[{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0712.2437v2"}],"abstract":[{"lang":"eng","text":"Recent work has shown that probabilistic models based on pairwise interactions-in the simplest case, the Ising model-provide surprisingly accurate descriptions of experiments on real biological networks ranging from neurons to genes. Finding these models requires us to solve an inverse problem: given experimentally measured expectation values, what are the parameters of the underlying Hamiltonian? This problem sits at the intersection of statistical physics and machine learning, and we suggest that more efficient solutions are possible by merging ideas from the two fields. We use a combination of recent coordinate descent algorithms with an adaptation of the histogram Monte Carlo method, and implement these techniques to take advantage of the sparseness found in data on real neurons. The resulting algorithm learns the parameters of an Ising model describing a network of forty neurons within a few minutes. This opens the possibility of analyzing much larger data sets now emerging, and thus testing hypotheses about the collective behaviors of these networks."}],"oa":1,"month":"01","date_published":"2007-01-01T00:00:00Z","publication_status":"published","date_updated":"2021-01-12T07:51:52Z","publist_id":"2486","publisher":"ArXiv","quality_controlled":0,"date_created":"2018-12-11T12:04:55Z","citation":{"chicago":"Broderick, Tamara, Miroslav Dudik, Gašper Tkačik, Robert Schapire, and William Bialek. “Faster Solutions of the Inverse Pairwise Ising Problem.” <i>ArXiv</i>. ArXiv, 2007.","short":"T. Broderick, M. Dudik, G. Tkačik, R. Schapire, W. Bialek, ArXiv q-QM (2007).","apa":"Broderick, T., Dudik, M., Tkačik, G., Schapire, R., &#38; Bialek, W. (2007). Faster solutions of the inverse pairwise Ising problem. <i>ArXiv</i>. ArXiv.","mla":"Broderick, Tamara, et al. “Faster Solutions of the Inverse Pairwise Ising Problem.” <i>ArXiv</i>, vol. q-QM, ArXiv, 2007.","ieee":"T. Broderick, M. Dudik, G. Tkačik, R. Schapire, and W. Bialek, “Faster solutions of the inverse pairwise Ising problem,” <i>ArXiv</i>, vol. q-QM. ArXiv, 2007.","ista":"Broderick T, Dudik M, Tkačik G, Schapire R, Bialek W. 2007. Faster solutions of the inverse pairwise Ising problem. ArXiv, q-QM, .","ama":"Broderick T, Dudik M, Tkačik G, Schapire R, Bialek W. Faster solutions of the inverse pairwise Ising problem. <i>ArXiv</i>. 2007;q-QM."},"extern":1,"publication":"ArXiv","_id":"3742","type":"preprint","author":[{"last_name":"Broderick","first_name":"Tamara","full_name":"Broderick,Tamara"},{"full_name":"Dudik,Miroslav","first_name":"Miroslav","last_name":"Dudik"},{"last_name":"Tkacik","first_name":"Gasper","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","full_name":"Gasper Tkacik","orcid":"0000-0002-6699-1455"},{"last_name":"Schapire","first_name":"Robert","full_name":"Schapire,Robert E"},{"full_name":"Bialek, William S","last_name":"Bialek","first_name":"William"}],"day":"01","year":"2007","title":"Faster solutions of the inverse pairwise Ising problem","volume":"q-bio.QM","status":"public"},{"page":"477 - 485","external_id":{"arxiv":["abs/q-bio/0602018"]},"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/q-bio/0602018"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","publisher":"Elsevier","date_updated":"2021-01-12T07:55:30Z","publist_id":"1881","oa":1,"abstract":[{"text":"We study a generalised model of population growth in which the state variable is population growth rate instead of population size. Stochastic parametric perturbations, modelling phenotypic variability, lead to a Langevin system with two sources of multiplicative noise. The stationary probability distributions have two characteristic power-law scales. Numerical simulations show that noise suppresses the explosion of the growth rate which occurs in the deterministic counterpart. Instead, in different parameter regimes populations will grow with &quot;anomalous&quot; stochastic rates and (i) stabilise at &quot;random carrying capacities&quot;, or (ii) go extinct in random times. Using logistic fits to reconstruct the simulated data, we find that even highly significant estimations do not recover or reflect information about the deterministic part of the process. Therefore, the logistic interpretation is not biologically meaningful. These results have implications for distinct model-aided calculations in biological situations because these kinds of estimations could lead to spurious conclusions. (c) 2006 Elsevier B.V. All rights reserved.","lang":"eng"}],"month":"01","date_published":"2007-01-01T00:00:00Z","author":[{"full_name":"de Vladar, Harold","orcid":"0000-0002-5985-7653","id":"2A181218-F248-11E8-B48F-1D18A9856A87","first_name":"Harold","last_name":"de Vladar"},{"first_name":"I.","last_name":"Pen","full_name":"Pen, I."}],"citation":{"ista":"de Vladar H, Pen I. 2007. Determinism, noise, and spurious estimations in a generalised model of population growth. Physica A. 373, 477–485.","ieee":"H. de Vladar and I. Pen, “Determinism, noise, and spurious estimations in a generalised model of population growth,” <i>Physica A</i>, vol. 373. Elsevier, pp. 477–485, 2007.","mla":"de Vladar, Harold, and I. Pen. “Determinism, Noise, and Spurious Estimations in a Generalised Model of Population Growth.” <i>Physica A</i>, vol. 373, Elsevier, 2007, pp. 477–85, doi:<a href=\"https://doi.org/10.1016/j.physa.2006.06.025\">10.1016/j.physa.2006.06.025</a>.","apa":"de Vladar, H., &#38; Pen, I. (2007). Determinism, noise, and spurious estimations in a generalised model of population growth. <i>Physica A</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.physa.2006.06.025\">https://doi.org/10.1016/j.physa.2006.06.025</a>","short":"H. de Vladar, I. Pen, Physica A 373 (2007) 477–485.","chicago":"Vladar, Harold de, and I. Pen. “Determinism, Noise, and Spurious Estimations in a Generalised Model of Population Growth.” <i>Physica A</i>. Elsevier, 2007. <a href=\"https://doi.org/10.1016/j.physa.2006.06.025\">https://doi.org/10.1016/j.physa.2006.06.025</a>.","ama":"de Vladar H, Pen I. Determinism, noise, and spurious estimations in a generalised model of population growth. <i>Physica A</i>. 2007;373:477-485. doi:<a href=\"https://doi.org/10.1016/j.physa.2006.06.025\">10.1016/j.physa.2006.06.025</a>"},"doi":"10.1016/j.physa.2006.06.025","date_created":"2018-12-11T12:07:45Z","oa_version":"Preprint","_id":"4234","type":"journal_article","article_processing_charge":"No","publication":"Physica A","extern":"1","title":"Determinism, noise, and spurious estimations in a generalised model of population growth","volume":373,"status":"public","arxiv":1,"intvolume":"       373","day":"01","year":"2007","language":[{"iso":"eng"}]},{"status":"public","title":"Multi scale capture of facial geometry and motion","year":"2007","day":"01","acknowledgement":"This research has been supported by the NCCR Co-Me of the Swiss National Science Foundation.","conference":{"name":"SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques"},"author":[{"full_name":"Bernd Bickel","orcid":"0000-0001-6511-9385","last_name":"Bickel","id":"49876194-F248-11E8-B48F-1D18A9856A87","first_name":"Bernd"},{"full_name":"Botsch, Mario","first_name":"Mario","last_name":"Botsch"},{"first_name":"Roland","last_name":"Angst","full_name":"Angst, Roland"},{"full_name":"Matusik, Wojciech","first_name":"Wojciech","last_name":"Matusik"},{"last_name":"Otaduy","first_name":"Miguel","full_name":"Otaduy, Miguel A"},{"full_name":"Pfister, Hanspeter","first_name":"Hanspeter","last_name":"Pfister"},{"full_name":"Groß, Markus S","last_name":"Groß","first_name":"Markus"}],"extern":1,"_id":"2091","type":"conference","date_created":"2018-12-11T11:55:39Z","quality_controlled":0,"doi":"doi:10.1145/1275808.1276419","citation":{"ieee":"B. Bickel <i>et al.</i>, “Multi scale capture of facial geometry and motion,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, 2007.","ista":"Bickel B, Botsch M, Angst R, Matusik W, Otaduy M, Pfister H, Groß M. 2007. Multi scale capture of facial geometry and motion. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques.","mla":"Bickel, Bernd, et al. <i>Multi Scale Capture of Facial Geometry and Motion</i>. ACM, 2007, doi:<a href=\"https://doi.org/doi:10.1145/1275808.1276419\">doi:10.1145/1275808.1276419</a>.","apa":"Bickel, B., Botsch, M., Angst, R., Matusik, W., Otaduy, M., Pfister, H., &#38; Groß, M. (2007). Multi scale capture of facial geometry and motion. Presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, ACM. <a href=\"https://doi.org/doi:10.1145/1275808.1276419\">https://doi.org/doi:10.1145/1275808.1276419</a>","chicago":"Bickel, Bernd, Mario Botsch, Roland Angst, Wojciech Matusik, Miguel Otaduy, Hanspeter Pfister, and Markus Groß. “Multi Scale Capture of Facial Geometry and Motion.” ACM, 2007. <a href=\"https://doi.org/doi:10.1145/1275808.1276419\">https://doi.org/doi:10.1145/1275808.1276419</a>.","short":"B. Bickel, M. Botsch, R. Angst, W. Matusik, M. Otaduy, H. Pfister, M. Groß, in:, ACM, 2007.","ama":"Bickel B, Botsch M, Angst R, et al. Multi scale capture of facial geometry and motion. In: ACM; 2007. doi:<a href=\"https://doi.org/doi:10.1145/1275808.1276419\">doi:10.1145/1275808.1276419</a>"},"publist_id":"4942","date_updated":"2021-01-12T06:55:15Z","publisher":"ACM","publication_status":"published","month":"01","date_published":"2007-01-01T00:00:00Z","abstract":[{"lang":"eng","text":"We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing. "}],"oa":1,"main_file_link":[{"open_access":"1","url":"http://nrs.harvard.edu/urn-3:HUL.InstRepos:4726184"}]},{"main_file_link":[{"url":"http://nrs.harvard.edu/urn-3:HUL.InstRepos:4726184","open_access":"1"}],"publication_status":"published","publisher":"ACM","publist_id":"4944","date_updated":"2021-01-12T06:55:15Z","oa":1,"abstract":[{"text":"We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing. ","lang":"eng"}],"date_published":"2007-01-01T00:00:00Z","month":"01","author":[{"orcid":"0000-0001-6511-9385","full_name":"Bernd Bickel","last_name":"Bickel","first_name":"Bernd","id":"49876194-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Botsch, Mario","first_name":"Mario","last_name":"Botsch"},{"first_name":"Roland","last_name":"Angst","full_name":"Angst, Roland"},{"first_name":"Wojciech","last_name":"Matusik","full_name":"Matusik, Wojciech"},{"first_name":"Miguel","last_name":"Otaduy","full_name":"Otaduy, Miguel A"},{"last_name":"Pfister","first_name":"Hanspeter","full_name":"Pfister, Hanspeter"},{"full_name":"Groß, Markus S","last_name":"Groß","first_name":"Markus"}],"acknowledgement":"This research has been supported by the NCCR Co-Me of the Swiss National Science Foundation","citation":{"ama":"Bickel B, Botsch M, Angst R, et al. Multi scale capture of facial geometry and motion. <i>ACM Transactions on Graphics</i>. 2007;26(3). doi:<a href=\"https://doi.org/10.1145/1276377.1276419\">10.1145/1276377.1276419</a>","ista":"Bickel B, Botsch M, Angst R, Matusik W, Otaduy M, Pfister H, Groß M. 2007. Multi scale capture of facial geometry and motion. ACM Transactions on Graphics. 26(3).","ieee":"B. Bickel <i>et al.</i>, “Multi scale capture of facial geometry and motion,” <i>ACM Transactions on Graphics</i>, vol. 26, no. 3. ACM, 2007.","mla":"Bickel, Bernd, et al. “Multi Scale Capture of Facial Geometry and Motion.” <i>ACM Transactions on Graphics</i>, vol. 26, no. 3, ACM, 2007, doi:<a href=\"https://doi.org/10.1145/1276377.1276419\">10.1145/1276377.1276419</a>.","apa":"Bickel, B., Botsch, M., Angst, R., Matusik, W., Otaduy, M., Pfister, H., &#38; Groß, M. (2007). Multi scale capture of facial geometry and motion. <i>ACM Transactions on Graphics</i>. ACM. <a href=\"https://doi.org/10.1145/1276377.1276419\">https://doi.org/10.1145/1276377.1276419</a>","short":"B. Bickel, M. Botsch, R. Angst, W. Matusik, M. Otaduy, H. Pfister, M. Groß, ACM Transactions on Graphics 26 (2007).","chicago":"Bickel, Bernd, Mario Botsch, Roland Angst, Wojciech Matusik, Miguel Otaduy, Hanspeter Pfister, and Markus Groß. “Multi Scale Capture of Facial Geometry and Motion.” <i>ACM Transactions on Graphics</i>. ACM, 2007. <a href=\"https://doi.org/10.1145/1276377.1276419\">https://doi.org/10.1145/1276377.1276419</a>."},"doi":"10.1145/1276377.1276419","date_created":"2018-12-11T11:55:40Z","quality_controlled":0,"issue":"3","_id":"2093","type":"journal_article","publication":"ACM Transactions on Graphics","extern":1,"volume":26,"title":"Multi scale capture of facial geometry and motion","status":"public","intvolume":"        26","day":"01","year":"2007"},{"quality_controlled":0,"date_created":"2018-12-11T11:55:49Z","citation":{"ama":"Maas J, Van Neerven J. On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions. <i>Archiv der Mathematik</i>. 2007;89(3):226-236. doi:<a href=\"https://doi.org/10.1007/s00013-007-2082-x\">10.1007/s00013-007-2082-x</a>","mla":"Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups in Infinite Dimensions.” <i>Archiv Der Mathematik</i>, vol. 89, no. 3, Birkhäuser, 2007, pp. 226–36, doi:<a href=\"https://doi.org/10.1007/s00013-007-2082-x\">10.1007/s00013-007-2082-x</a>.","ista":"Maas J, Van Neerven J. 2007. On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions. Archiv der Mathematik. 89(3), 226–236.","ieee":"J. Maas and J. Van Neerven, “On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions,” <i>Archiv der Mathematik</i>, vol. 89, no. 3. Birkhäuser, pp. 226–236, 2007.","chicago":"Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups in Infinite Dimensions.” <i>Archiv Der Mathematik</i>. Birkhäuser, 2007. <a href=\"https://doi.org/10.1007/s00013-007-2082-x\">https://doi.org/10.1007/s00013-007-2082-x</a>.","short":"J. Maas, J. Van Neerven, Archiv Der Mathematik 89 (2007) 226–236.","apa":"Maas, J., &#38; Van Neerven, J. (2007). On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions. <i>Archiv Der Mathematik</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00013-007-2082-x\">https://doi.org/10.1007/s00013-007-2082-x</a>"},"doi":"10.1007/s00013-007-2082-x","publication":"Archiv der Mathematik","extern":1,"_id":"2118","issue":"3","type":"journal_article","author":[{"last_name":"Maas","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0845-1338","full_name":"Jan Maas"},{"full_name":"van Neerven, Jan M","first_name":"Jan","last_name":"Van Neerven"}],"acknowledgement":"The authors are supported by the ‘VIDI subsidie’ 639.032.201 of the Netherlands Organization for Scientific Research (NWO) and by the Research Training Network HPRN-CT-2002-00281.","year":"2007","day":"06","volume":89,"title":"On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions","status":"public","intvolume":"        89","main_file_link":[{"open_access":"1","url":"http://repository.tudelft.nl/view/ir/uuid:c2cc3bd8-822b-4e72-ae42-1da0424e8a22/"}],"page":"226 - 236","abstract":[{"lang":"eng","text":"We extend to infinite dimensions an explicit formula of Chill, Fašangová, Metafune, and Pallara for the optimal angle of analyticity of analytic Ornstein-Uhlenbeck semigroups. The main ingredient is an abstract representation of the Ornstein-Uhlenbeck operator in divergence form. "}],"oa":1,"month":"08","date_published":"2007-08-06T00:00:00Z","publication_status":"published","date_updated":"2021-01-12T06:55:25Z","publist_id":"4916","publisher":"Birkhäuser"},{"file":[{"file_id":"6361","access_level":"open_access","date_created":"2019-04-30T08:27:34Z","content_type":"application/pdf","relation":"main_file","file_name":"2007_MichiganMath_Breteche.pdf","checksum":"37663dde30b00d2af8a2606c6630a82f","file_size":256111,"creator":"dernst","date_updated":"2020-07-14T12:45:32Z"}],"ddc":["510"],"oa":1,"external_id":{"arxiv":["math/0412086"]},"page":"51 - 80","language":[{"iso":"eng"}],"year":"2007","arxiv":1,"intvolume":"        55","has_accepted_license":"1","extern":"1","quality_controlled":"1","doi":"10.1307/mmj/1177681985","citation":{"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>.","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.","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.","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>.","short":"R. De La Bretèche, T.D. Browning, Michigan Mathematical Journal 55 (2007) 51–80.","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>","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>"},"month":"04","date_published":"2007-04-27T00:00:00Z","date_updated":"2021-01-12T06:56:00Z","publist_id":"7691","publisher":"Project Euclid","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"27","status":"public","volume":55,"title":"On Manin's conjecture for singular del Pezzo surfaces of degree four, I","file_date_updated":"2020-07-14T12:45:32Z","publication":"Michigan Mathematical Journal","issue":"1","_id":"221","type":"journal_article","date_created":"2018-12-11T11:45:17Z","oa_version":"Published Version","author":[{"full_name":"De La Bretèche, Régis","first_name":"Régis","last_name":"De La Bretèche"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D"}]},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0502510v4"}],"page":"579 - 605","month":"01","date_published":"2007-01-01T00:00:00Z","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"}],"oa":1,"publist_id":"7689","date_updated":"2021-01-12T06:56:05Z","publisher":"Unknown","publication_status":"published","extern":1,"publication":"Mathematical Proceedings of the Cambridge Philosophical Society","_id":"222","type":"journal_article","issue":"3","quality_controlled":0,"date_created":"2018-12-11T11:45:17Z","doi":"10.1017/S0305004107000205","citation":{"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>","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>.","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>","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>.","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.","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."},"acknowledgement":"GR/R93155/01","author":[{"full_name":"de la Bretèche, Régis","last_name":"De La Bretèche","first_name":"Régis"},{"full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"}],"day":"01","year":"2007","intvolume":"       143","status":"public","volume":143,"title":"On Manin's conjecture for singular del Pezzo surfaces of degree four, II"},{"year":"2007","day":"01","title":"Density of integer solutions to diagonal quadratic forms","volume":152,"status":"public","intvolume":"       152","citation":{"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>.","ista":"Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.","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.","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>.","short":"T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 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>","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>"},"doi":"10.1007/s00605-007-0457-5","date_created":"2018-12-11T11:45:17Z","quality_controlled":0,"_id":"223","type":"journal_article","issue":"1","publication":"Monatshefte fur Mathematik","extern":1,"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning"}],"oa":1,"abstract":[{"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.","lang":"eng"}],"month":"09","date_published":"2007-09-01T00:00:00Z","publication_status":"published","publisher":"Springer","publist_id":"7690","date_updated":"2021-01-12T06:56:09Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0603569"}],"page":"13 - 38"},{"main_file_link":[{"url":"http://arxiv.org/abs/0704.1435","open_access":"1"}],"page":"285 - 288","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."}],"oa":1,"date_published":"2007-06-01T00:00:00Z","month":"06","publication_status":"published","date_updated":"2021-01-12T06:57:03Z","publist_id":"4557","publisher":"Springer","quality_controlled":0,"date_created":"2018-12-11T11:57:15Z","doi":"10.1007/s11005-007-0159-x","citation":{"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>.","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.","ista":"Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288.","short":"R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.","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>.","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>","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>"},"publication":"Letters in Mathematical Physics","extern":1,"issue":"3","_id":"2367","type":"journal_article","author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer"}],"day":"01","year":"2007","volume":80,"title":"On the failure of subadditivity of the Wigner-Yanase entropy","intvolume":"        80","status":"public"},{"page":"389 - 399","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0610034","open_access":"1"}],"publication_status":"published","publisher":"Elsevier","publist_id":"4556","date_updated":"2021-01-12T06:57:04Z","oa":1,"abstract":[{"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.","lang":"eng"}],"date_published":"2007-06-01T00:00:00Z","month":"06","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"citation":{"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>","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>.","short":"É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 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>.","ista":"Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.","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."},"doi":"10.1016/S0034-4877(07)80074-7","quality_controlled":0,"date_created":"2018-12-11T11:57:16Z","_id":"2370","type":"journal_article","issue":"3","publication":"Reports on Mathematical Physics","extern":1,"title":"Bose-Einstein condensation and spontaneous symmetry breaking","volume":59,"status":"public","intvolume":"        59","day":"01","year":"2007"},{"author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"date_created":"2018-12-11T11:57:16Z","quality_controlled":0,"doi":"10.1007/s00220-007-0307-2","citation":{"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>","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>.","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>","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>.","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.","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."},"publication":"Communications in Mathematical Physics","extern":1,"type":"journal_article","_id":"2371","issue":"2","title":"Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value","volume":275,"intvolume":"       275","status":"public","day":"01","year":"2007","page":"479 - 489","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0610062"}],"publication_status":"published","publist_id":"4555","date_updated":"2021-01-12T06:57:05Z","publisher":"Springer","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."}],"oa":1,"month":"10","date_published":"2007-10-01T00:00:00Z"},{"status":"public","intvolume":"        76","volume":76,"title":"Müller's exchange-correlation energy in density-matrix-functional theory","year":"2007","day":"30","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Siedentop, Heinz K","first_name":"Heinz","last_name":"Siedentop"}],"extern":1,"publication":"Physical Review A - Atomic, Molecular, and Optical Physics","type":"journal_article","_id":"2372","issue":"5","quality_controlled":0,"date_created":"2018-12-11T11:57:17Z","doi":"10.1103/PhysRevA.76.052517","citation":{"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>","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>","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>.","short":"R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).","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.","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).","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>."},"publist_id":"4554","date_updated":"2021-01-12T06:57:05Z","publisher":"American Physical Society","publication_status":"published","date_published":"2007-11-30T00:00:00Z","month":"11","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,"main_file_link":[{"url":"http://arxiv.org/abs/0705.1587","open_access":"1"}]},{"year":"2007","day":"01","volume":17,"title":"The critical temperature for the BCS equation at weak coupling","intvolume":"        17","status":"public","date_created":"2018-12-11T11:57:17Z","quality_controlled":0,"doi":"10.1007/BF02937429","citation":{"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>","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.","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>.","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>","short":"R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.","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>."},"publication":"Journal of Geometric Analysis","extern":1,"type":"journal_article","_id":"2373","issue":"4","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"full_name":"Hainzl, Christian","last_name":"Hainzl","first_name":"Christian"},{"first_name":"Serguei","last_name":"Naboko","full_name":"Naboko, Serguei N"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521"}],"abstract":[{"lang":"eng","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."}],"oa":1,"date_published":"2007-01-01T00:00:00Z","month":"01","publication_status":"published","publist_id":"4553","date_updated":"2021-01-12T06:57:05Z","publisher":"Springer","main_file_link":[{"url":"http://arxiv.org/abs/0704.3564","open_access":"1"}],"page":"559 - 567"},{"publisher":"Springer","publist_id":"4552","date_updated":"2021-01-12T06:57:06Z","publication_status":"published","date_published":"2007-12-01T00:00:00Z","month":"12","oa":1,"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"}],"page":"107 - 116","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0710.1877"}],"intvolume":"        82","status":"public","volume":82,"title":"Number of bound states of Schrödinger operators with matrix-valued potentials","day":"01","year":"2007","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"_id":"2375","type":"journal_article","issue":"2-3","extern":1,"publication":"Letters in Mathematical Physics","doi":"10.1007/s11005-007-0211-x","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>","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>.","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>","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>.","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.","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."},"quality_controlled":0,"date_created":"2018-12-11T11:57:18Z"},{"title":"Recent developments in quantum mechanics with magnetic fields","volume":76,"intvolume":"        76","status":"public","year":"2007","day":"30","author":[{"orcid":"0000-0001-5366-9603","full_name":"László Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"}],"citation":{"ama":"Erdös L. Recent developments in quantum mechanics with magnetic fields. In: Gesztesy F, Deift P, Galvez P, Perry P, Schlag W, eds. <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday </i>. Vol 76. American Mathematical Society; 2007:401-428.","chicago":"Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic Fields.” In <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday </i>, edited by Fritz Gesztesy, Percy Deift, Percy Galvez, Peter Perry, and Wilhelm Schlag, 76:401–28. American Mathematical Society, 2007.","short":"L. Erdös, in:, F. Gesztesy, P. Deift, P. Galvez, P. Perry, W. Schlag (Eds.), Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday , American Mathematical Society, 2007, pp. 401–428.","apa":"Erdös, L. (2007). Recent developments in quantum mechanics with magnetic fields. In F. Gesztesy, P. Deift, P. Galvez, P. Perry, &#38; W. Schlag (Eds.), <i>Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon’s 60th Birthday </i> (Vol. 76, pp. 401–428). American Mathematical Society.","mla":"Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic Fields.” <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday </i>, edited by Fritz Gesztesy et al., vol. 76, American Mathematical Society, 2007, pp. 401–28.","ieee":"L. Erdös, “Recent developments in quantum mechanics with magnetic fields,” in <i>Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon’s 60th Birthday </i>, vol. 76, F. Gesztesy, P. Deift, P. Galvez, P. Perry, and W. Schlag, Eds. American Mathematical Society, 2007, pp. 401–428.","ista":"Erdös L. 2007.Recent developments in quantum mechanics with magnetic fields. In: Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon’s 60th Birthday . Proceedings of Symposia in Pure Mathematics, vol. 76, 401–428."},"date_created":"2018-12-11T11:59:10Z","quality_controlled":0,"type":"book_chapter","_id":"2705","publication":"Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon's 60th Birthday ","extern":1,"publication_status":"published","publisher":"American Mathematical Society","date_updated":"2021-01-12T06:59:10Z","publist_id":"4191","oa":1,"month":"03","date_published":"2007-03-30T00:00:00Z","alternative_title":["Proceedings of Symposia in Pure Mathematics"],"page":"401 - 428","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0510055v2"}],"editor":[{"full_name":"Gesztesy, Fritz","last_name":"Gesztesy","first_name":"Fritz"},{"full_name":"Deift, Percy","first_name":"Percy","last_name":"Deift"},{"full_name":"Galvez, Percy","last_name":"Galvez","first_name":"Percy"},{"full_name":"Perry, Peter","first_name":"Peter","last_name":"Perry"},{"full_name":"Schlag, Wilhelm","first_name":"Wilhelm","last_name":"Schlag"}]},{"year":"2007","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1469-3178"],"issn":["1469-221X"]},"pmid":1,"intvolume":"         8","citation":{"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>","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>.","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.","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>.","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.","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>"},"doi":"10.1038/sj.embor.7400889","quality_controlled":"1","extern":"1","oa":1,"keyword":["Genetics","Molecular Biology","Biochemistry"],"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."}],"page":"165-172","external_id":{"pmid":["17235358"]},"day":"19","title":"MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and postmitotic nuclear pore complex assembly","volume":8,"status":"public","date_created":"2022-04-07T07:56:13Z","oa_version":"Published Version","_id":"11116","issue":"2","type":"journal_article","article_processing_charge":"No","publication":"EMBO reports","author":[{"first_name":"Cerstin","last_name":"Franz","full_name":"Franz, Cerstin"},{"full_name":"Walczak, Rudolf","first_name":"Rudolf","last_name":"Walczak"},{"last_name":"Yavuz","first_name":"Sevil","full_name":"Yavuz, Sevil"},{"first_name":"Rachel","last_name":"Santarella","full_name":"Santarella, Rachel"},{"last_name":"Gentzel","first_name":"Marc","full_name":"Gentzel, Marc"},{"full_name":"Askjaer, Peter","last_name":"Askjaer","first_name":"Peter"},{"last_name":"Galy","first_name":"Vincent","full_name":"Galy, Vincent"},{"full_name":"HETZER, Martin W","orcid":"0000-0002-2111-992X","id":"86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed","first_name":"Martin W","last_name":"HETZER"},{"full_name":"Mattaj, Iain W","first_name":"Iain W","last_name":"Mattaj"},{"last_name":"Antonin","first_name":"Wolfram","full_name":"Antonin, Wolfram"}],"date_published":"2007-01-19T00:00:00Z","month":"01","article_type":"original","user_id":"72615eeb-f1f3-11ec-aa25-d4573ddc34fd","publication_status":"published","publisher":"EMBO","date_updated":"2022-07-18T08:56:40Z","main_file_link":[{"url":"https://doi.org/10.1038/sj.embor.7400889","open_access":"1"}],"scopus_import":"1"},{"_id":"1461","type":"journal_article","issue":"8","extern":1,"publication":"Proceedings of the American Mathematical Society","doi":"10.1090/S0002-9939-06-08248-7","citation":{"ama":"Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. <i>Proceedings of the American Mathematical Society</i>. 2006;134(8):2403-2409. doi:<a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">10.1090/S0002-9939-06-08248-7</a>","mla":"Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” <i>Proceedings of the American Mathematical Society</i>, vol. 134, no. 8, American Mathematical Society, 2006, pp. 2403–09, doi:<a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">10.1090/S0002-9939-06-08248-7</a>.","ieee":"T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,” <i>Proceedings of the American Mathematical Society</i>, vol. 134, no. 8. American Mathematical Society, pp. 2403–2409, 2006.","ista":"Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 134(8), 2403–2409.","chicago":"Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler Varieties.” <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society, 2006. <a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">https://doi.org/10.1090/S0002-9939-06-08248-7</a>.","short":"T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134 (2006) 2403–2409.","apa":"Hausel, T., &#38; Swartz, E. (2006). Intersection forms of toric hyperkähler varieties. <i>Proceedings of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/S0002-9939-06-08248-7\">https://doi.org/10.1090/S0002-9939-06-08248-7</a>"},"date_created":"2018-12-11T11:52:09Z","quality_controlled":0,"acknowledgement":"The first author was partly supported by NSF grant DMS-0072675. The second author was partly supported by a VIGRE postdoc under NSF grant number 9983660 to Cornell University.","author":[{"last_name":"Hausel","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Tamas Hausel"},{"full_name":"Swartz, Edward","last_name":"Swartz","first_name":"Edward"}],"day":"01","year":"2006","status":"public","intvolume":"       134","title":"Intersection forms of toric hyperkähler varieties","volume":134,"main_file_link":[{"url":"http://arxiv.org/abs/math/0306369","open_access":"1"}],"page":"2403 - 2409","month":"08","date_published":"2006-08-01T00:00:00Z","oa":1,"abstract":[{"text":"This note proves combinatorially that the intersection pairing on the middle-dimensional compactly supported cohomology of a toric hyperkähler variety is always definite, providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler metrics on these varieties. This is motivated by a result of Hitchin about the definiteness of the pairing of L 2 harmonic forms on complete hyperkähler manifolds of linear growth.","lang":"eng"}],"publisher":"American Mathematical Society","publist_id":"5733","date_updated":"2021-01-12T06:50:54Z","publication_status":"published"},{"acknowledgement":"This work was supported by a Royal Society University Research Fellowship, National Science Foundation Grant DMS-0305505, an Alfred P. Sloan Research Fellowship, and a Summer Research Assignment of the University of Texas at Austin.","author":[{"last_name":"Hausel","first_name":"Tamas","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","full_name":"Tamas Hausel"}],"issue":"16","_id":"1462","type":"journal_article","extern":1,"publication":"PNAS","doi":"10.1073/pnas.0601337103","citation":{"short":"T. Hausel, PNAS 103 (2006) 6120–6124.","chicago":"Hausel, Tamás. “Betti Numbers of Holomorphic Symplectic Quotients via Arithmetic Fourier Transform.” <i>PNAS</i>. National Academy of Sciences, 2006. <a href=\"https://doi.org/10.1073/pnas.0601337103\">https://doi.org/10.1073/pnas.0601337103</a>.","apa":"Hausel, T. (2006). Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. <i>PNAS</i>. National Academy of Sciences. <a href=\"https://doi.org/10.1073/pnas.0601337103\">https://doi.org/10.1073/pnas.0601337103</a>","mla":"Hausel, Tamás. “Betti Numbers of Holomorphic Symplectic Quotients via Arithmetic Fourier Transform.” <i>PNAS</i>, vol. 103, no. 16, National Academy of Sciences, 2006, pp. 6120–24, doi:<a href=\"https://doi.org/10.1073/pnas.0601337103\">10.1073/pnas.0601337103</a>.","ieee":"T. Hausel, “Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform,” <i>PNAS</i>, vol. 103, no. 16. National Academy of Sciences, pp. 6120–6124, 2006.","ista":"Hausel T. 2006. Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. PNAS. 103(16), 6120–6124.","ama":"Hausel T. Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. <i>PNAS</i>. 2006;103(16):6120-6124. doi:<a href=\"https://doi.org/10.1073/pnas.0601337103\">10.1073/pnas.0601337103</a>"},"date_created":"2018-12-11T11:52:10Z","quality_controlled":0,"status":"public","intvolume":"       103","volume":103,"title":"Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform","day":"18","year":"2006","page":"6120 - 6124","main_file_link":[{"url":"http://arxiv.org/abs/math/0511163","open_access":"1"}],"publisher":"National Academy of Sciences","publist_id":"5734","date_updated":"2021-01-12T06:50:55Z","publication_status":"published","month":"04","date_published":"2006-04-18T00:00:00Z","oa":1,"abstract":[{"text":"A Fourier transform technique is introduced for counting the number of solutions of holomorphic moment map equations over a finite field. This technique in turn gives information on Betti numbers of holomorphic symplectic quotients. As a consequence, simple unified proofs are obtained for formulas of Poincaré polynomials of toric hyperkähler varieties (recovering results of Bielawski-Dancer and Hausel-Sturmfels), Poincaré polynomials of Hubert schemes of points and twisted Atiyah-Drinfeld-Hitchin-Manin (ADHM) spaces of instantons on ℂ2 (recovering results of Nakajima-Yoshioka), and Poincaré polynomials of all Nakajima quiver varieties. As an application, a proof of a conjecture of Kac on the number of absolutely indecomposable representations of a quiver is announced.","lang":"eng"}]},{"author":[{"full_name":"Hosten, Onur","orcid":"0000-0002-2031-204X","last_name":"Hosten","first_name":"Onur","id":"4C02D85E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Rakher","first_name":"Matthew","full_name":"Rakher, Matthew"},{"full_name":"Barreiro, Julio","first_name":"Julio","last_name":"Barreiro"},{"full_name":"Peters, Nicholas","first_name":"Nicholas","last_name":"Peters"},{"last_name":"Kwiat","first_name":"Paul","full_name":"Kwiat, Paul"}],"oa_version":"Preprint","date_created":"2018-12-11T11:47:16Z","citation":{"ama":"Hosten O, Rakher M, Barreiro J, Peters N, Kwiat P. Counterfactual computation revisited. 2006.","apa":"Hosten, O., Rakher, M., Barreiro, J., Peters, N., &#38; Kwiat, P. (2006). Counterfactual computation revisited. ArXiv.","chicago":"Hosten, Onur, Matthew Rakher, Julio Barreiro, Nicholas Peters, and Paul Kwiat. “Counterfactual Computation Revisited.” ArXiv, 2006.","short":"O. Hosten, M. Rakher, J. Barreiro, N. Peters, P. Kwiat, (2006).","ista":"Hosten O, Rakher M, Barreiro J, Peters N, Kwiat P. 2006. Counterfactual computation revisited.","ieee":"O. Hosten, M. Rakher, J. Barreiro, N. Peters, and P. Kwiat, “Counterfactual computation revisited.” ArXiv, 2006.","mla":"Hosten, Onur, et al. <i>Counterfactual Computation Revisited</i>. ArXiv, 2006."},"extern":"1","_id":"573","type":"preprint","article_processing_charge":"No","title":"Counterfactual computation revisited","arxiv":1,"status":"public","day":"06","year":"2006","language":[{"iso":"eng"}],"page":"12","external_id":{"arxiv":["0607101"]},"main_file_link":[{"url":"https://arxiv.org/abs/quant-ph/0607101","open_access":"1"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publist_id":"7241","date_updated":"2020-05-12T08:23:52Z","publisher":"ArXiv","abstract":[{"text":"Mitchison and Jozsa recently suggested that the &quot;chained-Zeno&quot; counterfactual computation protocol recently proposed by Hosten et al. is counterfactual for only one output of the computer. This claim was based on the existing abstract algebraic definition of counterfactual computation, and indeed according to this definition, their argument is correct. However, a more general definition (physically adequate) for counterfactual computation is implicitly assumed by Hosten et. al. Here we explain in detail why the protocol is counterfactual and how the &quot;history tracking&quot; method of the existing description inadequately represents the physics underlying the protocol. Consequently, we propose a modified definition of counterfactual computation. Finally, we comment on one of the most interesting aspects of the error-correcting protocol. ","lang":"eng"}],"oa":1,"date_published":"2006-08-06T00:00:00Z","month":"08"},{"article_processing_charge":"No","_id":"574","type":"preprint","extern":"1","citation":{"ista":"Hosten O, Kwiat P. 2006. Weak measurements and counterfactual computation.","ieee":"O. Hosten and P. Kwiat, “Weak measurements and counterfactual computation.” ArXiv, 2006.","mla":"Hosten, Onur, and Paul Kwiat. <i>Weak Measurements and Counterfactual Computation</i>. ArXiv, 2006.","apa":"Hosten, O., &#38; Kwiat, P. (2006). Weak measurements and counterfactual computation. ArXiv.","chicago":"Hosten, Onur, and Paul Kwiat. “Weak Measurements and Counterfactual Computation.” ArXiv, 2006.","short":"O. Hosten, P. Kwiat, (2006).","ama":"Hosten O, Kwiat P. Weak measurements and counterfactual computation. 2006."},"oa_version":"Preprint","date_created":"2018-12-11T11:47:16Z","author":[{"orcid":"0000-0002-2031-204X","full_name":"Hosten, Onur","first_name":"Onur","id":"4C02D85E-F248-11E8-B48F-1D18A9856A87","last_name":"Hosten"},{"first_name":"Paul","last_name":"Kwiat","full_name":"Kwiat, Paul"}],"language":[{"iso":"eng"}],"day":"19","year":"2006","arxiv":1,"status":"public","title":"Weak measurements and counterfactual computation","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/quant-ph/0612159"}],"external_id":{"arxiv":["0612159"]},"page":"2","date_published":"2006-12-19T00:00:00Z","month":"12","oa":1,"abstract":[{"text":"Vaidman, in a recent article adopts the method of 'quantum weak measurements in pre- and postselected ensembles' to ascertain whether or not the chained-Zeno counterfactual computation scheme proposed by Hosten et al. is counterfactual; which has been the topic of a debate on the definition of counterfactuality. We disagree with his conclusion, which brings up some interesting aspects of quantum weak measurements and some concerns about the way they are interpreted. ","lang":"eng"}],"publisher":"ArXiv","publist_id":"7240","date_updated":"2020-05-12T08:18:01Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published"}]