import":"1","article_processing_charge":"No","extern":"1","OA_place":"repository","publication_status":"published","das_tickbox":"1","intvolume":"       140","publisher":"Duke University Press","arxiv":1,"volume":140,"type":"journal_article","title":"Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions","_id":"22039","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","doi":"10.1215/s0012-7094-07-14015-8","quality_controlled":"1","language":[{"iso":"eng"}],"issue":"1","status":"public","date_updated":"2026-06-22T13:13:39Z","year":"2007","publication":"Duke Mathematical Journal","publication_identifier":{"issn":["0012-7094"]},"author":[{"full_name":"Tao, Terence","last_name":"Tao","first_name":"Terence"},{"first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica","last_name":"Visan"},{"full_name":"Zhang, Xiaoyi","last_name":"Zhang","first_name":"Xiaoyi"}],"date_created":"2026-06-19T07:45:11Z","OA_type":"green","date_published":"2007-10-01T00:00:00Z","external_id":{"arxiv":["math/0609692"]}},{"month":"04","oa":1,"ddc":["510"],"citation":{"apa":"De La Bretèche, R., &#38; Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. <i>Michigan Mathematical Journal</i>. Project Euclid. <a href=\"https://doi.org/10.1307/mmj/1177681985\">https://doi.org/10.1307/mmj/1177681985</a>","ista":"De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.","short":"R. De La Bretèche, T.D. Browning, Michigan Mathematical Journal 55 (2007) 51–80.","mla":"De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, I.” <i>Michigan Mathematical Journal</i>, vol. 55, no. 1, Project Euclid, 2007, pp. 51–80, doi:<a href=\"https://doi.org/10.1307/mmj/1177681985\">10.1307/mmj/1177681985</a>.","chicago":"De La Bretèche, Régis, and Timothy D Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, I.” <i>Michigan Mathematical Journal</i>. Project Euclid, 2007. <a href=\"https://doi.org/10.1307/mmj/1177681985\">https://doi.org/10.1307/mmj/1177681985</a>.","ieee":"R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, I,” <i>Michigan Mathematical Journal</i>, vol. 55, no. 1. Project Euclid, pp. 51–80, 2007.","ama":"De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. <i>Michigan Mathematical Journal</i>. 2007;55(1):51-80. doi:<a href=\"https://doi.org/10.1307/mmj/1177681985\">10.1307/mmj/1177681985</a>"},"day":"27","page":"51 - 80","publication_status":"published","extern":"1","file_date_updated":"2020-07-14T12:45:32Z","intvolume":"        55","publisher":"Project Euclid","volume":55,"type":"journal_article","arxiv":1,"has_accepted_license":"1","title":"On Manin's conjecture for singular del Pezzo surfaces of degree four, I","_id":"221","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2021-01-12T06:56:00Z","year":"2007","publist_id":"7691","publication":"Michigan Mathematical Journal","author":[{"first_name":"Régis","full_name":"De La Bretèche, Régis","last_name":"De La Bretèche"},{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","first_name":"Timothy D","full_name":"Browning, Timothy D"}],"doi":"10.1307/mmj/1177681985","oa_version":"Published Version","quality_controlled":"1","language":[{"iso":"eng"}],"status":"public","issue":"1","external_id":{"arxiv":["math/0412086"]},"file":[{"checksum":"37663dde30b00d2af8a2606c6630a82f","file_id":"6361","date_updated":"2020-07-14T12:45:32Z","content_type":"application/pdf","access_level":"open_access","date_created":"2019-04-30T08:27:34Z","relation":"main_file","creator":"dernst","file_name":"2007_MichiganMath_Breteche.pdf","file_size":256111}],"date_created":"2018-12-11T11:45:17Z","date_published":"2007-04-27T00:00:00Z"},{"title":"On Manin's conjecture for singular del Pezzo surfaces of degree four, II","_id":"222","day":"01","page":"579 - 605","abstract":[{"text":"Acknowledgements. The authors are grateful to Ulrich Derenthal and Brendan Hassett for several useful conversations relating to universal torsors for singular del Pezzo surfaces. Special thanks are due to Roger Heath–Brown whose ideas led us to the proof of Lemma 6. The paper was finalised while the first author was at the École Normale Supérieure, and the second author was at Oxford University supported by EPSRC grant number GR/R93155/01. The hospitality and financial support of these institutions is gratefully acknowledged. Finally, the authors would like to thank the anonymous referee for his careful reading of the manuscript and numerous useful suggestions.","lang":"eng"}],"citation":{"apa":"De La Bretèche, R., &#38; Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Unknown. <a href=\"https://doi.org/10.1017/S0305004107000205\">https://doi.org/10.1017/S0305004107000205</a>","ista":"De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. 143(3), 579–605.","short":"R. De La Bretèche, T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society 143 (2007) 579–605.","chicago":"De La Bretèche, Régis, and Timothy D Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, II.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. Unknown, 2007. <a href=\"https://doi.org/10.1017/S0305004107000205\">https://doi.org/10.1017/S0305004107000205</a>.","ieee":"R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, II,” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 143, no. 3. Unknown, pp. 579–605, 2007.","ama":"De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>. 2007;143(3):579-605. doi:<a href=\"https://doi.org/10.1017/S0305004107000205\">10.1017/S0305004107000205</a>","mla":"De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for Singular Del Pezzo Surfaces of Degree Four, II.” <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, vol. 143, no. 3, Unknown, 2007, pp. 579–605, doi:<a href=\"https://doi.org/10.1017/S0305004107000205\">10.1017/S0305004107000205</a>."},"oa":1,"acknowledgement":"GR/R93155/01","type":"journal_article","volume":143,"month":"01","main_file_link":[{"url":"https://arxiv.org/abs/math/0502510v4","open_access":"1"}],"date_created":"2018-12-11T11:45:17Z","date_published":"2007-01-01T00:00:00Z","intvolume":"       143","publisher":"Unknown","doi":"10.1017/S0305004107000205","quality_controlled":0,"issue":"3","status":"public","year":"2007","date_updated":"2021-01-12T06:56:05Z","publication_status":"published","extern":1,"publication":"Mathematical Proceedings of the Cambridge Philosophical Society","publist_id":"7689","author":[{"first_name":"Régis","last_name":"De La Bretèche","full_name":"de la Bretèche, Régis"},{"first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177"}]},{"date_published":"2007-09-01T00:00:00Z","date_created":"2018-12-11T11:45:17Z","publisher":"Springer","intvolume":"       152","issue":"1","status":"public","quality_controlled":0,"doi":"10.1007/s00605-007-0457-5","author":[{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","first_name":"Timothy D","last_name":"Browning"}],"publist_id":"7690","publication":"Monatshefte fur Mathematik","extern":1,"publication_status":"published","year":"2007","date_updated":"2021-01-12T06:56:09Z","page":"13 - 38","_id":"223","day":"01","title":"Density of integer solutions to diagonal quadratic forms","abstract":[{"lang":"eng","text":"Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus."}],"citation":{"chicago":"Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” <i>Monatshefte Fur Mathematik</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s00605-007-0457-5\">https://doi.org/10.1007/s00605-007-0457-5</a>.","ama":"Browning TD. Density of integer solutions to diagonal quadratic forms. <i>Monatshefte fur Mathematik</i>. 2007;152(1):13-38. doi:<a href=\"https://doi.org/10.1007/s00605-007-0457-5\">10.1007/s00605-007-0457-5</a>","ieee":"T. D. Browning, “Density of integer solutions to diagonal quadratic forms,” <i>Monatshefte fur Mathematik</i>, vol. 152, no. 1. Springer, pp. 13–38, 2007.","mla":"Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.” <i>Monatshefte Fur Mathematik</i>, vol. 152, no. 1, Springer, 2007, pp. 13–38, doi:<a href=\"https://doi.org/10.1007/s00605-007-0457-5\">10.1007/s00605-007-0457-5</a>.","short":"T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.","ista":"Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.","apa":"Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. <i>Monatshefte Fur Mathematik</i>. Springer. <a href=\"https://doi.org/10.1007/s00605-007-0457-5\">https://doi.org/10.1007/s00605-007-0457-5</a>"},"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0603569"}],"month":"09","type":"journal_article","volume":152},{"citation":{"short":"R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.","ista":"Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288.","apa":"Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase entropy. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-007-0159-x\">https://doi.org/10.1007/s11005-007-0159-x</a>","chicago":"Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” <i>Letters in Mathematical Physics</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s11005-007-0159-x\">https://doi.org/10.1007/s11005-007-0159-x</a>.","ieee":"R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,” <i>Letters in Mathematical Physics</i>, vol. 80, no. 3. Springer, pp. 285–288, 2007.","ama":"Seiringer R. On the failure of subadditivity of the Wigner-Yanase entropy. <i>Letters in Mathematical Physics</i>. 2007;80(3):285-288. doi:<a href=\"https://doi.org/10.1007/s11005-007-0159-x\">10.1007/s11005-007-0159-x</a>","mla":"Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” <i>Letters in Mathematical Physics</i>, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:<a href=\"https://doi.org/10.1007/s11005-007-0159-x\">10.1007/s11005-007-0159-x</a>."},"abstract":[{"lang":"eng","text":"It was recently shown by Hansen that the Wigner-Yanase entropy is, for general states of quantum systems, not subadditive with respect to decomposition into two subsystems, although this property is known to hold for pure states. We investigate the question whether the weaker property of subadditivity for pure states with respect to decomposition into more than two subsystems holds. This property would have interesting applications in quantum chemistry. We show, however, that it does not hold in general, and provide a counterexample."}],"page":"285 - 288","_id":"2367","day":"01","title":"On the failure of subadditivity of the Wigner-Yanase entropy","main_file_link":[{"url":"http://arxiv.org/abs/0704.1435","open_access":"1"}],"month":"06","type":"journal_article","volume":80,"oa":1,"publisher":"Springer","intvolume":"        80","date_published":"2007-06-01T00:00:00Z","date_created":"2018-12-11T11:57:15Z","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"publist_id":"4557","publication":"Letters in Mathematical Physics","publication_status":"published","extern":1,"year":"2007","date_updated":"2021-01-12T06:57:03Z","status":"public","issue":"3","quality_controlled":0,"doi":"10.1007/s11005-007-0159-x"},{"issue":"3","status":"public","quality_controlled":0,"doi":"10.1016/S0034-4877(07)80074-7","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","orcid":"0000-0002-6781-0521"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"publist_id":"4556","publication":"Reports on Mathematical Physics","extern":1,"publication_status":"published","year":"2007","date_updated":"2021-01-12T06:57:04Z","date_published":"2007-06-01T00:00:00Z","date_created":"2018-12-11T11:57:16Z","publisher":"Elsevier","intvolume":"        59","oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0610034"}],"month":"06","volume":59,"type":"journal_article","page":"389 - 399","_id":"2370","day":"01","title":"Bose-Einstein condensation and spontaneous symmetry breaking","citation":{"short":"É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.","ista":"Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.","apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2007). Bose-Einstein condensation and spontaneous symmetry breaking. <i>Reports on Mathematical Physics</i>. Elsevier. <a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">https://doi.org/10.1016/S0034-4877(07)80074-7</a>","mla":"Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:<a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">10.1016/S0034-4877(07)80074-7</a>.","chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” <i>Reports on Mathematical Physics</i>. Elsevier, 2007. <a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">https://doi.org/10.1016/S0034-4877(07)80074-7</a>.","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous symmetry breaking,” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3. Elsevier, pp. 389–399, 2007.","ama":"Lieb É, Seiringer R, Yngvason J. Bose-Einstein condensation and spontaneous symmetry breaking. <i>Reports on Mathematical Physics</i>. 2007;59(3):389-399. doi:<a href=\"https://doi.org/10.1016/S0034-4877(07)80074-7\">10.1016/S0034-4877(07)80074-7</a>"},"abstract":[{"lang":"eng","text":"After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long-range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented. The proof is based on a rigorous validation of Bogoliubov's c-number substitution for the k = 0 mode operator α0."}]},{"_id":"2371","day":"01","title":"Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value","page":"479 - 489","abstract":[{"lang":"eng","text":"We give a proof of stability of relativistic matter with magnetic fields all the way up to the critical value of the nuclear charge Zα = 2/π."}],"citation":{"short":"R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.","apa":"Frank, R., Lieb, É., &#38; Seiringer, R. (2007). Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-007-0307-2\">https://doi.org/10.1007/s00220-007-0307-2</a>","ista":"Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics. 275(2), 479–489.","ama":"Frank R, Lieb É, Seiringer R. Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. <i>Communications in Mathematical Physics</i>. 2007;275(2):479-489. doi:<a href=\"https://doi.org/10.1007/s00220-007-0307-2\">10.1007/s00220-007-0307-2</a>","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value,” <i>Communications in Mathematical Physics</i>, vol. 275, no. 2. Springer, pp. 479–489, 2007.","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” <i>Communications in Mathematical Physics</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s00220-007-0307-2\">https://doi.org/10.1007/s00220-007-0307-2</a>.","mla":"Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” <i>Communications in Mathematical Physics</i>, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:<a href=\"https://doi.org/10.1007/s00220-007-0307-2\">10.1007/s00220-007-0307-2</a>."},"oa":1,"month":"10","type":"journal_article","volume":275,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0610062"}],"date_created":"2018-12-11T11:57:16Z","date_published":"2007-10-01T00:00:00Z","intvolume":"       275","publisher":"Springer","quality_controlled":0,"doi":"10.1007/s00220-007-0307-2","issue":"2","status":"public","publication_status":"published","extern":1,"date_updated":"2021-01-12T06:57:05Z","year":"2007","author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"last_name":"Seiringer","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"publist_id":"4555","publication":"Communications in Mathematical Physics"},{"day":"30","_id":"2372","title":"Müller's exchange-correlation energy in density-matrix-functional theory","citation":{"ieee":"R. Frank, É. Lieb, R. Seiringer, and H. Siedentop, “Müller’s exchange-correlation energy in density-matrix-functional theory,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 76, no. 5. American Physical Society, 2007.","ama":"Frank R, Lieb É, Seiringer R, Siedentop H. Müller’s exchange-correlation energy in density-matrix-functional theory. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2007;76(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.76.052517\">10.1103/PhysRevA.76.052517</a>","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2007. <a href=\"https://doi.org/10.1103/PhysRevA.76.052517\">https://doi.org/10.1103/PhysRevA.76.052517</a>.","mla":"Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 76, no. 5, American Physical Society, 2007, doi:<a href=\"https://doi.org/10.1103/PhysRevA.76.052517\">10.1103/PhysRevA.76.052517</a>.","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Siedentop, H. (2007). Müller’s exchange-correlation energy in density-matrix-functional theory. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.76.052517\">https://doi.org/10.1103/PhysRevA.76.052517</a>","ista":"Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics. 76(5).","short":"R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007)."},"abstract":[{"text":"The increasing interest in the Müller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the Hartree-Fock (HF) functional, but with a modified exchange term in which the square of the density matrix γ(x, x′) is replaced by the square of γ1 2 (x, x′). After an extensive introductory discussion of density-matrix-functional theory we show, among other things, that this functional is convex (unlike the HF functional) and that energy minimizing γ 's have unique densities ρ(r), which is a physically desirable property often absent in HF theory. We show that minimizers exist if N≤Z, and derive various properties of the minimal energy and the corresponding minimizers. We also give a precise statement about the equation for the orbitals of γ, which is more complex than for HF theory. We state some open mathematical questions about the theory together with conjectured solutions.","lang":"eng"}],"oa":1,"month":"11","type":"journal_article","volume":76,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0705.1587"}],"date_created":"2018-12-11T11:57:17Z","date_published":"2007-11-30T00:00:00Z","intvolume":"        76","publisher":"American Physical Society","quality_controlled":0,"doi":"10.1103/PhysRevA.76.052517","status":"public","issue":"5","extern":1,"publication_status":"published","date_updated":"2021-01-12T06:57:05Z","year":"2007","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert"},{"full_name":"Siedentop, Heinz K","last_name":"Siedentop","first_name":"Heinz"}],"publication":"Physical Review A - Atomic, Molecular, and Optical Physics","publist_id":"4554"},{"oa":1,"month":"01","volume":17,"type":"journal_article","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0704.3564"}],"day":"01","_id":"2373","title":"The critical temperature for the BCS equation at weak coupling","page":"559 - 567","abstract":[{"text":"For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as γ&quot;0. We derive necessary and sufficient conditions onV(x) for the existence of a nontrivial solution for all values of γ&gt;0.","lang":"eng"}],"citation":{"chicago":"Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer. “The Critical Temperature for the BCS Equation at Weak Coupling.” <i>Journal of Geometric Analysis</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/BF02937429\">https://doi.org/10.1007/BF02937429</a>.","ama":"Frank R, Hainzl C, Naboko S, Seiringer R. The critical temperature for the BCS equation at weak coupling. <i>Journal of Geometric Analysis</i>. 2007;17(4):559-567. doi:<a href=\"https://doi.org/10.1007/BF02937429\">10.1007/BF02937429</a>","ieee":"R. Frank, C. Hainzl, S. Naboko, and R. Seiringer, “The critical temperature for the BCS equation at weak coupling,” <i>Journal of Geometric Analysis</i>, vol. 17, no. 4. Springer, pp. 559–567, 2007.","mla":"Frank, Rupert, et al. “The Critical Temperature for the BCS Equation at Weak Coupling.” <i>Journal of Geometric Analysis</i>, vol. 17, no. 4, Springer, 2007, pp. 559–67, doi:<a href=\"https://doi.org/10.1007/BF02937429\">10.1007/BF02937429</a>.","short":"R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.","ista":"Frank R, Hainzl C, Naboko S, Seiringer R. 2007. The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis. 17(4), 559–567.","apa":"Frank, R., Hainzl, C., Naboko, S., &#38; Seiringer, R. (2007). The critical temperature for the BCS equation at weak coupling. <i>Journal of Geometric Analysis</i>. Springer. <a href=\"https://doi.org/10.1007/BF02937429\">https://doi.org/10.1007/BF02937429</a>"},"quality_controlled":0,"doi":"10.1007/BF02937429","status":"public","issue":"4","publication_status":"published","extern":1,"year":"2007","date_updated":"2021-01-12T06:57:05Z","author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"last_name":"Naboko","full_name":"Naboko, Serguei N","first_name":"Serguei"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"publist_id":"4553","publication":"Journal of Geometric Analysis","date_created":"2018-12-11T11:57:17Z","date_published":"2007-01-01T00:00:00Z","intvolume":"        17","publisher":"Springer"},{"intvolume":"        82","publisher":"Springer","date_created":"2018-12-11T11:57:18Z","date_published":"2007-12-01T00:00:00Z","date_updated":"2021-01-12T06:57:06Z","year":"2007","extern":1,"publication_status":"published","publist_id":"4552","publication":"Letters in Mathematical Physics","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"doi":"10.1007/s11005-007-0211-x","quality_controlled":0,"status":"public","issue":"2-3","citation":{"ama":"Frank R, Lieb É, Seiringer R. Number of bound states of Schrödinger operators with matrix-valued potentials. <i>Letters in Mathematical Physics</i>. 2007;82(2-3):107-116. doi:<a href=\"https://doi.org/10.1007/s11005-007-0211-x\">10.1007/s11005-007-0211-x</a>","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Number of bound states of Schrödinger operators with matrix-valued potentials,” <i>Letters in Mathematical Physics</i>, vol. 82, no. 2–3. Springer, pp. 107–116, 2007.","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” <i>Letters in Mathematical Physics</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s11005-007-0211-x\">https://doi.org/10.1007/s11005-007-0211-x</a>.","mla":"Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” <i>Letters in Mathematical Physics</i>, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:<a href=\"https://doi.org/10.1007/s11005-007-0211-x\">10.1007/s11005-007-0211-x</a>.","short":"R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.","apa":"Frank, R., Lieb, É., &#38; Seiringer, R. (2007). Number of bound states of Schrödinger operators with matrix-valued potentials. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-007-0211-x\">https://doi.org/10.1007/s11005-007-0211-x</a>","ista":"Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3), 107–116."},"abstract":[{"text":"We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.","lang":"eng"}],"title":"Number of bound states of Schrödinger operators with matrix-valued potentials","_id":"2375","day":"01","page":"107 - 116","type":"journal_article","volume":82,"month":"12","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0710.1877"}],"oa":1},{"date_created":"2018-12-11T11:57:44Z","date_published":"2007-01-01T00:00:00Z","intvolume":"         1","publisher":"CSAV","quality_controlled":"1","oa_version":"None","status":"public","language":[{"iso":"cze"}],"extern":"1","publication_status":"published","year":"2007","date_updated":"2021-01-12T06:57:34Z","author":[{"first_name":"Jirí","last_name":"Friml","full_name":"Friml, Jirí","id":"4159519E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8302-7596"}],"publist_id":"4452","publication":"Živa","_id":"2451","day":"01","title":"Auxin - Universal development signal in plant life","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"Signal molecules known as phytohormones play a decisive role in processing signals coming to plants from the surrounding environment. They include auxin — a simple compound with a large range of effects. Auxin is irregularly deposited in plant tissues, it accumulates in certain cellules and through activation of a signal cascade it causes changes in the development programme of these cellules. This article forms a part of the series prepared in honour of the anniversary of the important plant physiologist — Bohumil Němec."}],"citation":{"ama":"Friml J. Auxin - Universal development signal in plant life. <i>Živa</i>. 2007;1.","chicago":"Friml, Jiří. “Auxin - Universal development signal in plant life.” <i>Živa</i>. CSAV, 2007.","ieee":"J. Friml, “Auxin - Universal development signal in plant life,” <i>Živa</i>, vol. 1. CSAV, 2007.","mla":"Friml, Jiří. “Auxin - Universal development signal in plant life.” <i>Živa</i>, vol. 1, CSAV, 2007.","apa":"Friml, J. (2007). Auxin - Universal development signal in plant life. <i>Živa</i>. CSAV.","ista":"Friml J. 2007. Auxin - Universal development signal in plant life. Živa. 1.","short":"J. Friml, Živa 1 (2007)."},"month":"01","volume":1,"type":"journal_article"},{"date_updated":"2021-01-12T06:57:38Z","year":"2007","publication_status":"published","extern":1,"publication":"The Arabidopsis Book","publist_id":"4441","author":[{"last_name":"Michniewicz","first_name":"Marta","full_name":"Michniewicz, Marta"},{"full_name":"Brewer, Philip B","last_name":"Brewer","first_name":"Philip"},{"orcid":"0000-0002-8302-7596","last_name":"Friml","full_name":"Jirí Friml","id":"4159519E-F248-11E8-B48F-1D18A9856A87","first_name":"Jirí"}],"doi":"10.1199/tab.0108","quality_controlled":0,"status":"public","intvolume":"         5","publisher":"The American Society of Plant Biologists","date_created":"2018-12-11T11:57:48Z","date_published":"2007-08-21T00:00:00Z","type":"journal_article","volume":5,"month":"08","citation":{"ama":"Michniewicz M, Brewer P, Friml J. Polar auxin transport and asymmetric auxin distribution. <i>The Arabidopsis Book</i>. 2007;5. doi:<a href=\"https://doi.org/10.1199/tab.0108\">10.1199/tab.0108</a>","chicago":"Michniewicz, Marta, Philip Brewer, and Jiří Friml. “Polar Auxin Transport and Asymmetric Auxin Distribution.” <i>The Arabidopsis Book</i>. The American Society of Plant Biologists, 2007. <a href=\"https://doi.org/10.1199/tab.0108\">https://doi.org/10.1199/tab.0108</a>.","ieee":"M. Michniewicz, P. Brewer, and J. Friml, “Polar auxin transport and asymmetric auxin distribution,” <i>The Arabidopsis Book</i>, vol. 5. The American Society of Plant Biologists, 2007.","mla":"Michniewicz, Marta, et al. “Polar Auxin Transport and Asymmetric Auxin Distribution.” <i>The Arabidopsis Book</i>, vol. 5, The American Society of Plant Biologists, 2007, doi:<a href=\"https://doi.org/10.1199/tab.0108\">10.1199/tab.0108</a>.","ista":"Michniewicz M, Brewer P, Friml J. 2007. Polar auxin transport and asymmetric auxin distribution. The Arabidopsis Book. 5.","apa":"Michniewicz, M., Brewer, P., &#38; Friml, J. (2007). Polar auxin transport and asymmetric auxin distribution. <i>The Arabidopsis Book</i>. The American Society of Plant Biologists. <a href=\"https://doi.org/10.1199/tab.0108\">https://doi.org/10.1199/tab.0108</a>","short":"M. Michniewicz, P. Brewer, J. Friml, The Arabidopsis Book 5 (2007)."},"title":"Polar auxin transport and asymmetric auxin distribution","_id":"2462","day":"21"},{"_id":"2495","day":"10","title":"Metabotropic glutamate receptor 4-immunopositive terminals of medium-sized spiny neurons selectively form synapses with cholinergic interneurons in the rat neostriatum","page":"908 - 922","citation":{"apa":"Kuramoto, E., Fujiyama, F., Unzai, T., Nakamura, K., Hioki, H., Furuta, T., … Kaneko, T. (2007). Metabotropic glutamate receptor 4-immunopositive terminals of medium-sized spiny neurons selectively form synapses with cholinergic interneurons in the rat neostriatum. <i>Journal of Comparative Neurology</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1002/cne.21216\">https://doi.org/10.1002/cne.21216</a>","ista":"Kuramoto E, Fujiyama F, Unzai T, Nakamura K, Hioki H, Furuta T, Shigemoto R, Ferraguti F, Kaneko T. 2007. Metabotropic glutamate receptor 4-immunopositive terminals of medium-sized spiny neurons selectively form synapses with cholinergic interneurons in the rat neostriatum. Journal of Comparative Neurology. 500(5), 908–922.","short":"E. Kuramoto, F. Fujiyama, T. Unzai, K. Nakamura, H. Hioki, T. Furuta, R. Shigemoto, F. Ferraguti, T. Kaneko, Journal of Comparative Neurology 500 (2007) 908–922.","chicago":"Kuramoto, Eriko, Fumino Fujiyama, Tomo Unzai, Kouichi Nakamura, Hiroyuki Hioki, Takahiro Furuta, Ryuichi Shigemoto, Francesco Ferraguti, and Takeshi Kaneko. “Metabotropic Glutamate Receptor 4-Immunopositive Terminals of Medium-Sized Spiny Neurons Selectively Form Synapses with Cholinergic Interneurons in the Rat Neostriatum.” <i>Journal of Comparative Neurology</i>. Wiley-Blackwell, 2007. <a href=\"https://doi.org/10.1002/cne.21216\">https://doi.org/10.1002/cne.21216</a>.","ieee":"E. Kuramoto <i>et al.</i>, “Metabotropic glutamate receptor 4-immunopositive terminals of medium-sized spiny neurons selectively form synapses with cholinergic interneurons in the rat neostriatum,” <i>Journal of Comparative Neurology</i>, vol. 500, no. 5. Wiley-Blackwell, pp. 908–922, 2007.","ama":"Kuramoto E, Fujiyama F, Unzai T, et al. Metabotropic glutamate receptor 4-immunopositive terminals of medium-sized spiny neurons selectively form synapses with cholinergic interneurons in the rat neostriatum. <i>Journal of Comparative Neurology</i>. 2007;500(5):908-922. doi:<a href=\"https://doi.org/10.1002/cne.21216\">10.1002/cne.21216</a>","mla":"Kuramoto, Eriko, et al. “Metabotropic Glutamate Receptor 4-Immunopositive Terminals of Medium-Sized Spiny Neurons Selectively Form Synapses with Cholinergic Interneurons in the Rat Neostriatum.” <i>Journal of Comparative Neurology</i>, vol. 500, no. 5, Wiley-Blackwell, 2007, pp. 908–22, doi:<a href=\"https://doi.org/10.1002/cne.21216\">10.1002/cne.21216</a>."},"abstract":[{"text":"Metabotropic glutamate receptor 4 (mGluR4) is localized mainly to presynaptic membranes in the brain. Rat neostriatum has been reported to contain two types of mGluR4-immunoreactive axon varicosities: small, weakly immunoreactive varicosities that were distributed randomly (type 1) and large, intensely immunoreactive ones that were often aligned linearly (type 2). In the present study, most type 1 terminals formed asymmetric synapses on dendritic spines, whereas type 2 terminals made symmetric synapses on dendritic shafts, showing immunoreactivity for GABAergic markers. After depletion of neostriatal neurons, type 2 but not type 1 varicosities were largely decreased in the damaged region. When medium-sized spiny neurons (MSNs) were labeled with Sindbis virus expressing membrane-targeted green fluorescent protein, mGluR4 immunoreactivity was observed on some varicosities of their axon collaterals in immunofluorescence and immunoelectron microscopies. Furthermore, type 2 varicosities were often positive for substance P but mostly negative for striatal interneuron markers and preproenkephalin. Thus, striatonigral/striato- entopeduncular MSNs are likely to be the largest source of type 2 mGluR4-immunopositive axon terminals in the neostriatum. Next, in the double-immunofluorescence study, almost all choline acetyltransferase (ChAT)-immunopositive and 41% of NK1 receptor-positive dendrites were heavily associated with type 2 mGluR4-immunoreactive varicosities. Neuronal nitric oxide synthase (nNOS)-positive dendrites, in contrast, seemed associated with only a few type 2 varicosities. Conversely, almost all type 2 varicosities were closely apposed to NK1 receptor-positive dendrites that were known to be derived from cholinergic and nNOS-producing interneurons. These findings indicate that the mGluR4-positive terminals of MSN axon collaterals selectively form synapses with neostriatal cholinergic interneurons.","lang":"eng"}],"month":"02","type":"journal_article","volume":500,"date_created":"2018-12-11T11:58:00Z","date_published":"2007-02-10T00:00:00Z","intvolume":"       500","publisher":"Wiley-Blackwell","quality_controlled":0,"doi":"10.1002/cne.21216","status":"public","issue":"5","extern":1,"publication_status":"published","year":"2007","date_updated":"2021-01-12T06:57:49Z","author":[{"first_name":"Eriko","full_name":"Kuramoto, Eriko","last_name":"Kuramoto"},{"full_name":"Fujiyama, Fumino","last_name":"Fujiyama","first_name":"Fumino"},{"last_name":"Unzai","full_name":"Unzai, Tomo","first_name":"Tomo"},{"first_name":"Kouichi","last_name":"Nakamura","full_name":"Nakamura, Kouichi"},{"full_name":"Hioki, Hiroyuki","last_name":"Hioki","first_name":"Hiroyuki"},{"last_name":"Furuta","full_name":"Furuta, Takahiro","first_name":"Takahiro"},{"orcid":"0000-0001-8761-9444","first_name":"Ryuichi","last_name":"Shigemoto","full_name":"Ryuichi Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Ferraguti","first_name":"Francesco","full_name":"Ferraguti, Francesco"},{"last_name":"Kaneko","first_name":"Takeshi","full_name":"Kaneko, Takeshi"}],"publist_id":"4406","publication":"Journal of Comparative Neurology"},{"quality_controlled":0,"doi":"10.1007/s00441-006-0351-9","status":"public","issue":"1","publication_status":"published","extern":1,"date_updated":"2021-01-12T06:57:50Z","year":"2007","author":[{"first_name":"Takashi","full_name":"Toyono, Takashi","last_name":"Toyono"},{"full_name":"Kataoka, Shinji","first_name":"Shinji","last_name":"Kataoka"},{"first_name":"Yuji","full_name":"Seta, Yuji","last_name":"Seta"},{"first_name":"Ryuichi","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","last_name":"Shigemoto","full_name":"Ryuichi Shigemoto","orcid":"0000-0001-8761-9444"},{"full_name":"Toyoshima, Kuniaki","first_name":"Kuniaki","last_name":"Toyoshima"}],"publist_id":"4405","publication":"Cell and Tissue Research","date_created":"2018-12-11T11:58:00Z","date_published":"2007-04-01T00:00:00Z","intvolume":"       328","publisher":"Springer","month":"04","type":"journal_article","volume":328,"day":"01","_id":"2496","title":"Expression of group II metabotropic glutamate receptors in rat gustatory papillae","page":"57 - 63","abstract":[{"text":"Glutamate is one candidate for the neurotransmitters and/or neuromodulators involved in taste signaling in taste buds. Group II metabotropic glutamate receptors (mGluRs: mGluR2 and mGluR3) are known to function as presynaptic receptors that regulate the release of glutamate and/or other neurotransmitters in the central nervous system. Group II mGluRs are negatively linked to adenylyl cyclase through Gαi subunits and thereby reduce the turnover of cAMP. In rat taste tissues, a subset of adenylyl-cyclase-8-expressing taste cells coexpress the Gαi subunits gustducin and Gαi2. However, the expression patterns of group II mGluRs in rat taste tissues have not yet been elucidated. We have therefore examined the expression patterns of mGluR2, mGluR3, and gustducin in rat gustatory tissues. Reverse transcription/polymerase chain reaction assays have revealed that mGluR2 and mGluR3 mRNAs are expressed in the circumvallate papillae. In situ hybridization analyses have detected positive signals for mGluR2 and mGluR3 mRNAs only in the circumvallate taste buds. Among the fungiform, foliate, and circumvallate papillae, an antibody against mGluR2/3 labels a subset of taste bud cells and nerve fibers immediately beneath the taste lingual epithelium. Double-labeling experiments have demonstrated that mGluR2/3-positive cells coexpress gustducin. These results indicate that mGluR2 and mGluR3 are coupled to Gαi subunits and play roles in glutamate-mediated signaling in taste transductions.","lang":"eng"}],"citation":{"short":"T. Toyono, S. Kataoka, Y. Seta, R. Shigemoto, K. Toyoshima, Cell and Tissue Research 328 (2007) 57–63.","apa":"Toyono, T., Kataoka, S., Seta, Y., Shigemoto, R., &#38; Toyoshima, K. (2007). Expression of group II metabotropic glutamate receptors in rat gustatory papillae. <i>Cell and Tissue Research</i>. Springer. <a href=\"https://doi.org/10.1007/s00441-006-0351-9\">https://doi.org/10.1007/s00441-006-0351-9</a>","ista":"Toyono T, Kataoka S, Seta Y, Shigemoto R, Toyoshima K. 2007. Expression of group II metabotropic glutamate receptors in rat gustatory papillae. Cell and Tissue Research. 328(1), 57–63.","chicago":"Toyono, Takashi, Shinji Kataoka, Yuji Seta, Ryuichi Shigemoto, and Kuniaki Toyoshima. “Expression of Group II Metabotropic Glutamate Receptors in Rat Gustatory Papillae.” <i>Cell and Tissue Research</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s00441-006-0351-9\">https://doi.org/10.1007/s00441-006-0351-9</a>.","ama":"Toyono T, Kataoka S, Seta Y, Shigemoto R, Toyoshima K. Expression of group II metabotropic glutamate receptors in rat gustatory papillae. <i>Cell and Tissue Research</i>. 2007;328(1):57-63. doi:<a href=\"https://doi.org/10.1007/s00441-006-0351-9\">10.1007/s00441-006-0351-9</a>","ieee":"T. Toyono, S. Kataoka, Y. Seta, R. Shigemoto, and K. Toyoshima, “Expression of group II metabotropic glutamate receptors in rat gustatory papillae,” <i>Cell and Tissue Research</i>, vol. 328, no. 1. Springer, pp. 57–63, 2007.","mla":"Toyono, Takashi, et al. “Expression of Group II Metabotropic Glutamate Receptors in Rat Gustatory Papillae.” <i>Cell and Tissue Research</i>, vol. 328, no. 1, Springer, 2007, pp. 57–63, doi:<a href=\"https://doi.org/10.1007/s00441-006-0351-9\">10.1007/s00441-006-0351-9</a>."}}]