--- _id: '2099' abstract: - lang: eng text: We present a new technique for passive and markerless facial performance capture based on anchor frames. Our method starts with high resolution per-frame geometry acquisition using state-of-theart stereo reconstruction, and proceeds to establish a single triangle mesh that is propagated through the entire performance. Leveraging the fact that facial performances often contain repetitive subsequences, we identify anchor frames as those which contain similar facial expressions to a manually chosen reference expression. Anchor frames are automatically computed over one or even multiple performances. We introduce a robust image-space tracking method that computes pixel matches directly from the reference frame to all anchor frames, and thereby to the remaining frames in the sequence via sequential matching. This allows us to propagate one reconstructed frame to an entire sequence in parallel, in contrast to previous sequential methods. Our anchored reconstruction approach also limits tracker drift and robustly handles occlusions and motion blur. The parallel tracking and mesh propagation offer low computation times. Our technique will even automatically match anchor frames across different sequences captured on different occasions, propagating a single mesh to all performances. author: - first_name: Thabo full_name: Beeler, Thabo last_name: Beeler - first_name: Fabian full_name: Hahn, Fabian last_name: Hahn - first_name: Derek full_name: Bradley, Derek J last_name: Bradley - first_name: Bernd full_name: Bernd Bickel id: 49876194-F248-11E8-B48F-1D18A9856A87 last_name: Bickel orcid: 0000-0001-6511-9385 - first_name: Paul full_name: Beardsley, Paul A last_name: Beardsley - first_name: Craig full_name: Gotsman, Craig last_name: Gotsman - first_name: Robert full_name: Sumner, Robert W last_name: Sumner - first_name: Markus full_name: Groß, Markus S last_name: Groß citation: ama: Beeler T, Hahn F, Bradley D, et al. High-quality passive facial performance capture using anchor frames. ACM Transactions on Graphics. 2011;30(4). doi:10.1145/2010324.1964970 apa: Beeler, T., Hahn, F., Bradley, D., Bickel, B., Beardsley, P., Gotsman, C., … Groß, M. (2011). High-quality passive facial performance capture using anchor frames. ACM Transactions on Graphics. ACM. https://doi.org/10.1145/2010324.1964970 chicago: Beeler, Thabo, Fabian Hahn, Derek Bradley, Bernd Bickel, Paul Beardsley, Craig Gotsman, Robert Sumner, and Markus Groß. “High-Quality Passive Facial Performance Capture Using Anchor Frames.” ACM Transactions on Graphics. ACM, 2011. https://doi.org/10.1145/2010324.1964970. ieee: T. Beeler et al., “High-quality passive facial performance capture using anchor frames,” ACM Transactions on Graphics, vol. 30, no. 4. ACM, 2011. ista: Beeler T, Hahn F, Bradley D, Bickel B, Beardsley P, Gotsman C, Sumner R, Groß M. 2011. High-quality passive facial performance capture using anchor frames. ACM Transactions on Graphics. 30(4). mla: Beeler, Thabo, et al. “High-Quality Passive Facial Performance Capture Using Anchor Frames.” ACM Transactions on Graphics, vol. 30, no. 4, ACM, 2011, doi:10.1145/2010324.1964970. short: T. Beeler, F. Hahn, D. Bradley, B. Bickel, P. Beardsley, C. Gotsman, R. Sumner, M. Groß, ACM Transactions on Graphics 30 (2011). date_created: 2018-12-11T11:55:42Z date_published: 2011-07-01T00:00:00Z date_updated: 2021-01-12T06:55:17Z day: '01' doi: 10.1145/2010324.1964970 extern: 1 intvolume: ' 30' issue: '4' month: '07' publication: ACM Transactions on Graphics publication_status: published publisher: ACM publist_id: '4936' quality_controlled: 0 status: public title: High-quality passive facial performance capture using anchor frames type: journal_article volume: 30 year: '2011' ... --- _id: '2098' abstract: - lang: eng text: This chapter presents a method for real-time animation of highly detailed facial expressions based on sparse motion captures data and a limited set of static example poses. The method for real-time animation of highly detailed facial expressions decomposes geometry into large-scale motion and fine-scale details, such as expression wrinkles. Both large- and fine-scale deformation algorithms run entirely on the GPU, and our implementation based on CUDA achieves an overall performance of about 30 fps. The face conveys the most relevant visual characteristics of human identity and expression. Hence, realistic facial animations or interactions with virtual avatars are important for storytelling and gameplay. However, current approaches are either computationally expensive, require very specialized capture hardware, or are extremely labor intensive. At runtime, given an arbitrary facial expression, the algorithm computes the skin strain from the relative distance between marker points and derives fine-scale corrections for the largescale deformation. During gameplay only the sparse set of marker-point positions is transmitted to the GPU. The face animation is entirely computed on the GPU where the resulting mesh can directly be used as input for the rendering stages. This data can be easily obtained by traditional capture hardware. The proposed in-game algorithm is fast. It also is easy to implement and maps well onto programmable GPUs. author: - first_name: Bernd full_name: Bernd Bickel id: 49876194-F248-11E8-B48F-1D18A9856A87 last_name: Bickel orcid: 0000-0001-6511-9385 - first_name: Manuel full_name: Lang, Manuel last_name: Lang citation: ama: 'Bickel B, Lang M. From sparse mocap to highly detailed facial animation. In: GPU Computing Gems Emerald Edition. Science Direct; 2011:413-426. doi:10.1016/B978-0-12-384988-5.00027-9' apa: Bickel, B., & Lang, M. (2011). From sparse mocap to highly detailed facial animation. In GPU Computing Gems Emerald Edition (pp. 413–426). Science Direct. https://doi.org/10.1016/B978-0-12-384988-5.00027-9 chicago: Bickel, Bernd, and Manuel Lang. “From Sparse Mocap to Highly Detailed Facial Animation.” In GPU Computing Gems Emerald Edition, 413–26. Science Direct, 2011. https://doi.org/10.1016/B978-0-12-384988-5.00027-9. ieee: B. Bickel and M. Lang, “From sparse mocap to highly detailed facial animation,” in GPU Computing Gems Emerald Edition, Science Direct, 2011, pp. 413–426. ista: 'Bickel B, Lang M. 2011.From sparse mocap to highly detailed facial animation. In: GPU Computing Gems Emerald Edition. , 413–426.' mla: Bickel, Bernd, and Manuel Lang. “From Sparse Mocap to Highly Detailed Facial Animation.” GPU Computing Gems Emerald Edition, Science Direct, 2011, pp. 413–26, doi:10.1016/B978-0-12-384988-5.00027-9. short: B. Bickel, M. Lang, in:, GPU Computing Gems Emerald Edition, Science Direct, 2011, pp. 413–426. date_created: 2018-12-11T11:55:42Z date_published: 2011-01-01T00:00:00Z date_updated: 2021-01-12T06:55:17Z day: '01' doi: 10.1016/B978-0-12-384988-5.00027-9 extern: 1 month: '01' page: 413 - 426 publication: GPU Computing Gems Emerald Edition publication_status: published publisher: Science Direct publist_id: '4935' quality_controlled: 0 status: public title: From sparse mocap to highly detailed facial animation type: book_chapter year: '2011' ... --- _id: '2100' abstract: - lang: eng 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. author: - first_name: Jonas full_name: Pfeil, Jonas last_name: Pfeil - first_name: Kristian full_name: Hildebrand, Kristian last_name: Hildebrand - first_name: Carsten full_name: Gremzow, Carsten last_name: Gremzow - first_name: Bernd full_name: Bernd Bickel id: 49876194-F248-11E8-B48F-1D18A9856A87 last_name: Bickel orcid: 0000-0001-6511-9385 - first_name: Marc full_name: Alexa, Marc last_name: Alexa citation: ama: 'Pfeil J, Hildebrand K, Gremzow C, Bickel B, Alexa M. Throwable panoramic ball camera. In: ACM; 2011. doi:10.1145/2073370.2073373' apa: Pfeil, J., Hildebrand, K., Gremzow, C., Bickel, B., & Alexa, M. (2011). Throwable panoramic ball camera. Presented at the SIGGRAPH Asia, ACM. https://doi.org/10.1145/2073370.2073373 chicago: Pfeil, Jonas, Kristian Hildebrand, Carsten Gremzow, Bernd Bickel, and Marc Alexa. “Throwable Panoramic Ball Camera.” ACM, 2011. https://doi.org/10.1145/2073370.2073373. 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. mla: Pfeil, Jonas, et al. Throwable Panoramic Ball Camera. ACM, 2011, doi:10.1145/2073370.2073373. short: J. Pfeil, K. Hildebrand, C. Gremzow, B. Bickel, M. Alexa, in:, ACM, 2011. conference: name: SIGGRAPH Asia date_created: 2018-12-11T11:55:43Z date_published: 2011-12-01T00:00:00Z date_updated: 2021-01-12T06:55:19Z day: '01' doi: 10.1145/2073370.2073373 extern: 1 month: '12' publication_status: published publisher: ACM publist_id: '4934' quality_controlled: 0 status: public title: Throwable panoramic ball camera type: conference year: '2011' ... --- _id: '2116' 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. 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). ' author: - first_name: Jan full_name: Jan Maas id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 - first_name: Jan full_name: Van Neerven, Jan last_name: Van Neerven citation: ama: 'Maas J, Van Neerven J. Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In: Parabolic Problems. Vol 80. Birkhäuser; 2011:463-477. doi:10.1007/978-3-0348-0075-4_24' apa: Maas, J., & Van Neerven, J. (2011). Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators. In Parabolic Problems (Vol. 80, pp. 463–477). Birkhäuser. https://doi.org/10.1007/978-3-0348-0075-4_24 chicago: Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” In Parabolic Problems, 80:463–77. Birkhäuser, 2011. https://doi.org/10.1007/978-3-0348-0075-4_24. ieee: J. Maas and J. Van Neerven, “Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators,” in Parabolic Problems, vol. 80, 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.' mla: Maas, Jan, and Jan Van Neerven. “Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators.” Parabolic Problems, vol. 80, Birkhäuser, 2011, pp. 463–77, doi:10.1007/978-3-0348-0075-4_24. short: J. Maas, J. Van Neerven, in:, Parabolic Problems, Birkhäuser, 2011, pp. 463–477. date_created: 2018-12-11T11:55:48Z date_published: 2011-06-10T00:00:00Z date_updated: 2021-01-12T06:55:24Z day: '10' doi: 10.1007/978-3-0348-0075-4_24 extern: 1 intvolume: ' 80' main_file_link: - open_access: '1' url: 'http://arxiv.org/abs/0911.4336 ' month: '06' oa: 1 page: 463 - 477 publication: Parabolic Problems publication_status: published publisher: Birkhäuser publist_id: '4918' quality_controlled: 0 status: public title: Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators type: book_chapter volume: 80 year: '2011' ... --- _id: '2122' abstract: - lang: eng 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. 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 author: - first_name: Jan full_name: Jan Maas id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 - first_name: Jan full_name: van Neerven, Jan M last_name: Van Neerven - first_name: Pierre full_name: Portal, Pierre last_name: Portal citation: ama: Maas J, Van Neerven J, Portal P. Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques. 2011;55(2):313-341. doi:10.5565/PUBLMAT_55211_03  apa: Maas, J., Van Neerven, J., & Portal, P. (2011). Conical square functions and non-tangential maximal functions with respect to the Gaussian measure. Publicacions Matemàtiques. Universitat Autònoma de Barcelona, Departament de Matemàtique. https://doi.org/10.5565/PUBLMAT_55211_03  chicago: Maas, Jan, Jan Van Neerven, and Pierre Portal. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” Publicacions Matemàtiques. Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011. https://doi.org/10.5565/PUBLMAT_55211_03  . ieee: J. Maas, J. Van Neerven, and P. Portal, “Conical square functions and non-tangential maximal functions with respect to the Gaussian measure,” Publicacions Matemàtiques, vol. 55, no. 2. Universitat Autònoma de Barcelona, Departament de Matemàtique, pp. 313–341, 2011. 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. mla: Maas, Jan, et al. “Conical Square Functions and Non-Tangential Maximal Functions with Respect to the Gaussian Measure.” Publicacions Matemàtiques, vol. 55, no. 2, Universitat Autònoma de Barcelona, Departament de Matemàtique, 2011, pp. 313–41, doi:10.5565/PUBLMAT_55211_03  . short: J. Maas, J. Van Neerven, P. Portal, Publicacions Matemàtiques 55 (2011) 313–341. date_created: 2018-12-11T11:55:50Z date_published: 2011-07-01T00:00:00Z date_updated: 2021-01-12T06:55:26Z day: '01' doi: "10.5565/PUBLMAT_55211_03\t " extern: 1 intvolume: ' 55' issue: '2' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1003.4092 month: '07' oa: 1 page: 313 - 341 publication: Publicacions Matemàtiques publication_status: published publisher: Universitat Autònoma de Barcelona, Departament de Matemàtique publist_id: '4910' quality_controlled: 0 status: public title: Conical square functions and non-tangential maximal functions with respect to the Gaussian measure type: journal_article volume: 55 year: '2011' ... --- _id: '2123' abstract: - lang: eng 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. acknowledgement: The second named author is supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO). article_processing_charge: No author: - first_name: Philippe full_name: Clément, Philippe last_name: Clément - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 citation: ama: Clément P, Maas J. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 2011;11(2):405-427. doi:10.1007/s00028-010-0096-5 apa: Clément, P., & Maas, J. (2011). A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. Birkhäuser. https://doi.org/10.1007/s00028-010-0096-5 chicago: Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations. Birkhäuser, 2011. https://doi.org/10.1007/s00028-010-0096-5. ieee: P. Clément and J. Maas, “A Trotter product formula for gradient flows in metric spaces,” Journal of Evolution Equations, vol. 11, no. 2. Birkhäuser, pp. 405–427, 2011. ista: Clément P, Maas J. 2011. A Trotter product formula for gradient flows in metric spaces. Journal of Evolution Equations. 11(2), 405–427. mla: Clément, Philippe, and Jan Maas. “A Trotter Product Formula for Gradient Flows in Metric Spaces.” Journal of Evolution Equations, vol. 11, no. 2, Birkhäuser, 2011, pp. 405–27, doi:10.1007/s00028-010-0096-5. short: P. Clément, J. Maas, Journal of Evolution Equations 11 (2011) 405–427. date_created: 2018-12-11T11:55:51Z date_published: 2011-01-21T00:00:00Z date_updated: 2021-11-16T08:05:46Z day: '21' doi: 10.1007/s00028-010-0096-5 extern: '1' intvolume: ' 11' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1005.0998 month: '01' oa: 1 oa_version: None page: 405 - 427 publication: Journal of Evolution Equations publication_status: published publisher: Birkhäuser publist_id: '4911' related_material: link: - relation: erratum url: https://doi.org/10.1007/s00028-012-0173-z status: public title: A Trotter product formula for gradient flows in metric spaces type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 11 year: '2011' ... --- _id: '2126' 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. acknowledgement: Supported by Rubicon subsidy 680-50-0901 of the Netherlands Organisation for Scientific Research (NWO) author: - first_name: Jan full_name: Jan Maas id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 citation: ama: Maas J. Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. 2011;261(8):2250-2292. doi:10.1016/j.jfa.2011.06.009 apa: Maas, J. (2011). Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. Academic Press. https://doi.org/10.1016/j.jfa.2011.06.009 chicago: Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal of Functional Analysis. Academic Press, 2011. https://doi.org/10.1016/j.jfa.2011.06.009 . ieee: J. Maas, “Gradient flows of the entropy for finite Markov chains,” Journal of Functional Analysis, vol. 261, no. 8. Academic Press, pp. 2250–2292, 2011. ista: Maas J. 2011. Gradient flows of the entropy for finite Markov chains. Journal of Functional Analysis. 261(8), 2250–2292. mla: Maas, Jan. “Gradient Flows of the Entropy for Finite Markov Chains.” Journal of Functional Analysis, vol. 261, no. 8, Academic Press, 2011, pp. 2250–92, doi:10.1016/j.jfa.2011.06.009 . short: J. Maas, Journal of Functional Analysis 261 (2011) 2250–2292. date_created: 2018-12-11T11:55:51Z date_published: 2011-03-04T00:00:00Z date_updated: 2021-01-12T06:55:28Z day: '04' doi: '10.1016/j.jfa.2011.06.009 ' extern: 1 intvolume: ' 261' issue: '8' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1102.5238 month: '03' oa: 1 page: 2250 - 2292 publication: Journal of Functional Analysis publication_status: published publisher: Academic Press publist_id: '4909' quality_controlled: 0 status: public title: Gradient flows of the entropy for finite Markov chains type: journal_article volume: 261 year: '2011' ... --- _id: '2138' 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. 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 author: - first_name: Ruzin full_name: Ağanoğlu, Ruzin last_name: Ağanoğlu - first_name: Mikhail full_name: Mikhail Lemeshko id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 - first_name: Břetislav full_name: Friedrich, Břetislav last_name: Friedrich - first_name: Rosario full_name: González-Férez, Rosario last_name: González Férez - first_name: Christiane full_name: Koch, Christiane P last_name: Koch citation: ama: Ağanoğlu R, Lemeshko M, Friedrich B, González Férez R, Koch C. Controlling a diatomic shape resonance with non-resonant light. Unknown. 2011. apa: Ağanoğlu, R., Lemeshko, M., Friedrich, B., González Férez, R., & Koch, C. (2011). Controlling a diatomic shape resonance with non-resonant light. Unknown. ArXiv. chicago: Ağanoğlu, Ruzin, Mikhail Lemeshko, Břetislav Friedrich, Rosario González Férez, and Christiane Koch. “Controlling a Diatomic Shape Resonance with Non-Resonant Light.” Unknown. ArXiv, 2011. ieee: R. Ağanoğlu, M. Lemeshko, B. Friedrich, R. González Férez, and C. Koch, “Controlling a diatomic shape resonance with non-resonant light,” Unknown. 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, . mla: Ağanoğlu, Ruzin, et al. “Controlling a Diatomic Shape Resonance with Non-Resonant Light.” Unknown, ArXiv, 2011. short: R. Ağanoğlu, M. Lemeshko, B. Friedrich, R. González Férez, C. Koch, Unknown (2011). date_created: 2018-12-11T11:55:55Z date_published: 2011-05-04T00:00:00Z date_updated: 2021-01-12T06:55:32Z day: '04' extern: 1 main_file_link: - open_access: '1' url: http://arxiv.org/abs/1105.0761 month: '05' oa: 1 publication: Unknown publication_status: published publisher: ArXiv publist_id: '4886' quality_controlled: 0 status: public title: Controlling a diatomic shape resonance with non-resonant light type: preprint year: '2011' ... --- _id: '2200' abstract: - lang: eng 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. acknowledgement: SK thanks the ARO for financial support author: - first_name: Mikhail full_name: Mikhail Lemeshko id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 - first_name: Mustafa full_name: Mustafa, Mustafa K last_name: Mustafa - first_name: Sabre full_name: Kais, Sabre last_name: Kais - first_name: Břetislav full_name: Friedrich, Břetislav last_name: Friedrich citation: ama: Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically. New Journal of Physics. 2011;13. doi:10.1088/1367-2630/13/6/063036 apa: Lemeshko, M., Mustafa, M., Kais, S., & Friedrich, B. (2011). Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically. New Journal of Physics. IOP Publishing Ltd. https://doi.org/10.1088/1367-2630/13/6/063036 chicago: Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich. “Supersymmetry Identifies Molecular Stark States Whose Eigenproperties Can Be Obtained Analytically.” New Journal of Physics. IOP Publishing Ltd., 2011. https://doi.org/10.1088/1367-2630/13/6/063036. ieee: M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically,” New Journal of Physics, 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. mla: Lemeshko, Mikhail, et al. “Supersymmetry Identifies Molecular Stark States Whose Eigenproperties Can Be Obtained Analytically.” New Journal of Physics, vol. 13, IOP Publishing Ltd., 2011, doi:10.1088/1367-2630/13/6/063036. short: M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, New Journal of Physics 13 (2011). date_created: 2018-12-11T11:56:17Z date_published: 2011-06-20T00:00:00Z date_updated: 2021-01-12T06:55:57Z day: '20' doi: 10.1088/1367-2630/13/6/063036 extern: 1 intvolume: ' 13' main_file_link: - open_access: '1' url: 'http://arxiv.org/abs/1106.4402 ' month: '06' oa: 1 publication: New Journal of Physics publication_status: published publisher: IOP Publishing Ltd. publist_id: '4774' quality_controlled: 0 status: public title: Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically type: journal_article volume: 13 year: '2011' ... --- _id: '2199' abstract: - lang: eng 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. acknowledgement: 'ARO ' author: - first_name: Mikhail full_name: Mikhail Lemeshko id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 - first_name: Mustafa full_name: Mustafa, Mustafa K last_name: Mustafa - first_name: Sabre full_name: Kais, Sabre last_name: Kais - first_name: Břetislav full_name: Friedrich, Břetislav last_name: Friedrich citation: ama: Lemeshko M, Mustafa M, Kais S, Friedrich B. Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &quot;stretched&quot; states. Physical Review A - Atomic, Molecular, and Optical Physics. 2011;83(4). doi:10.1103/PhysRevA.83.043415 apa: Lemeshko, M., Mustafa, M., Kais, S., & Friedrich, B. (2011). Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &quot;stretched&quot; states. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.83.043415 chicago: Lemeshko, Mikhail, Mustafa Mustafa, Sabre Kais, and Břetislav Friedrich. “Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect Problem for &quot;Stretched&quot; States.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2011. https://doi.org/10.1103/PhysRevA.83.043415. ieee: M. Lemeshko, M. Mustafa, S. Kais, and B. Friedrich, “Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for &quot;stretched&quot; states,” Physical Review A - Atomic, Molecular, and Optical Physics, 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 &quot;stretched&quot; states. Physical Review A - Atomic, Molecular, and Optical Physics. 83(4). mla: Lemeshko, Mikhail, et al. “Supersymmetric Factorization Yields Exact Solutions to the Molecular Stark-Effect Problem for &quot;Stretched&quot; States.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 4, American Physical Society, 2011, doi:10.1103/PhysRevA.83.043415. short: M. Lemeshko, M. Mustafa, S. Kais, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical Physics 83 (2011). date_created: 2018-12-11T11:56:17Z date_published: 2011-04-25T00:00:00Z date_updated: 2021-01-12T06:55:56Z day: '25' doi: 10.1103/PhysRevA.83.043415 extern: 1 intvolume: ' 83' issue: '4' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1105.5262 month: '04' oa: 1 publication: Physical Review A - Atomic, Molecular, and Optical Physics publication_status: published publisher: American Physical Society publist_id: '4776' quality_controlled: 0 status: public title: Supersymmetric factorization yields exact solutions to the molecular Stark-effect problem for "stretched" states type: journal_article volume: 83 year: '2011' ... --- _id: '2198' 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. author: - first_name: Mikhail full_name: Mikhail Lemeshko id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 citation: ama: Lemeshko M. Shaping interactions between polar molecules with far-off-resonant light. Physical Review A - Atomic, Molecular, and Optical Physics. 2011;83(5). doi:10.1103/PhysRevA.83.051402 apa: Lemeshko, M. (2011). Shaping interactions between polar molecules with far-off-resonant light. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.83.051402 chicago: Lemeshko, Mikhail. “Shaping Interactions between Polar Molecules with Far-off-Resonant Light.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2011. https://doi.org/10.1103/PhysRevA.83.051402. ieee: M. Lemeshko, “Shaping interactions between polar molecules with far-off-resonant light,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 5. American Physical Society, 2011. ista: Lemeshko M. 2011. Shaping interactions between polar molecules with far-off-resonant light. Physical Review A - Atomic, Molecular, and Optical Physics. 83(5). mla: Lemeshko, Mikhail. “Shaping Interactions between Polar Molecules with Far-off-Resonant Light.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 5, American Physical Society, 2011, doi:10.1103/PhysRevA.83.051402. short: M. Lemeshko, Physical Review A - Atomic, Molecular, and Optical Physics 83 (2011). date_created: 2018-12-11T11:56:17Z date_published: 2011-05-27T00:00:00Z date_updated: 2021-01-12T06:55:55Z day: '27' doi: 10.1103/PhysRevA.83.051402 extern: 1 intvolume: ' 83' issue: '5' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1104.1046 month: '05' oa: 1 publication: Physical Review A - Atomic, Molecular, and Optical Physics publication_status: published publisher: American Physical Society publist_id: '4775' quality_controlled: 0 status: public title: Shaping interactions between polar molecules with far-off-resonant light type: journal_article volume: 83 year: '2011' ... --- _id: '2312' 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. author: - first_name: Gaia full_name: Gaia Novarino id: 3E57A680-F248-11E8-B48F-1D18A9856A87 last_name: Novarino orcid: 0000-0002-7673-7178 - first_name: Naiara full_name: Akizu, Naiara last_name: Akizu - first_name: Joseph full_name: Gleeson, Joseph G last_name: Gleeson citation: ama: 'Novarino G, Akizu N, Gleeson J. Modeling human disease in humans: The ciliopathies. Cell. 2011;147(1):70-79. doi:10.1016/j.cell.2011.09.014' apa: 'Novarino, G., Akizu, N., & Gleeson, J. (2011). Modeling human disease in humans: The ciliopathies. Cell. Cell Press. https://doi.org/10.1016/j.cell.2011.09.014' chicago: 'Novarino, Gaia, Naiara Akizu, and Joseph Gleeson. “Modeling Human Disease in Humans: The Ciliopathies.” Cell. Cell Press, 2011. https://doi.org/10.1016/j.cell.2011.09.014.' ieee: 'G. Novarino, N. Akizu, and J. Gleeson, “Modeling human disease in humans: The ciliopathies,” Cell, vol. 147, no. 1. Cell Press, pp. 70–79, 2011.' ista: 'Novarino G, Akizu N, Gleeson J. 2011. Modeling human disease in humans: The ciliopathies. Cell. 147(1), 70–79.' mla: 'Novarino, Gaia, et al. “Modeling Human Disease in Humans: The Ciliopathies.” Cell, vol. 147, no. 1, Cell Press, 2011, pp. 70–79, doi:10.1016/j.cell.2011.09.014.' short: G. Novarino, N. Akizu, J. Gleeson, Cell 147 (2011) 70–79. date_created: 2018-12-11T11:56:55Z date_published: 2011-01-01T00:00:00Z date_updated: 2019-04-26T07:22:10Z day: '01' doi: 10.1016/j.cell.2011.09.014 extern: 1 intvolume: ' 147' issue: '1' month: '01' page: 70 - 79 publication: Cell publication_status: published publisher: Cell Press publist_id: '4615' quality_controlled: 0 status: public title: 'Modeling human disease in humans: The ciliopathies' type: review volume: 147 year: '2011' ... --- _id: '2320' 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. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Lawrence full_name: Thomas, Lawrence E last_name: Thomas 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:10.1142/9789814350365_0002' apa: 'Frank, R., Lieb, É., Seiringer, R., & 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. https://doi.org/10.1142/9789814350365_0002' 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. https://doi.org/10.1142/9789814350365_0002. 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.' mla: Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002. short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32. conference: name: 'QMath: Mathematical Results in Quantum Physics' date_created: 2018-12-11T11:56:58Z date_published: 2011-05-26T00:00:00Z date_updated: 2021-01-12T06:56:45Z day: '26' doi: 10.1142/9789814350365_0002 extern: 1 main_file_link: - open_access: '1' url: http://arxiv.org/abs/1010.0737 month: '05' oa: 1 page: 21 - 32 publication_status: published publisher: World Scientific Publishing publist_id: '4607' quality_controlled: 0 status: public title: Binding, stability, and non-binding of multi-polaron systems type: conference year: '2011' ... --- _id: '2321' 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. alternative_title: - 'Operator Theory: Advances and Applications' author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Ari full_name: Laptev, Ari last_name: Laptev - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: 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:10.1007/978-3-7643-9994-8_3' apa: 'Frank, R., Laptev, A., & 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. https://doi.org/10.1007/978-3-7643-9994-8_3' 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. https://doi.org/10.1007/978-3-7643-9994-8_3. 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. A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials. Vol. 214, Springer, 2011, pp. 39–44, doi:10.1007/978-3-7643-9994-8_3. short: R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44. conference: name: 'OTAMP: Operator Theory, Analysis and Mathematical Physics' date_created: 2018-12-11T11:56:59Z date_published: 2011-03-31T00:00:00Z date_updated: 2021-01-12T06:56:46Z day: '31' doi: 10.1007/978-3-7643-9994-8_3 extern: 1 intvolume: ' 214' main_file_link: - open_access: '1' url: http://arxiv.org/abs/0903.2053 month: '03' oa: 1 page: 39 - 44 publication_status: published publisher: Springer publist_id: '4606' quality_controlled: 0 status: public title: ' A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials' type: conference volume: 214 year: '2011' ... --- _id: '233' abstract: - lang: eng text: 'For an irreducible polynomial in at most two variables the problem of representing power-free integers is investigated. ' acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" author: - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Browning TD. Power-free values of polynomials. Archiv der Mathematik. 2011;96(2):139-150. doi:10.1007/s00013-011-0224-7 apa: Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik. Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7 chicago: Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik. Birkhäuser, 2011. https://doi.org/10.1007/s00013-011-0224-7. ieee: T. D. Browning, “Power-free values of polynomials,” Archiv der Mathematik, 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. mla: Browning, Timothy D. “Power-Free Values of Polynomials.” Archiv Der Mathematik, vol. 96, no. 2, Birkhäuser, 2011, pp. 139–50, doi:10.1007/s00013-011-0224-7. short: T.D. Browning, Archiv Der Mathematik 96 (2011) 139–150. date_created: 2018-12-11T11:45:21Z date_published: 2011-02-19T00:00:00Z date_updated: 2021-01-12T06:56:49Z day: '19' doi: 10.1007/s00013-011-0224-7 extern: 1 intvolume: ' 96' issue: '2' month: '02' page: 139 - 150 publication: Archiv der Mathematik publication_status: published publisher: Birkhäuser publist_id: '7670' quality_controlled: 0 status: public title: Power-free values of polynomials type: journal_article volume: 96 year: '2011' ... --- _id: '234' 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. author: - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Browning TD. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 2011;23(3):579-602. doi:10.5802/jtnb.778 apa: Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778 chicago: Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux, 2011. https://doi.org/10.5802/jtnb.778. ieee: T. D. Browning, “The divisor problem for binary cubic forms,” Journal de Theorie des Nombres de Bordeaux, vol. 23, no. 3. Universite de Bordeaux, pp. 579–602, 2011. ista: Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602. mla: Browning, Timothy D. “The Divisor Problem for Binary Cubic Forms.” Journal de Theorie Des Nombres de Bordeaux, vol. 23, no. 3, Universite de Bordeaux, 2011, pp. 579–602, doi:10.5802/jtnb.778. short: T.D. Browning, Journal de Theorie Des Nombres de Bordeaux 23 (2011) 579–602. date_created: 2018-12-11T11:45:21Z date_published: 2011-01-01T00:00:00Z date_updated: 2021-01-12T06:56:53Z day: '01' doi: 10.5802/jtnb.778 extern: 1 intvolume: ' 23' issue: '3' month: '01' page: 579 - 602 publication: Journal de Theorie des Nombres de Bordeaux publication_status: published publisher: Universite de Bordeaux publist_id: '7671' quality_controlled: 0 status: public title: The divisor problem for binary cubic forms type: journal_article volume: 23 year: '2011' ... --- _id: '235' 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. article_processing_charge: No article_type: original author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Christian full_name: Elsholtz, Christian last_name: Elsholtz citation: ama: Browning TD, Elsholtz C. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 2011;55(2):685-696. apa: Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. University of Illinois Press. chicago: Browning, Timothy D, and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics. University of Illinois Press, 2011. ieee: T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,” Illinois Journal of Mathematics, 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. mla: Browning, Timothy D., and Christian Elsholtz. “The Number of Representations of Rationals as a Sum of Unit Fractions.” Illinois Journal of Mathematics, 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. date_created: 2018-12-11T11:45:21Z date_published: 2011-07-01T00:00:00Z date_updated: 2021-01-12T06:56:57Z day: '01' extern: '1' intvolume: ' 55' issue: '2' language: - iso: eng month: '07' oa_version: None page: 685 - 696 publication: Illinois Journal of Mathematics publication_status: published publisher: University of Illinois Press publist_id: '7669' quality_controlled: '1' status: public title: The number of representations of rationals as a sum of unit fractions type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 55 year: '2011' ... --- _id: '236' abstract: - lang: eng 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. acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" author: - first_name: Régis full_name: de la Bretèche, Régis last_name: De La Bretèche - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: De La Bretèche R, Browning TD. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 2011;160(1):1-69. doi:10.1215/00127094-1443466 apa: De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1443466 chicago: De La Bretèche, Régis, and Timothy D Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal. Duke University Press, 2011. https://doi.org/10.1215/00127094-1443466. ieee: R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration,” Duke Mathematical Journal, vol. 160, no. 1. Duke University Press, pp. 1–69, 2011. 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. mla: De La Bretèche, Régis, and Timothy D. Browning. “Manin’s Conjecture for Quartic Del Pezzo Surfaces with a Conic Fibration.” Duke Mathematical Journal, vol. 160, no. 1, Duke University Press, 2011, pp. 1–69, doi:10.1215/00127094-1443466. short: R. De La Bretèche, T.D. Browning, Duke Mathematical Journal 160 (2011) 1–69. date_created: 2018-12-11T11:45:21Z date_published: 2011-09-27T00:00:00Z date_updated: 2021-01-12T06:57:00Z day: '27' doi: 10.1215/00127094-1443466 extern: 1 intvolume: ' 160' issue: '1' month: '09' page: 1 - 69 publication: Duke Mathematical Journal publication_status: published publisher: Duke University Press publist_id: '7668' quality_controlled: 0 status: public title: Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration type: journal_article volume: 160 year: '2011' ... --- _id: '2390' abstract: - lang: eng 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<2α, stability of matter does hold for U>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.' author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Lawrence full_name: Thomas, Lawrence E last_name: Thomas citation: ama: Frank R, Lieb É, Seiringer R, Thomas L. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 2011;113(1):39-67. doi:10.1007/s10240-011-0031-5 apa: 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. Springer. https://doi.org/10.1007/s10240-011-0031-5 chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques. Springer, 2011. https://doi.org/10.1007/s10240-011-0031-5. ieee: R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of binding for multi-polaron systems,” Publications Mathematiques de l Institut des Hautes Etudes Scientifiques, vol. 113, no. 1. Springer, pp. 39–67, 2011. 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. mla: Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5. short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67. date_created: 2018-12-11T11:57:23Z date_published: 2011-06-01T00:00:00Z date_updated: 2021-01-12T06:57:12Z day: '01' doi: 10.1007/s10240-011-0031-5 extern: 1 intvolume: ' 113' issue: '1' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1004.4892 month: '06' oa: 1 page: 39 - 67 publication: Publications Mathematiques de l Institut des Hautes Etudes Scientifiques publication_status: published publisher: Springer publist_id: '4534' quality_controlled: 0 status: public title: Stability and absence of binding for multi-polaron systems type: journal_article volume: 113 year: '2011' ... --- _id: '2391' 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. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Mathieu full_name: Lewin, Mathieu last_name: Lewin - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Lewin M, Lieb É, Seiringer R. Energy cost to make a hole in the fermi sea. Physical Review Letters. 2011;106(15). doi:10.1103/PhysRevLett.106.150402 apa: Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2011). Energy cost to make a hole in the fermi sea. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.106.150402 chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters. American Physical Society, 2011. https://doi.org/10.1103/PhysRevLett.106.150402. ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole in the fermi sea,” Physical Review Letters, vol. 106, no. 15. American Physical Society, 2011. 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). mla: Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402. short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011). date_created: 2018-12-11T11:57:24Z date_published: 2011-01-01T00:00:00Z date_updated: 2021-01-12T06:57:12Z day: '01' doi: 10.1103/PhysRevLett.106.150402 extern: 1 intvolume: ' 106' issue: '15' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1102.1414 month: '01' oa: 1 publication: Physical Review Letters publication_status: published publisher: American Physical Society publist_id: '4535' quality_controlled: 0 status: public title: Energy cost to make a hole in the fermi sea type: journal_article volume: 106 year: '2011' ...