[{"publisher":"ACM","day":"01","date_published":"2011-12-01T00:00:00Z","abstract":[{"text":"Acquiring panoramic images using stitching takes a lot of time and moving objects may cause ghosting. It is also difficult to obtain a full spherical panorama, because the downward picture cannot be captured while the camera is mounted on the tripod.","lang":"eng"}],"publist_id":"4934","doi":"10.1145/2073370.2073373","date_created":"2018-12-11T11:55:43Z","publication_status":"published","quality_controlled":0,"author":[{"last_name":"Pfeil","first_name":"Jonas","full_name":"Pfeil, Jonas"},{"full_name":"Hildebrand, Kristian","first_name":"Kristian","last_name":"Hildebrand"},{"last_name":"Gremzow","first_name":"Carsten","full_name":"Gremzow, Carsten"},{"id":"49876194-F248-11E8-B48F-1D18A9856A87","last_name":"Bickel","full_name":"Bernd Bickel","first_name":"Bernd","orcid":"0000-0001-6511-9385"},{"last_name":"Alexa","first_name":"Marc","full_name":"Alexa, Marc"}],"status":"public","extern":1,"citation":{"apa":"Pfeil, J., Hildebrand, K., Gremzow, C., Bickel, B., &#38; Alexa, M. (2011). Throwable panoramic ball camera. Presented at the SIGGRAPH Asia, ACM. <a href=\"https://doi.org/10.1145/2073370.2073373\">https://doi.org/10.1145/2073370.2073373</a>","chicago":"Pfeil, Jonas, Kristian Hildebrand, Carsten Gremzow, Bernd Bickel, and Marc Alexa. “Throwable Panoramic Ball Camera.” ACM, 2011. <a href=\"https://doi.org/10.1145/2073370.2073373\">https://doi.org/10.1145/2073370.2073373</a>.","ama":"Pfeil J, Hildebrand K, Gremzow C, Bickel B, Alexa M. Throwable panoramic ball camera. In: ACM; 2011. doi:<a href=\"https://doi.org/10.1145/2073370.2073373\">10.1145/2073370.2073373</a>","short":"J. Pfeil, K. Hildebrand, C. Gremzow, B. Bickel, M. Alexa, in:, ACM, 2011.","mla":"Pfeil, Jonas, et al. <i>Throwable Panoramic Ball Camera</i>. ACM, 2011, doi:<a href=\"https://doi.org/10.1145/2073370.2073373\">10.1145/2073370.2073373</a>.","ieee":"J. Pfeil, K. Hildebrand, C. Gremzow, B. Bickel, and M. Alexa, “Throwable panoramic ball camera,” presented at the SIGGRAPH Asia, 2011.","ista":"Pfeil J, Hildebrand K, Gremzow C, Bickel B, Alexa M. 2011. Throwable panoramic ball camera. SIGGRAPH Asia."},"year":"2011","month":"12","date_updated":"2021-01-12T06:55:19Z","_id":"2100","type":"conference","conference":{"name":"SIGGRAPH Asia"},"title":"Throwable panoramic ball camera"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0911.4336 "}],"title":"Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators","date_updated":"2021-01-12T06:55:24Z","type":"book_chapter","_id":"2116","year":"2011","acknowledgement":"The authors are supported by VIDI subsidy 639.032.201 (JM) and VICI subsidy 639.033.604 (JvN) of the Netherlands Organisation for Scientific Research (NWO). ","intvolume":"        80","month":"06","page":"463 - 477","oa":1,"status":"public","author":[{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","full_name":"Jan Maas","first_name":"Jan","orcid":"0000-0002-0845-1338"},{"last_name":"Van Neerven","first_name":"Jan","full_name":"Van Neerven, Jan"}],"quality_controlled":0,"citation":{"mla":"Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” <i>Parabolic Problems</i>, vol. 80, Birkhäuser, 2011, pp. 463–77, doi:<a href=\"https://doi.org/10.1007/978-3-0348-0075-4_24\">10.1007/978-3-0348-0075-4_24</a>.","short":"J. Maas, J. Van Neerven, in:, Parabolic Problems, Birkhäuser, 2011, pp. 463–477.","ista":"Maas J, Van Neerven J. 2011.Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. vol. 80, 463–477.","ieee":"J. Maas and J. Van Neerven, “Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators,” in <i>Parabolic Problems</i>, vol. 80, Birkhäuser, 2011, pp. 463–477.","apa":"Maas, J., &#38; Van Neerven, J. (2011). Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In <i>Parabolic Problems</i> (Vol. 80, pp. 463–477). Birkhäuser. <a href=\"https://doi.org/10.1007/978-3-0348-0075-4_24\">https://doi.org/10.1007/978-3-0348-0075-4_24</a>","chicago":"Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” In <i>Parabolic Problems</i>, 80:463–77. Birkhäuser, 2011. <a href=\"https://doi.org/10.1007/978-3-0348-0075-4_24\">https://doi.org/10.1007/978-3-0348-0075-4_24</a>.","ama":"Maas J, Van Neerven J. Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: <i>Parabolic Problems</i>. Vol 80. Birkhäuser; 2011:463-477. doi:<a href=\"https://doi.org/10.1007/978-3-0348-0075-4_24\">10.1007/978-3-0348-0075-4_24</a>"},"extern":1,"doi":"10.1007/978-3-0348-0075-4_24","publication_status":"published","date_created":"2018-12-11T11:55:48Z","volume":80,"abstract":[{"lang":"eng","text":"Let P be the Ornstein-Uhlenbeck semigroup associated with the stochastic Cauchy problem  dU(t)=AU(t)dt+dWH(t), where A is the generator of a C 0-semigroup S on a Banach space E, H is a Hilbert subspace of E, and W H is an H-cylindrical Brownian motion. Assuming that S restricts to a C 0-semigroup on H, we obtain L p -bounds for D H P(t). We show that if P is analytic, then the invariance assumption is fulfilled. As an application we determine the L p -domain of the generator of P explicitly in the case where S restricts to a C 0-semigroup on H which is similar to an analytic contraction semigroup. The results are applied to the 1D stochastic heat equation driven by additive space-time white noise."}],"publist_id":"4918","day":"10","publisher":"Birkhäuser","date_published":"2011-06-10T00:00:00Z","publication":"Parabolic Problems"},{"issue":"2","oa":1,"page":"313 - 341","month":"07","year":"2011","acknowledgement":"The first named author is supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO). The second named author is supported by VICI subsidy 639.033.604 of the Netherlands Organisation for Scientific Research (NWO","intvolume":"        55","_id":"2122","type":"journal_article","date_updated":"2021-01-12T06:55:26Z","title":"Conical square functions and non-tangential maximal functions with respect to the Gaussian measure","main_file_link":[{"url":"http://arxiv.org/abs/1003.4092","open_access":"1"}],"publication":"Publicacions Matemàtiques","date_published":"2011-07-01T00:00:00Z","publisher":"Universitat Autònoma de Barcelona, Departament de Matemàtique","day":"01","publist_id":"4910","abstract":[{"text":"We study, in L1(R̃n; γ) with respect to the gaussian measure, non- tangential maximal functions and conical square functions associ- ated with the Ornstein-Uhlenbeck operator by developing a set of techniques which allow us, to some extent, to compensate for the non-doubling character of the gaussian measure. The main result asserts that conical square functions can be controlled in L1-norm by non-tangential maximal functions. Along the way we prove a change of aperture result for the latter. This complements recent results on gaussian Hardy spaces due to Mauceri and Meda.","lang":"eng"}],"volume":55,"publication_status":"published","date_created":"2018-12-11T11:55:50Z","doi":"10.5565/PUBLMAT_55211_03\t ","citation":{"short":"J. Maas, J. Van Neerven, P. Portal, Publicacions Matemàtiques 55 (2011) 313–341.","mla":"Maas, Jan, et al. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” <i>Publicacions Matemàtiques</i>, vol. 55, no. 2, Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011, pp. 313–41, doi:<a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">10.5565/PUBLMAT_55211_03  </a>.","ista":"Maas J, Van Neerven J, Portal P. 2011. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques. 55(2), 313–341.","ieee":"J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential maximal functions with respect to the Gaussian measure,” <i>Publicacions Matemàtiques</i>, vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique, pp. 313–341, 2011.","apa":"Maas, J., Van Neerven, J., &#38; Portal, P. (2011). Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. <i>Publicacions Matemàtiques</i>. Universitat Autònoma de Barcelona, Departament de Matemàtique. <a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">https://doi.org/10.5565/PUBLMAT_55211_03  </a>","chicago":"Maas, Jan, Jan Van Neerven, and Pierre Portal. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” <i>Publicacions Matemàtiques</i>. Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011. <a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">https://doi.org/10.5565/PUBLMAT_55211_03  </a>.","ama":"Maas J, Van Neerven J, Portal P. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. <i>Publicacions Matemàtiques</i>. 2011;55(2):313-341. doi:<a href=\"https://doi.org/10.5565/PUBLMAT_55211_03  \">10.5565/PUBLMAT_55211_03  </a>"},"extern":1,"status":"public","author":[{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","first_name":"Jan","full_name":"Jan Maas","orcid":"0000-0002-0845-1338"},{"full_name":"van Neerven, Jan M","first_name":"Jan","last_name":"Van Neerven"},{"last_name":"Portal","first_name":"Pierre","full_name":"Portal, Pierre"}],"quality_controlled":0},{"month":"01","intvolume":"        11","issue":"2","page":"405 - 427","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1005.0998"}],"type":"journal_article","language":[{"iso":"eng"}],"publist_id":"4911","abstract":[{"text":"We prove a Trotter product formula for gradient flows in metric spaces. This result is applied to establish convergence in the L 2-Wasserstein metric of the splitting method for some Fokker-Planck equations and porous medium type equations perturbed by a potential.","lang":"eng"}],"publication":"Journal of Evolution Equations","publisher":"Birkhäuser","citation":{"chicago":"Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” <i>Journal of Evolution Equations</i>. Birkhäuser, 2011. <a href=\"https://doi.org/10.1007/s00028-010-0096-5\">https://doi.org/10.1007/s00028-010-0096-5</a>.","apa":"Clément, P., &#38; Maas, J. (2011). A Trotter product formula for gradient flows in metric spaces. <i>Journal of Evolution Equations</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00028-010-0096-5\">https://doi.org/10.1007/s00028-010-0096-5</a>","ama":"Clément P, Maas J. A Trotter product formula for gradient flows in metric spaces. <i>Journal of Evolution Equations</i>. 2011;11(2):405-427. doi:<a href=\"https://doi.org/10.1007/s00028-010-0096-5\">10.1007/s00028-010-0096-5</a>","mla":"Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” <i>Journal of Evolution Equations</i>, vol. 11, no. 2, Birkhäuser, 2011, pp. 405–27, doi:<a href=\"https://doi.org/10.1007/s00028-010-0096-5\">10.1007/s00028-010-0096-5</a>.","short":"P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427.","ista":"Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 11(2), 405–427.","ieee":"P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” <i>Journal of Evolution Equations</i>, vol. 11, no. 2. Birkhäuser, pp. 405–427, 2011."},"publication_status":"published","year":"2011","acknowledgement":"The second named author is supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO).","oa":1,"article_processing_charge":"No","title":"A Trotter product formula for gradient flows in metric spaces","related_material":{"link":[{"url":"https://doi.org/10.1007/s00028-012-0173-z","relation":"erratum"}]},"_id":"2123","date_updated":"2021-11-16T08:05:46Z","date_published":"2011-01-21T00:00:00Z","day":"21","extern":"1","status":"public","author":[{"last_name":"Clément","first_name":"Philippe","full_name":"Clément, Philippe"},{"first_name":"Jan","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas"}],"oa_version":"None","volume":11,"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","date_created":"2018-12-11T11:55:51Z","doi":"10.1007/s00028-010-0096-5"},{"status":"public","author":[{"first_name":"Jan","full_name":"Jan Maas","orcid":"0000-0002-0845-1338","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas"}],"quality_controlled":0,"extern":1,"citation":{"ama":"Maas J. Gradient flows of the entropy for finite Markov chains. <i>Journal of Functional Analysis</i>. 2011;261(8):2250-2292. doi:<a href=\"https://doi.org/10.1016/j.jfa.2011.06.009 \">10.1016/j.jfa.2011.06.009 </a>","apa":"Maas, J. (2011). Gradient flows of the entropy for finite Markov chains. <i>Journal of Functional Analysis</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.jfa.2011.06.009 \">https://doi.org/10.1016/j.jfa.2011.06.009 </a>","chicago":"Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” <i>Journal of Functional Analysis</i>. Academic Press, 2011. <a href=\"https://doi.org/10.1016/j.jfa.2011.06.009 \">https://doi.org/10.1016/j.jfa.2011.06.009 </a>.","ista":"Maas J. 2011. Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. 261(8), 2250–2292.","ieee":"J. Maas, “Gradient flows of the entropy for finite Markov chains,” <i>Journal of Functional Analysis</i>, vol. 261, no. 8. Academic Press, pp. 2250–2292, 2011.","mla":"Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” <i>Journal of Functional Analysis</i>, vol. 261, no. 8, Academic Press, 2011, pp. 2250–92, doi:<a href=\"https://doi.org/10.1016/j.jfa.2011.06.009 \">10.1016/j.jfa.2011.06.009 </a>.","short":"J. Maas, Journal of Functional Analysis 261 (2011) 2250–2292."},"doi":"10.1016/j.jfa.2011.06.009 ","publication_status":"published","date_created":"2018-12-11T11:55:51Z","volume":261,"abstract":[{"lang":"eng","text":"Let K be an irreducible and reversible Markov kernel on a finite set X. We construct a metric W on the set of probability measures on X and show that with respect to this metric, the law of the continuous time Markov chain evolves as the gradient flow of the entropy. This result is a discrete counterpart of the Wasserstein gradient flow interpretation of the heat flow in Rn by Jordan, Kinderlehrer and Otto (1998). The metric W is similar to, but different from, the L2-Wasserstein metric, and is defined via a discrete variant of the Benamou–Brenier formula.\n"}],"publist_id":"4909","day":"04","publisher":"Academic Press","date_published":"2011-03-04T00:00:00Z","publication":"Journal of Functional Analysis","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1102.5238"}],"title":"Gradient flows of the entropy for finite Markov chains","date_updated":"2021-01-12T06:55:28Z","type":"journal_article","_id":"2126","year":"2011","intvolume":"       261","acknowledgement":"Supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO)","month":"03","page":"2250 - 2292","oa":1,"issue":"8"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1105.0761"}],"title":"Controlling a diatomic shape resonance with non-resonant light","type":"preprint","_id":"2138","date_updated":"2021-01-12T06:55:32Z","acknowledgement":"Financial support from the Deutsche Forschungsgemeinschaft (Grant No. KO 2301/2), by the Spanish project FIS2008-02380 (MICINN) as well as the Grants FQM-2445 and FQM-4643 (Junta de Andaluc´ıa), Campus de Excelencia Internacional Proyecto GENIL CEB09-0010","year":"2011","month":"05","oa":1,"extern":1,"citation":{"apa":"Ağanoğlu, R., Lemeshko, M., Friedrich, B., González Férez, R., &#38; Koch, C. (2011). Controlling a diatomic shape resonance with non-resonant light. <i>Unknown</i>. ArXiv.","chicago":"Ağanoğlu, Ruzin, Mikhail Lemeshko, Břetislav Friedrich, Rosario González Férez, and Christiane Koch. “Controlling a Diatomic Shape Resonance with Non-Resonant Light.” <i>Unknown</i>. ArXiv, 2011.","ama":"Ağanoğlu R, Lemeshko M, Friedrich B, González Férez R, Koch C. Controlling a diatomic shape resonance with non-resonant light. <i>Unknown</i>. 2011.","short":"R. Ağanoğlu, M. Lemeshko, B. Friedrich, R. González Férez, C. Koch, Unknown (2011).","mla":"Ağanoğlu, Ruzin, et al. “Controlling a Diatomic Shape Resonance with Non-Resonant Light.” <i>Unknown</i>, ArXiv, 2011.","ista":"Ağanoğlu R, Lemeshko M, Friedrich B, González Férez R, Koch C. 2011. Controlling a diatomic shape resonance with non-resonant light. Unknown, .","ieee":"R. Ağanoğlu, M. Lemeshko, B. Friedrich, R. González Férez, and C. Koch, “Controlling a diatomic shape resonance with non-resonant light,” <i>Unknown</i>. ArXiv, 2011."},"quality_controlled":0,"status":"public","author":[{"full_name":"Ağanoğlu, Ruzin","first_name":"Ruzin","last_name":"Ağanoğlu"},{"last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","full_name":"Mikhail Lemeshko"},{"last_name":"Friedrich","first_name":"Břetislav","full_name":"Friedrich, Břetislav"},{"full_name":"González-Férez, Rosario","first_name":"Rosario","last_name":"González Férez"},{"last_name":"Koch","full_name":"Koch, Christiane P","first_name":"Christiane"}],"date_created":"2018-12-11T11:55:55Z","publication_status":"published","abstract":[{"lang":"eng","text":"A (diatomic) shape resonance is a metastable state of a pair of colliding atoms quasi-bound by the centrifugal barrier imposed by the angular momentum involved in the collision. The temporary trapping of the atoms' scattering wavefunction corresponds to an enhanced atom pair density at low interatomic separations. This leads to larger overlap of the wavefunctions involved in a molecule formation process such as photoassociation, rendering the process more efficient. However, for an ensemble of atoms, the atom pair density will only be enhanced if the energy of the resonance comes close to the temperature of the atomic ensemble. Herein we explore the possibility of controlling the energy of a shape resonance by shifting it toward the temperature of atoms confined in a trap. The shifts are imparted by the interaction of non-resonant light with the anisotropic polarizability of the atom pair, which affects both the centrifugal barrier and the pair's rotational and vibrational levels. We find that at laser intensities of up to 5×109 W/cm2 the pair density is increased by one order of magnitude for 87Rb atoms at 100μK and by two orders of magnitude for 88Sr atoms at 20μK."}],"publist_id":"4886","publisher":"ArXiv","day":"04","publication":"Unknown","date_published":"2011-05-04T00:00:00Z"},{"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1104.1046"}],"title":"Shaping interactions between polar molecules with far-off-resonant light","date_updated":"2021-01-12T06:55:55Z","_id":"2198","type":"journal_article","year":"2011","intvolume":"        83","month":"05","oa":1,"issue":"5","author":[{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko","first_name":"Mikhail","full_name":"Mikhail Lemeshko","orcid":"0000-0002-6990-7802"}],"quality_controlled":0,"status":"public","citation":{"ama":"Lemeshko M. Shaping interactions between polar molecules with far-off-resonant light. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2011;83(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.83.051402\">10.1103/PhysRevA.83.051402</a>","chicago":"Lemeshko, Mikhail. “Shaping Interactions between Polar Molecules with Far-off-Resonant Light.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2011. <a href=\"https://doi.org/10.1103/PhysRevA.83.051402\">https://doi.org/10.1103/PhysRevA.83.051402</a>.","apa":"Lemeshko, M. (2011). Shaping interactions between polar molecules with far-off-resonant light. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.83.051402\">https://doi.org/10.1103/PhysRevA.83.051402</a>","ista":"Lemeshko M. 2011. Shaping interactions between polar molecules with far-off-resonant light. Physical Review A - Atomic, Molecular, and Optical Physics. 83(5).","ieee":"M. Lemeshko, “Shaping interactions between polar molecules with far-off-resonant light,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 83, no. 5. American Physical Society, 2011.","mla":"Lemeshko, Mikhail. “Shaping Interactions between Polar Molecules with Far-off-Resonant Light.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 83, no. 5, American Physical Society, 2011, doi:<a href=\"https://doi.org/10.1103/PhysRevA.83.051402\">10.1103/PhysRevA.83.051402</a>.","short":"M. Lemeshko, Physical Review A - Atomic, Molecular, and Optical Physics 83 (2011)."},"extern":1,"doi":"10.1103/PhysRevA.83.051402","date_created":"2018-12-11T11:56:17Z","publication_status":"published","volume":83,"abstract":[{"lang":"eng","text":"We show that dressing polar molecules with a far-off-resonant optical field leads to new types of intermolecular potentials, which undergo a crossover from the inverse power to oscillating behavior depending on the intermolecular distance, and whose parameters can be tuned by varying the laser intensity and wavelength. We present analytic expressions for the potential energy surfaces, thereby providing direct access to the parameters of an optical field required to design intermolecular interactions experimentally."}],"publist_id":"4775","publisher":"American Physical Society","day":"27","date_published":"2011-05-27T00:00:00Z","publication":"Physical Review A - Atomic, Molecular, and Optical Physics"},{"intvolume":"        83","acknowledgement":"ARO ","year":"2011","month":"04","oa":1,"issue":"4","main_file_link":[{"url":"http://arxiv.org/abs/1105.5262","open_access":"1"}],"title":"Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &quot;stretched&quot; states","_id":"2199","type":"journal_article","date_updated":"2021-01-12T06:55:56Z","abstract":[{"text":"By invoking supersymmetry, we found a condition under which the Stark-effect problem for a polar and polarizable molecule subject to nonresonant electric fields becomes exactly solvable for the family of stretched states. The analytic expressions for the wave function and eigenenergy and other expectation values allow one to readily reverse-engineer the problem of finding the values of the interaction parameters required for creating quantum states with preordained characteristics. The method also allows the construction of families of isospectral potentials, realizable with combined fields.","lang":"eng"}],"publist_id":"4776","day":"25","publisher":"American Physical Society","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","date_published":"2011-04-25T00:00:00Z","extern":1,"citation":{"chicago":"Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich. “Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect Problem for &#38;quot;Stretched&#38;quot; States.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2011. <a href=\"https://doi.org/10.1103/PhysRevA.83.043415\">https://doi.org/10.1103/PhysRevA.83.043415</a>.","apa":"Lemeshko, M., Mustafa, M., Kais, S., &#38; Friedrich, B. (2011). Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &#38;quot;stretched&#38;quot; states. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.83.043415\">https://doi.org/10.1103/PhysRevA.83.043415</a>","ama":"Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &#38;quot;stretched&#38;quot; states. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2011;83(4). doi:<a href=\"https://doi.org/10.1103/PhysRevA.83.043415\">10.1103/PhysRevA.83.043415</a>","mla":"Lemeshko, Mikhail, et al. “Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect Problem for &#38;quot;Stretched&#38;quot; States.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 83, no. 4, American Physical Society, 2011, doi:<a href=\"https://doi.org/10.1103/PhysRevA.83.043415\">10.1103/PhysRevA.83.043415</a>.","short":"M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical Physics 83 (2011).","ieee":"M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &#38;quot;stretched&#38;quot; states,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 83, no. 4. American Physical Society, 2011.","ista":"Lemeshko M, Mustafa M, Kais S, Friedrich B. 2011. Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &#38;quot;stretched&#38;quot; states. Physical Review A - Atomic, Molecular, and Optical Physics. 83(4)."},"author":[{"orcid":"0000-0002-6990-7802","full_name":"Mikhail Lemeshko","first_name":"Mikhail","last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Mustafa","first_name":"Mustafa","full_name":"Mustafa, Mustafa K"},{"last_name":"Kais","first_name":"Sabre","full_name":"Kais, Sabre"},{"last_name":"Friedrich","first_name":"Břetislav","full_name":"Friedrich, Břetislav"}],"quality_controlled":0,"status":"public","doi":"10.1103/PhysRevA.83.043415","volume":83,"publication_status":"published","date_created":"2018-12-11T11:56:17Z"},{"abstract":[{"text":"We made use of supersymmetric (SUSY) quantum mechanics to find the condition under which the Stark effect problem for a polar and polarizable closed-shell diatomic molecule subjected to collinear electrostatic and nonresonant radiative fields becomes exactly solvable. The condition Δω = ω2/4(m+1)2 connects values of the dimensionless parameters ω and Δω that characterize the strengths of the permanent and induced dipole interactions of the molecule with the respective fields. The exact solutions are obtained for the \\J̃ = m, m; ω, Δω) family of 'stretched' states. The field-free and strong-field limits of the combined-fields problem were found to exhibit supersymmetry and shape invariance, which is indeed the reason why they are analytically solvable. By making use of the analytic form of the \\J̃ = m,m; ω, Δω) wavefunctions, we obtained simple formulae for the expectation values of the space-fixed electric dipole moment, the alignment cosine and the angular momentum squared, and derived a 'sum rule' that combines the above expectation values into a formula for the eigenenergy. The analytic expressions for the characteristics of the strongly oriented and aligned states provide direct access to the values of the interaction parameters required for creating such states in the laboratory.","lang":"eng"}],"publist_id":"4774","day":"20","publisher":"IOP Publishing Ltd.","date_published":"2011-06-20T00:00:00Z","publication":"New Journal of Physics","quality_controlled":0,"status":"public","author":[{"last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6990-7802","first_name":"Mikhail","full_name":"Mikhail Lemeshko"},{"full_name":"Mustafa, Mustafa K","first_name":"Mustafa","last_name":"Mustafa"},{"last_name":"Kais","first_name":"Sabre","full_name":"Kais, Sabre"},{"last_name":"Friedrich","full_name":"Friedrich, Břetislav","first_name":"Břetislav"}],"extern":1,"citation":{"short":"M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, New Journal of Physics 13 (2011).","mla":"Lemeshko, Mikhail, et al. “Supersymmetry Identifies Molecular Stark States Whose Eigenproperties Can Be Obtained Analytically.” <i>New Journal of Physics</i>, vol. 13, IOP Publishing Ltd., 2011, doi:<a href=\"https://doi.org/10.1088/1367-2630/13/6/063036\">10.1088/1367-2630/13/6/063036</a>.","ieee":"M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically,” <i>New Journal of Physics</i>, vol. 13. IOP Publishing Ltd., 2011.","ista":"Lemeshko M, Mustafa M, Kais S, Friedrich B. 2011. Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically. New Journal of Physics. 13.","chicago":"Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich. “Supersymmetry Identifies Molecular Stark States Whose Eigenproperties Can Be Obtained Analytically.” <i>New Journal of Physics</i>. IOP Publishing Ltd., 2011. <a href=\"https://doi.org/10.1088/1367-2630/13/6/063036\">https://doi.org/10.1088/1367-2630/13/6/063036</a>.","apa":"Lemeshko, M., Mustafa, M., Kais, S., &#38; Friedrich, B. (2011). Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically. <i>New Journal of Physics</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1088/1367-2630/13/6/063036\">https://doi.org/10.1088/1367-2630/13/6/063036</a>","ama":"Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically. <i>New Journal of Physics</i>. 2011;13. doi:<a href=\"https://doi.org/10.1088/1367-2630/13/6/063036\">10.1088/1367-2630/13/6/063036</a>"},"doi":"10.1088/1367-2630/13/6/063036","publication_status":"published","date_created":"2018-12-11T11:56:17Z","volume":13,"acknowledgement":"SK thanks the ARO for financial support","intvolume":"        13","year":"2011","month":"06","oa":1,"main_file_link":[{"url":"http://arxiv.org/abs/1106.4402 ","open_access":"1"}],"title":"Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically","date_updated":"2021-01-12T06:55:57Z","type":"journal_article","_id":"2200"},{"citation":{"ama":"Novarino G, Akizu N, Gleeson J. Modeling human disease in humans: The ciliopathies. <i>Cell</i>. 2011;147(1):70-79. doi:<a href=\"https://doi.org/10.1016/j.cell.2011.09.014\">10.1016/j.cell.2011.09.014</a>","apa":"Novarino, G., Akizu, N., &#38; Gleeson, J. (2011). Modeling human disease in humans: The ciliopathies. <i>Cell</i>. Cell Press. <a href=\"https://doi.org/10.1016/j.cell.2011.09.014\">https://doi.org/10.1016/j.cell.2011.09.014</a>","chicago":"Novarino, Gaia, Naiara Akizu, and Joseph Gleeson. “Modeling Human Disease in Humans: The Ciliopathies.” <i>Cell</i>. Cell Press, 2011. <a href=\"https://doi.org/10.1016/j.cell.2011.09.014\">https://doi.org/10.1016/j.cell.2011.09.014</a>.","ista":"Novarino G, Akizu N, Gleeson J. 2011. Modeling human disease in humans: The ciliopathies. Cell. 147(1), 70–79.","ieee":"G. Novarino, N. Akizu, and J. Gleeson, “Modeling human disease in humans: The ciliopathies,” <i>Cell</i>, vol. 147, no. 1. Cell Press, pp. 70–79, 2011.","mla":"Novarino, Gaia, et al. “Modeling Human Disease in Humans: The Ciliopathies.” <i>Cell</i>, vol. 147, no. 1, Cell Press, 2011, pp. 70–79, doi:<a href=\"https://doi.org/10.1016/j.cell.2011.09.014\">10.1016/j.cell.2011.09.014</a>.","short":"G. Novarino, N. Akizu, J. Gleeson, Cell 147 (2011) 70–79."},"extern":1,"status":"public","author":[{"first_name":"Gaia","full_name":"Gaia Novarino","orcid":"0000-0002-7673-7178","id":"3E57A680-F248-11E8-B48F-1D18A9856A87","last_name":"Novarino"},{"last_name":"Akizu","full_name":"Akizu, Naiara","first_name":"Naiara"},{"last_name":"Gleeson","first_name":"Joseph","full_name":"Gleeson, Joseph G"}],"quality_controlled":0,"doi":"10.1016/j.cell.2011.09.014","volume":147,"publication_status":"published","date_created":"2018-12-11T11:56:55Z","abstract":[{"lang":"eng","text":"Soon, the genetic basis of most human Mendelian diseases will be solved. The next challenge will be to leverage this information to uncover basic mechanisms of disease and develop new therapies. To understand how this transformation is already beginning to unfold, we focus on the ciliopathies, a class of multi-organ diseases caused by disruption of the primary cilium. Through a convergence of data involving mutant gene discovery, proteomics, and cell biology, more than a dozen phenotypically distinguishable conditions are now united as ciliopathies. Sitting at the interface between simple and complex genetic conditions, these diseases provide clues to the future direction of human genetics."}],"publist_id":"4615","publisher":"Cell Press","day":"01","publication":"Cell","date_published":"2011-01-01T00:00:00Z","title":"Modeling human disease in humans: The ciliopathies","type":"review","_id":"2312","date_updated":"2019-04-26T07:22:10Z","intvolume":"       147","year":"2011","month":"01","page":"70 - 79","issue":"1"},{"date_published":"2011-05-26T00:00:00Z","day":"26","publisher":"World Scientific Publishing","publist_id":"4607","abstract":[{"lang":"eng","text":"The binding of polarons, or its absence, is an old and subtle topic. After defining the model we state some recent theorems of ours. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U = 2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multi-polaron binding of any kind. We also discuss the Pekar-Tomasevich approximation to the ground state energy, which is valid for large α. Finally, we derive exact results, not reported before, about the one-dimensional toy model introduced by E. P. Gross."}],"publication_status":"published","date_created":"2018-12-11T11:56:58Z","doi":"10.1142/9789814350365_0002","extern":1,"citation":{"ama":"Frank R, Lieb É, Seiringer R, Thomas L. Binding, stability, and non-binding of multi-polaron systems. In: World Scientific Publishing; 2011:21-32. doi:<a href=\"https://doi.org/10.1142/9789814350365_0002\">10.1142/9789814350365_0002</a>","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. <a href=\"https://doi.org/10.1142/9789814350365_0002\">https://doi.org/10.1142/9789814350365_0002</a>.","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2011). Binding, stability, and non-binding of multi-polaron systems (pp. 21–32). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814350365_0002\">https://doi.org/10.1142/9789814350365_0002</a>","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Binding, stability, and non-binding of multi-polaron systems,” presented at the QMath: Mathematical Results in Quantum Physics, 2011, pp. 21–32.","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2011. Binding, stability, and non-binding of multi-polaron systems. QMath: Mathematical Results in Quantum Physics, 21–32.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.","mla":"Frank, Rupert, et al. <i>Binding, Stability, and Non-Binding of Multi-Polaron Systems</i>. World Scientific Publishing, 2011, pp. 21–32, doi:<a href=\"https://doi.org/10.1142/9789814350365_0002\">10.1142/9789814350365_0002</a>."},"status":"public","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"},{"full_name":"Thomas, Lawrence E","first_name":"Lawrence","last_name":"Thomas"}],"quality_controlled":0,"oa":1,"page":"21 - 32","month":"05","year":"2011","conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"type":"conference","_id":"2320","date_updated":"2021-01-12T06:56:45Z","title":"Binding, stability, and non-binding of multi-polaron systems","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1010.0737"}]},{"publication_status":"published","date_created":"2018-12-11T11:56:59Z","volume":214,"doi":"10.1007/978-3-7643-9994-8_3","alternative_title":["Operator Theory: Advances and Applications"],"author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"full_name":"Laptev, Ari","first_name":"Ari","last_name":"Laptev"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert"}],"status":"public","quality_controlled":0,"extern":1,"citation":{"ieee":"R. Frank, A. Laptev, and R. Seiringer, “ A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials,” presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, 2011, vol. 214, pp. 39–44.","ista":"Frank R, Laptev A, Seiringer R. 2011.  A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials. OTAMP: Operator Theory, Analysis and Mathematical Physics, Operator Theory: Advances and Applications, vol. 214, 39–44.","mla":"Frank, Rupert, et al. <i> A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials</i>. Vol. 214, Springer, 2011, pp. 39–44, doi:<a href=\"https://doi.org/10.1007/978-3-7643-9994-8_3\">10.1007/978-3-7643-9994-8_3</a>.","short":"R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.","ama":"Frank R, Laptev A, Seiringer R.  A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials. In: Vol 214. Springer; 2011:39-44. doi:<a href=\"https://doi.org/10.1007/978-3-7643-9994-8_3\">10.1007/978-3-7643-9994-8_3</a>","chicago":"Frank, Rupert, Ari Laptev, and Robert Seiringer. “ A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials,” 214:39–44. Springer, 2011. <a href=\"https://doi.org/10.1007/978-3-7643-9994-8_3\">https://doi.org/10.1007/978-3-7643-9994-8_3</a>.","apa":"Frank, R., Laptev, A., &#38; Seiringer, R. (2011).  A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials (Vol. 214, pp. 39–44). Presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, Springer. <a href=\"https://doi.org/10.1007/978-3-7643-9994-8_3\">https://doi.org/10.1007/978-3-7643-9994-8_3</a>"},"date_published":"2011-03-31T00:00:00Z","publisher":"Springer","day":"31","publist_id":"4606","abstract":[{"lang":"eng","text":"We derive a sharp bound on the location of non-positive eigenvalues of Schrödinger operators on the half-line with complex-valued potentials."}],"conference":{"name":"OTAMP: Operator Theory, Analysis and Mathematical Physics"},"date_updated":"2021-01-12T06:56:46Z","type":"conference","_id":"2321","title":" A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0903.2053"}],"page":"39 - 44","oa":1,"month":"03","year":"2011","intvolume":"       214"},{"day":"19","publisher":"Birkhäuser","date_published":"2011-02-19T00:00:00Z","publication":"Archiv der Mathematik","abstract":[{"text":"For an irreducible polynomial in at most two variables the problem of representing power-free integers is investigated. ","lang":"eng"}],"publist_id":"7670","doi":"10.1007/s00013-011-0224-7","publication_status":"published","date_created":"2018-12-11T11:45:21Z","volume":96,"author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Timothy Browning","first_name":"Timothy D"}],"status":"public","quality_controlled":0,"citation":{"chicago":"Browning, Timothy D. “Power-Free Values of Polynomials.” <i>Archiv Der Mathematik</i>. Birkhäuser, 2011. <a href=\"https://doi.org/10.1007/s00013-011-0224-7\">https://doi.org/10.1007/s00013-011-0224-7</a>.","apa":"Browning, T. D. (2011). Power-free values of polynomials. <i>Archiv Der Mathematik</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00013-011-0224-7\">https://doi.org/10.1007/s00013-011-0224-7</a>","ama":"Browning TD. Power-free values of polynomials. <i>Archiv der Mathematik</i>. 2011;96(2):139-150. doi:<a href=\"https://doi.org/10.1007/s00013-011-0224-7\">10.1007/s00013-011-0224-7</a>","short":"T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150.","mla":"Browning, Timothy D. “Power-Free Values of Polynomials.” <i>Archiv Der Mathematik</i>, vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:<a href=\"https://doi.org/10.1007/s00013-011-0224-7\">10.1007/s00013-011-0224-7</a>.","ieee":"T. D. Browning, “Power-free values of polynomials,” <i>Archiv der Mathematik</i>, vol. 96, no. 2. Birkhäuser, pp. 139–150, 2011.","ista":"Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150."},"extern":1,"page":"139 - 150","issue":"2","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","year":"2011","intvolume":"        96","month":"02","date_updated":"2021-01-12T06:56:49Z","type":"journal_article","_id":"233","title":"Power-free values of polynomials"},{"date_published":"2011-01-01T00:00:00Z","publication":"Journal de Theorie des Nombres de Bordeaux","day":"01","publisher":"Universite de Bordeaux","publist_id":"7671","abstract":[{"lang":"eng","text":"We investigate the average order of the divisor function at values of binary cubic forms that are reducible over Q and discuss some applications."}],"publication_status":"published","date_created":"2018-12-11T11:45:21Z","volume":23,"doi":"10.5802/jtnb.778","status":"public","author":[{"first_name":"Timothy D","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"}],"quality_controlled":0,"citation":{"ista":"Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.","ieee":"T. D. Browning, “The divisor problem for binary cubic forms,” <i>Journal de Theorie des Nombres de Bordeaux</i>, vol. 23, no. 3. Universite de Bordeaux, pp. 579–602, 2011.","short":"T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 23 (2011) 579–602.","mla":"Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” <i>Journal de Theorie Des Nombres de Bordeaux</i>, vol. 23, no. 3, Universite de Bordeaux, 2011, pp. 579–602, doi:<a href=\"https://doi.org/10.5802/jtnb.778\">10.5802/jtnb.778</a>.","ama":"Browning TD. The divisor problem for binary cubic forms. <i>Journal de Theorie des Nombres de Bordeaux</i>. 2011;23(3):579-602. doi:<a href=\"https://doi.org/10.5802/jtnb.778\">10.5802/jtnb.778</a>","apa":"Browning, T. D. (2011). The divisor problem for binary cubic forms. <i>Journal de Theorie Des Nombres de Bordeaux</i>. Universite de Bordeaux. <a href=\"https://doi.org/10.5802/jtnb.778\">https://doi.org/10.5802/jtnb.778</a>","chicago":"Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” <i>Journal de Theorie Des Nombres de Bordeaux</i>. Universite de Bordeaux, 2011. <a href=\"https://doi.org/10.5802/jtnb.778\">https://doi.org/10.5802/jtnb.778</a>."},"extern":1,"issue":"3","page":"579 - 602","month":"01","intvolume":"        23","year":"2011","date_updated":"2021-01-12T06:56:53Z","type":"journal_article","_id":"234","title":"The divisor problem for binary cubic forms"},{"oa_version":"None","citation":{"apa":"Browning, T. D., &#38; Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. <i>Illinois Journal of Mathematics</i>. University of Illinois Press.","chicago":"Browning, Timothy D, and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” <i>Illinois Journal of Mathematics</i>. University of Illinois Press, 2011.","ama":"Browning TD, Elsholtz C. The number of representations of rationals as a sum of unit fractions. <i>Illinois Journal of Mathematics</i>. 2011;55(2):685-696.","mla":"Browning, Timothy D., and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” <i>Illinois Journal of Mathematics</i>, vol. 55, no. 2, University of Illinois Press, 2011, pp. 685–96.","short":"T.D. Browning, C. Elsholtz, Illinois Journal of Mathematics 55 (2011) 685–696.","ieee":"T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,” <i>Illinois Journal of Mathematics</i>, vol. 55, no. 2. University of Illinois Press, pp. 685–696, 2011.","ista":"Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696."},"extern":"1","quality_controlled":"1","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Browning, Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Elsholtz","full_name":"Elsholtz, Christian","first_name":"Christian"}],"status":"public","article_type":"original","volume":55,"publication_status":"published","date_created":"2018-12-11T11:45:21Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"For given positive integers m and n, we consider the frequency of representations of m/n as a sum of unit fractions."}],"language":[{"iso":"eng"}],"publist_id":"7669","publisher":"University of Illinois Press","day":"01","publication":"Illinois Journal of Mathematics","date_published":"2011-07-01T00:00:00Z","title":"The number of representations of rationals as a sum of unit fractions","article_processing_charge":"No","_id":"235","type":"journal_article","date_updated":"2021-01-12T06:56:57Z","intvolume":"        55","year":"2011","month":"07","page":"685 - 696","issue":"2"},{"month":"09","intvolume":"       160","year":"2011","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","issue":"1","page":"1 - 69","title":"Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration","type":"journal_article","_id":"236","date_updated":"2021-01-12T06:57:00Z","publist_id":"7668","abstract":[{"text":"An asymptotic formula is established for the number of Q-rational points of bounded height on a nonsingular quartic Del Pezzo surface with a conic bundle structure.","lang":"eng"}],"publication":"Duke Mathematical Journal","date_published":"2011-09-27T00:00:00Z","publisher":"Duke University Press","day":"27","citation":{"chicago":"De La Bretèche, Régis, and Timothy D Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” <i>Duke Mathematical Journal</i>. Duke University Press, 2011. <a href=\"https://doi.org/10.1215/00127094-1443466\">https://doi.org/10.1215/00127094-1443466</a>.","apa":"De La Bretèche, R., &#38; Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. <i>Duke Mathematical Journal</i>. Duke University Press. <a href=\"https://doi.org/10.1215/00127094-1443466\">https://doi.org/10.1215/00127094-1443466</a>","ama":"De La Bretèche R, Browning TD. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. <i>Duke Mathematical Journal</i>. 2011;160(1):1-69. doi:<a href=\"https://doi.org/10.1215/00127094-1443466\">10.1215/00127094-1443466</a>","mla":"De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” <i>Duke Mathematical Journal</i>, vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:<a href=\"https://doi.org/10.1215/00127094-1443466\">10.1215/00127094-1443466</a>.","short":"R. De La Bretèche, T.D. Browning, Duke Mathematical Journal 160 (2011) 1–69.","ista":"De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.","ieee":"R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration,” <i>Duke Mathematical Journal</i>, vol. 160, no. 1. Duke University Press, pp. 1–69, 2011."},"extern":1,"quality_controlled":0,"author":[{"full_name":"de la Bretèche, Régis","first_name":"Régis","last_name":"De La Bretèche"},{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning"}],"status":"public","volume":160,"publication_status":"published","date_created":"2018-12-11T11:45:21Z","doi":"10.1215/00127094-1443466"},{"title":"Least zero of a cubic form","type":"journal_article","_id":"239","date_updated":"2021-01-12T06:57:11Z","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","intvolume":"       352","year":"2011","month":"03","page":"745 - 778","issue":"3","extern":1,"citation":{"ama":"Browning TD, Dietmann R, Elliott P. Least zero of a cubic form. <i>Mathematische Annalen</i>. 2011;352(3):745-778. doi:<a href=\"https://doi.org/10.1007/s00208-011-0651-6\">10.1007/s00208-011-0651-6</a>","apa":"Browning, T. D., Dietmann, R., &#38; Elliott, P. (2011). Least zero of a cubic form. <i>Mathematische Annalen</i>. Springer. <a href=\"https://doi.org/10.1007/s00208-011-0651-6\">https://doi.org/10.1007/s00208-011-0651-6</a>","chicago":"Browning, Timothy D, Rainer Dietmann, and Peter Elliott. “Least Zero of a Cubic Form.” <i>Mathematische Annalen</i>. Springer, 2011. <a href=\"https://doi.org/10.1007/s00208-011-0651-6\">https://doi.org/10.1007/s00208-011-0651-6</a>.","ieee":"T. D. Browning, R. Dietmann, and P. Elliott, “Least zero of a cubic form,” <i>Mathematische Annalen</i>, vol. 352, no. 3. Springer, pp. 745–778, 2011.","ista":"Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.","mla":"Browning, Timothy D., et al. “Least Zero of a Cubic Form.” <i>Mathematische Annalen</i>, vol. 352, no. 3, Springer, 2011, pp. 745–78, doi:<a href=\"https://doi.org/10.1007/s00208-011-0651-6\">10.1007/s00208-011-0651-6</a>.","short":"T.D. Browning, R. Dietmann, P. Elliott, Mathematische Annalen 352 (2011) 745–778."},"author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Dietmann, Rainer","first_name":"Rainer","last_name":"Dietmann"},{"first_name":"Peter","full_name":"Elliott, Peter","last_name":"Elliott"}],"status":"public","quality_controlled":0,"doi":"10.1007/s00208-011-0651-6","volume":352,"publication_status":"published","date_created":"2018-12-11T11:45:22Z","abstract":[{"text":"An effective search bound is established for the least non-trivial integer zero of an arbitrary cubic form C ε ℤ[X 1,...,X n], provided that n ≥ 17.","lang":"eng"}],"publist_id":"7665","day":"06","publisher":"Springer","publication":"Mathematische Annalen","date_published":"2011-03-06T00:00:00Z"},{"doi":"10.1007/s10240-011-0031-5","volume":113,"publication_status":"published","date_created":"2018-12-11T11:57:23Z","citation":{"ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 113(1), 39–67.","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of binding for multi-polaron systems,” <i>Publications Mathematiques de l Institut des Hautes Etudes Scientifiques</i>, vol. 113, no. 1. Springer, pp. 39–67, 2011.","mla":"Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” <i>Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques</i>, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:<a href=\"https://doi.org/10.1007/s10240-011-0031-5\">10.1007/s10240-011-0031-5</a>.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Stability and absence of binding for multi-polaron systems. <i>Publications Mathematiques de l Institut des Hautes Etudes Scientifiques</i>. 2011;113(1):39-67. doi:<a href=\"https://doi.org/10.1007/s10240-011-0031-5\">10.1007/s10240-011-0031-5</a>","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2011). Stability and absence of binding for multi-polaron systems. <i>Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques</i>. Springer. <a href=\"https://doi.org/10.1007/s10240-011-0031-5\">https://doi.org/10.1007/s10240-011-0031-5</a>","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” <i>Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques</i>. Springer, 2011. <a href=\"https://doi.org/10.1007/s10240-011-0031-5\">https://doi.org/10.1007/s10240-011-0031-5</a>."},"extern":1,"status":"public","author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"last_name":"Lieb","full_name":"Lieb, Élliott H","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Thomas, Lawrence E","first_name":"Lawrence","last_name":"Thomas"}],"quality_controlled":0,"day":"01","publisher":"Springer","publication":"Publications Mathematiques de l Institut des Hautes Etudes Scientifiques","date_published":"2011-06-01T00:00:00Z","abstract":[{"text":"We resolve several longstanding problems concerning the stability and the absence of multi-particle binding for N≥2 polarons. Fröhlich's 1937 polaron model describes non-relativistic particles interacting with a scalar quantized field with coupling √α, and with each other by Coulomb repulsion of strength U. We prove the following: (i) While there is a known thermodynamic instability for U&lt;2α, stability of matter does hold for U&gt;2α, that is, the ground state energy per particle has a finite limit as N→∞. (ii) There is no binding of any kind if U exceeds a critical value that depends on α but not on N. The same results are shown to hold for the Pekar-Tomasevich model.","lang":"eng"}],"publist_id":"4534","_id":"2390","type":"journal_article","date_updated":"2021-01-12T06:57:12Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1004.4892"}],"title":"Stability and absence of binding for multi-polaron systems","oa":1,"page":"39 - 67","issue":"1","year":"2011","intvolume":"       113","month":"06"},{"year":"2011","intvolume":"       106","month":"01","oa":1,"issue":"15","main_file_link":[{"url":"http://arxiv.org/abs/1102.1414","open_access":"1"}],"title":"Energy cost to make a hole in the fermi sea","_id":"2391","type":"journal_article","date_updated":"2021-01-12T06:57:12Z","abstract":[{"lang":"eng","text":"The change in energy of an ideal Fermi gas when a local one-body potential is inserted into the system, or when the density is changed locally, are important quantities in condensed matter physics. We show that they can be rigorously bounded from below by a universal constant times the value given by the semiclassical approximation."}],"publist_id":"4535","day":"01","publisher":"American Physical Society","publication":"Physical Review Letters","date_published":"2011-01-01T00:00:00Z","extern":1,"citation":{"ama":"Frank R, Lewin M, Lieb É, Seiringer R. Energy cost to make a hole in the fermi sea. <i>Physical Review Letters</i>. 2011;106(15). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.106.150402\">10.1103/PhysRevLett.106.150402</a>","chicago":"Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” <i>Physical Review Letters</i>. American Physical Society, 2011. <a href=\"https://doi.org/10.1103/PhysRevLett.106.150402\">https://doi.org/10.1103/PhysRevLett.106.150402</a>.","apa":"Frank, R., Lewin, M., Lieb, É., &#38; Seiringer, R. (2011). Energy cost to make a hole in the fermi sea. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.106.150402\">https://doi.org/10.1103/PhysRevLett.106.150402</a>","ista":"Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in the fermi sea. Physical Review Letters. 106(15).","ieee":"R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole in the fermi sea,” <i>Physical Review Letters</i>, vol. 106, no. 15. American Physical Society, 2011.","mla":"Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” <i>Physical Review Letters</i>, vol. 106, no. 15, American Physical Society, 2011, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.106.150402\">10.1103/PhysRevLett.106.150402</a>.","short":"R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011)."},"status":"public","quality_controlled":0,"author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"full_name":"Lewin, Mathieu","first_name":"Mathieu","last_name":"Lewin"},{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","first_name":"Robert"}],"doi":"10.1103/PhysRevLett.106.150402","volume":106,"publication_status":"published","date_created":"2018-12-11T11:57:24Z"},{"issue":"2","oa":1,"page":"565 - 578","month":"09","intvolume":"       306","year":"2011","_id":"2393","type":"journal_article","date_updated":"2021-01-12T06:57:13Z","title":"The excitation spectrum for weakly interacting Bosons","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1008.5349"}],"publication":"Communications in Mathematical Physics","date_published":"2011-09-01T00:00:00Z","publisher":"Springer","day":"01","publist_id":"4533","abstract":[{"text":"We investigate the low energy excitation spectrum of a Bose gas with weak, long range repulsive interactions. In particular, we prove that the Bogoliubov spectrum of elementary excitations with linear dispersion relation for small momentum becomes exact in the mean-field limit.","lang":"eng"}],"volume":306,"date_created":"2018-12-11T11:57:24Z","publication_status":"published","doi":"10.1007/s00220-011-1261-6","extern":1,"citation":{"chicago":"Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” <i>Communications in Mathematical Physics</i>. Springer, 2011. <a href=\"https://doi.org/10.1007/s00220-011-1261-6\">https://doi.org/10.1007/s00220-011-1261-6</a>.","apa":"Seiringer, R. (2011). The excitation spectrum for weakly interacting Bosons. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-011-1261-6\">https://doi.org/10.1007/s00220-011-1261-6</a>","ama":"Seiringer R. The excitation spectrum for weakly interacting Bosons. <i>Communications in Mathematical Physics</i>. 2011;306(2):565-578. doi:<a href=\"https://doi.org/10.1007/s00220-011-1261-6\">10.1007/s00220-011-1261-6</a>","short":"R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.","mla":"Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” <i>Communications in Mathematical Physics</i>, vol. 306, no. 2, Springer, 2011, pp. 565–78, doi:<a href=\"https://doi.org/10.1007/s00220-011-1261-6\">10.1007/s00220-011-1261-6</a>.","ieee":"R. Seiringer, “The excitation spectrum for weakly interacting Bosons,” <i>Communications in Mathematical Physics</i>, vol. 306, no. 2. Springer, pp. 565–578, 2011.","ista":"Seiringer R. 2011. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 306(2), 565–578."},"author":[{"first_name":"Robert","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"quality_controlled":0,"status":"public"}]