[{"issue":"5","page":"900 - 923","month":"03","intvolume":"       146","year":"2012","date_updated":"2021-01-12T06:59:35Z","type":"journal_article","_id":"2771","title":"Anderson localization at band edges for random magnetic fields","date_published":"2012-03-01T00:00:00Z","publication":"Journal of Statistical Physics","day":"01","publisher":"Springer","publist_id":"4119","abstract":[{"text":"We consider a magnetic Schrödinger operator in two dimensions. The magnetic field is given as the sum of a large and constant magnetic field and a random magnetic field. Moreover, we allow for an additional deterministic potential as well as a magnetic field which are both periodic. We show that the spectrum of this operator is contained in broadened bands around the Landau levels and that the edges of these bands consist of pure point spectrum with exponentially decaying eigenfunctions. The proof is based on a recent Wegner estimate obtained in Erdos and Hasler (Commun. Math. Phys., preprint, arXiv:1012.5185) and a multiscale analysis.","lang":"eng"}],"date_created":"2018-12-11T11:59:31Z","publication_status":"published","volume":146,"doi":"10.1007/s10955-012-0445-6","author":[{"orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Hasler","full_name":"Hasler, David G","first_name":"David"}],"status":"public","quality_controlled":0,"extern":1,"citation":{"ieee":"L. Erdös and D. Hasler, “Anderson localization at band edges for random magnetic fields,” <i>Journal of Statistical Physics</i>, vol. 146, no. 5. Springer, pp. 900–923, 2012.","ista":"Erdös L, Hasler D. 2012. Anderson localization at band edges for random magnetic fields. Journal of Statistical Physics. 146(5), 900–923.","mla":"Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.” <i>Journal of Statistical Physics</i>, vol. 146, no. 5, Springer, 2012, pp. 900–23, doi:<a href=\"https://doi.org/10.1007/s10955-012-0445-6\">10.1007/s10955-012-0445-6</a>.","short":"L. Erdös, D. Hasler, Journal of Statistical Physics 146 (2012) 900–923.","ama":"Erdös L, Hasler D. Anderson localization at band edges for random magnetic fields. <i>Journal of Statistical Physics</i>. 2012;146(5):900-923. doi:<a href=\"https://doi.org/10.1007/s10955-012-0445-6\">10.1007/s10955-012-0445-6</a>","chicago":"Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.” <i>Journal of Statistical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s10955-012-0445-6\">https://doi.org/10.1007/s10955-012-0445-6</a>.","apa":"Erdös, L., &#38; Hasler, D. (2012). Anderson localization at band edges for random magnetic fields. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-012-0445-6\">https://doi.org/10.1007/s10955-012-0445-6</a>"}},{"doi":"10.1007/s00023-011-0150-z","volume":13,"publication_status":"published","date_created":"2018-12-11T11:59:31Z","citation":{"ista":"Erdös L, Fournais S, Solovej J. 2012. Second order semiclassics with self generated magnetic fields. Annales Henri Poincare. 13(4), 671–730.","ieee":"L. Erdös, S. Fournais, and J. Solovej, “Second order semiclassics with self generated magnetic fields,” <i>Annales Henri Poincare</i>, vol. 13, no. 4. Birkhäuser, pp. 671–730, 2012.","short":"L. Erdös, S. Fournais, J. Solovej, Annales Henri Poincare 13 (2012) 671–730.","mla":"Erdös, László, et al. “Second Order Semiclassics with Self Generated Magnetic Fields.” <i>Annales Henri Poincare</i>, vol. 13, no. 4, Birkhäuser, 2012, pp. 671–730, doi:<a href=\"https://doi.org/10.1007/s00023-011-0150-z\">10.1007/s00023-011-0150-z</a>.","ama":"Erdös L, Fournais S, Solovej J. Second order semiclassics with self generated magnetic fields. <i>Annales Henri Poincare</i>. 2012;13(4):671-730. doi:<a href=\"https://doi.org/10.1007/s00023-011-0150-z\">10.1007/s00023-011-0150-z</a>","apa":"Erdös, L., Fournais, S., &#38; Solovej, J. (2012). Second order semiclassics with self generated magnetic fields. <i>Annales Henri Poincare</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00023-011-0150-z\">https://doi.org/10.1007/s00023-011-0150-z</a>","chicago":"Erdös, László, Søren Fournais, and Jan Solovej. “Second Order Semiclassics with Self Generated Magnetic Fields.” <i>Annales Henri Poincare</i>. Birkhäuser, 2012. <a href=\"https://doi.org/10.1007/s00023-011-0150-z\">https://doi.org/10.1007/s00023-011-0150-z</a>."},"extern":1,"author":[{"orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Fournais","first_name":"Søren","full_name":"Fournais, Søren"},{"full_name":"Solovej, Jan P","first_name":"Jan","last_name":"Solovej"}],"status":"public","quality_controlled":0,"publisher":"Birkhäuser","day":"01","publication":"Annales Henri Poincare","date_published":"2012-05-01T00:00:00Z","abstract":[{"text":"We consider the semiclassical asymptotics of the sum of negative eigenvalues of the three-dimensional Pauli operator with an external potential and a self-generated magnetic field B. We also add the field energy β ∫ B 2 and we minimize over all magnetic fields. The parameter β effectively determines the strength of the field. We consider the weak field regime with βh 2 ≥ const &gt; 0, where h is the semiclassical parameter. For smooth potentials we prove that the semiclassical asymptotics of the total energy is given by the non-magnetic Weyl term to leading order with an error bound that is smaller by a factor h 1+e{open}, i. e. the subleading term vanishes. However for potentials with a Coulomb singularity, the subleading term does not vanish due to the non-semiclassical effect of the singularity. Combined with a multiscale technique, this refined estimate is used in the companion paper (Erdo{double acute}s et al. in Scott correction for large molecules with a self-generated magnetic field, Preprint, 2011) to prove the second order Scott correction to the ground state energy of large atoms and molecules.","lang":"eng"}],"publist_id":"4118","type":"journal_article","_id":"2772","date_updated":"2021-01-12T06:59:36Z","title":"Second order semiclassics with self generated magnetic fields","page":"671 - 730","issue":"4","intvolume":"        13","year":"2012","month":"05"},{"intvolume":"        17","year":"2012","month":"04","title":"A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices","_id":"2773","type":"journal_article","date_updated":"2021-01-12T06:59:36Z","abstract":[{"text":"Recently we proved [3, 4, 6, 7, 9, 10, 11] that the eigenvalue correlation functions of a general class of random matrices converge, weakly with respect to the energy, to the corresponding ones of Gaussian matrices. Tao and Vu [15] gave a proof that for the special case of Hermitian Wigner matrices the convergence can be strengthened to vague convergence at any fixed energy in the bulk. In this article we show that this theorem is an immediate corollary of our earlier results. Indeed, a more general form of this theorem also follows directly from our work [2].","lang":"eng"}],"publist_id":"4117","day":"10","publisher":"Institute of Mathematical Statistics","publication":"Electronic Journal of Probability","date_published":"2012-04-10T00:00:00Z","extern":1,"citation":{"ista":"Erdös L, Yau H. 2012. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Electronic Journal of Probability. 17.","ieee":"L. Erdös and H. Yau, “A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices,” <i>Electronic Journal of Probability</i>, vol. 17. Institute of Mathematical Statistics, 2012.","short":"L. Erdös, H. Yau, Electronic Journal of Probability 17 (2012).","mla":"Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.” <i>Electronic Journal of Probability</i>, vol. 17, Institute of Mathematical Statistics, 2012, doi:<a href=\"https://doi.org/10.1214/EJP.v17-1779\">10.1214/EJP.v17-1779</a>.","ama":"Erdös L, Yau H. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. <i>Electronic Journal of Probability</i>. 2012;17. doi:<a href=\"https://doi.org/10.1214/EJP.v17-1779\">10.1214/EJP.v17-1779</a>","apa":"Erdös, L., &#38; Yau, H. (2012). A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/EJP.v17-1779\">https://doi.org/10.1214/EJP.v17-1779</a>","chicago":"Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.” <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics, 2012. <a href=\"https://doi.org/10.1214/EJP.v17-1779\">https://doi.org/10.1214/EJP.v17-1779</a>."},"quality_controlled":0,"status":"public","author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös"},{"last_name":"Yau","first_name":"Horng","full_name":"Yau, Horng-Tzer"}],"doi":"10.1214/EJP.v17-1779","volume":17,"publication_status":"published","date_created":"2018-12-11T11:59:31Z"},{"publisher":"Springer","day":"01","date_published":"2012-06-01T00:00:00Z","publication":"Communications in Mathematical Physics","abstract":[{"lang":"eng","text":"We consider a large neutral molecule with total nuclear charge Z in non-relativistic quantum mechanics with a self-generated classical electromagnetic field. To ensure stability, we assume that Zα 2 ≤ κ 0 for a sufficiently small κ 0, where α denotes the fine structure constant. We show that, in the simultaneous limit Z → ∞, α → 0 such that κ = Zα 2 is fixed, the ground state energy of the system is given by a two term expansion c 1Z 7/3 + c 2(κ) Z 2 + o(Z 2). The leading term is given by the non-magnetic Thomas-Fermi theory. Our result shows that the magnetic field affects only the second (so-called Scott) term in the expansion."}],"publist_id":"4116","doi":"10.1007/s00220-012-1468-1","publication_status":"published","date_created":"2018-12-11T11:59:31Z","volume":312,"author":[{"orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Fournais","first_name":"Søren","full_name":"Fournais, Søren"},{"last_name":"Solovej","full_name":"Solovej, Jan P","first_name":"Jan"}],"status":"public","quality_controlled":0,"citation":{"short":"L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics 312 (2012) 847–882.","mla":"Erdös, László, et al. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” <i>Communications in Mathematical Physics</i>, vol. 312, no. 3, Springer, 2012, pp. 847–82, doi:<a href=\"https://doi.org/10.1007/s00220-012-1468-1\">10.1007/s00220-012-1468-1</a>.","ieee":"L. Erdös, S. Fournais, and J. Solovej, “Scott correction for large atoms and molecules in a self-generated magnetic field,” <i>Communications in Mathematical Physics</i>, vol. 312, no. 3. Springer, pp. 847–882, 2012.","ista":"Erdös L, Fournais S, Solovej J. 2012. Scott correction for large atoms and molecules in a self-generated magnetic field. Communications in Mathematical Physics. 312(3), 847–882.","chicago":"Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1468-1\">https://doi.org/10.1007/s00220-012-1468-1</a>.","apa":"Erdös, L., Fournais, S., &#38; Solovej, J. (2012). Scott correction for large atoms and molecules in a self-generated magnetic field. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-012-1468-1\">https://doi.org/10.1007/s00220-012-1468-1</a>","ama":"Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules in a self-generated magnetic field. <i>Communications in Mathematical Physics</i>. 2012;312(3):847-882. doi:<a href=\"https://doi.org/10.1007/s00220-012-1468-1\">10.1007/s00220-012-1468-1</a>"},"extern":1,"page":"847 - 882","issue":"3","year":"2012","intvolume":"       312","month":"06","date_updated":"2021-01-12T06:59:36Z","_id":"2774","type":"journal_article","title":"Scott correction for large atoms and molecules in a self-generated magnetic field"},{"volume":49,"publication_status":"published","date_created":"2018-12-11T11:59:32Z","doi":"10.1090/S0273-0979-2012-01372-1","extern":1,"citation":{"apa":"Erdös, L., &#38; Yau, H. (2012). Universality of local spectral statistics of random matrices. <i>Bulletin of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/S0273-0979-2012-01372-1\">https://doi.org/10.1090/S0273-0979-2012-01372-1</a>","chicago":"Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of Random Matrices.” <i>Bulletin of the American Mathematical Society</i>. American Mathematical Society, 2012. <a href=\"https://doi.org/10.1090/S0273-0979-2012-01372-1\">https://doi.org/10.1090/S0273-0979-2012-01372-1</a>.","ama":"Erdös L, Yau H. Universality of local spectral statistics of random matrices. <i>Bulletin of the American Mathematical Society</i>. 2012;49(3):377-414. doi:<a href=\"https://doi.org/10.1090/S0273-0979-2012-01372-1\">10.1090/S0273-0979-2012-01372-1</a>","short":"L. Erdös, H. Yau, Bulletin of the American Mathematical Society 49 (2012) 377–414.","mla":"Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of Random Matrices.” <i>Bulletin of the American Mathematical Society</i>, vol. 49, no. 3, American Mathematical Society, 2012, pp. 377–414, doi:<a href=\"https://doi.org/10.1090/S0273-0979-2012-01372-1\">10.1090/S0273-0979-2012-01372-1</a>.","ieee":"L. Erdös and H. Yau, “Universality of local spectral statistics of random matrices,” <i>Bulletin of the American Mathematical Society</i>, vol. 49, no. 3. American Mathematical Society, pp. 377–414, 2012.","ista":"Erdös L, Yau H. 2012. Universality of local spectral statistics of random matrices. Bulletin of the American Mathematical Society. 49(3), 377–414."},"quality_controlled":0,"status":"public","author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","full_name":"László Erdös"},{"last_name":"Yau","first_name":"Horng","full_name":"Yau, Horng-Tzer"}],"publication":"Bulletin of the American Mathematical Society","date_published":"2012-01-30T00:00:00Z","publisher":"American Mathematical Society","day":"30","publist_id":"4115","abstract":[{"lang":"eng","text":"The Wigner-Dyson-Gaudin-Mehta conjecture asserts that the local eigenvalue statistics of large random matrices exhibit universal behavior depending only on the symmetry class of the matrix ensemble. For invariant matrix models, the eigenvalue distributions are given by a log-gas with potential V and inverse temperature β = 1, 2, 4, corresponding to the orthogonal, unitary and symplectic ensembles. For β ∉ {1, 2, 4}, there is no natural random matrix ensemble behind this model, but the statistical physics interpretation of the log-gas is still valid for all β &gt; 0. The universality conjecture for invariant ensembles asserts that the local eigenvalue statistics are independent of V. In this article, we review our recent solution to the universality conjecture for both invariant and non-invariant ensembles. We will also demonstrate that the local ergodicity of the Dyson Brownian motion is the intrinsic mechanism behind the universality. Furthermore, we review the solution of Dyson's conjecture on the local relaxation time of the Dyson Brownian motion. Related questions such as delocalization of eigenvectors and local version of Wigner's semicircle law will also be discussed."}],"type":"journal_article","_id":"2775","date_updated":"2021-01-12T06:59:36Z","title":"Universality of local spectral statistics of random matrices","issue":"3","page":"377 - 414","month":"01","year":"2012","intvolume":"        49"},{"abstract":[{"lang":"eng","text":"We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs, i.e. graphs on N vertices where every edge is chosen independently and with probability p ≡ p(N). We rescale the matrix so that its bulk eigenvalues are of order one. Under the assumption pN≫N2/3 , we prove the universality of eigenvalue distributions both in the bulk and at the edge of the spectrum. More precisely, we prove (1) that the eigenvalue spacing of the Erdős-Rényi graph in the bulk of the spectrum has the same distribution as that of the Gaussian orthogonal ensemble; and (2) that the second largest eigenvalue of the Erdős-Rényi graph has the same distribution as the largest eigenvalue of the Gaussian orthogonal ensemble. As an application of our method, we prove the bulk universality of generalized Wigner matrices under the assumption that the matrix entries have at least 4 + ε moments."}],"publist_id":"4114","day":"01","publisher":"Springer","publication":"Communications in Mathematical Physics","date_published":"2012-09-01T00:00:00Z","extern":1,"citation":{"ama":"Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. <i>Communications in Mathematical Physics</i>. 2012;314(3):587-640. doi:<a href=\"https://doi.org/10.1007/s00220-012-1527-7\">10.1007/s00220-012-1527-7</a>","chicago":"Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1527-7\">https://doi.org/10.1007/s00220-012-1527-7</a>.","apa":"Erdös, L., Knowles, A., Yau, H., &#38; Yin, J. (2012). Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-012-1527-7\">https://doi.org/10.1007/s00220-012-1527-7</a>","ista":"Erdös L, Knowles A, Yau H, Yin J. 2012. Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical Physics. 314(3), 587–640.","ieee":"L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues,” <i>Communications in Mathematical Physics</i>, vol. 314, no. 3. Springer, pp. 587–640, 2012.","mla":"Erdös, László, et al. “Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.” <i>Communications in Mathematical Physics</i>, vol. 314, no. 3, Springer, 2012, pp. 587–640, doi:<a href=\"https://doi.org/10.1007/s00220-012-1527-7\">10.1007/s00220-012-1527-7</a>.","short":"L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics 314 (2012) 587–640."},"quality_controlled":0,"author":[{"first_name":"László","full_name":"László Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"last_name":"Knowles","full_name":"Knowles, Antti","first_name":"Antti"},{"last_name":"Yau","full_name":"Yau, Horng-Tzer","first_name":"Horng"},{"full_name":"Yin, Jun","first_name":"Jun","last_name":"Yin"}],"status":"public","doi":"10.1007/s00220-012-1527-7","volume":314,"publication_status":"published","date_created":"2018-12-11T11:59:32Z","intvolume":"       314","year":"2012","month":"09","page":"587 - 640","issue":"3","title":"Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues","type":"journal_article","_id":"2776","date_updated":"2021-01-12T06:59:37Z"},{"type":"journal_article","_id":"2777","date_updated":"2021-01-12T06:59:37Z","title":"Relativistic Scott correction in self-generated magnetic fields","issue":"9","intvolume":"        53","year":"2012","month":"09","doi":"10.1063/1.3697417","volume":53,"date_created":"2018-12-11T11:59:32Z","publication_status":"published","citation":{"short":"L. Erdös, S. Fournais, J. Solovej, Journal of Mathematical Physics 53 (2012).","mla":"Erdös, László, et al. “Relativistic Scott Correction in Self-Generated Magnetic Fields.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.3697417\">10.1063/1.3697417</a>.","ieee":"L. Erdös, S. Fournais, and J. Solovej, “Relativistic Scott correction in self-generated magnetic fields,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9. American Institute of Physics, 2012.","ista":"Erdös L, Fournais S, Solovej J. 2012. Relativistic Scott correction in self-generated magnetic fields. Journal of Mathematical Physics. 53(9).","apa":"Erdös, L., Fournais, S., &#38; Solovej, J. (2012). Relativistic Scott correction in self-generated magnetic fields. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3697417\">https://doi.org/10.1063/1.3697417</a>","chicago":"Erdös, László, Søren Fournais, and Jan Solovej. “Relativistic Scott Correction in Self-Generated Magnetic Fields.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.3697417\">https://doi.org/10.1063/1.3697417</a>.","ama":"Erdös L, Fournais S, Solovej J. Relativistic Scott correction in self-generated magnetic fields. <i>Journal of Mathematical Physics</i>. 2012;53(9). doi:<a href=\"https://doi.org/10.1063/1.3697417\">10.1063/1.3697417</a>"},"extern":1,"author":[{"orcid":"0000-0001-5366-9603","full_name":"László Erdös","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Fournais","full_name":"Fournais, Søren","first_name":"Søren"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"}],"quality_controlled":0,"status":"public","day":"28","publisher":"American Institute of Physics","publication":"Journal of Mathematical Physics","date_published":"2012-09-28T00:00:00Z","abstract":[{"text":"We consider a large neutral molecule with total nuclear charge Z in a model with self-generated classical magnetic field and where the kinetic energy of the electrons is treated relativistically. To ensure stability, we assume that Zα &lt; 2/π, where α denotes the fine structure constant. We are interested in the ground state energy in the simultaneous limit Z → ∞, α → 0 such that κ = Zα is fixed. The leading term in the energy asymptotics is independent of κ, it is given by the Thomas-Fermi energy of order Z7/3 and it is unchanged by including the self-generated magnetic field. We prove the first correction term to this energy, the so-called Scott correction of the form S(αZ)Z2. The current paper extends the result of Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)] on the Scott correction for relativistic molecules to include a self-generated magnetic field. Furthermore, we show that the corresponding Scott correction function S, first identified by Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)], is unchanged by including a magnetic field. We also prove new Lieb-Thirring inequalities for the relativistic kinetic energy with magnetic fields.","lang":"eng"}],"publist_id":"4113"},{"publisher":"American Institute of Physics","day":"28","publication":"Journal of Mathematical Physics","date_published":"2012-09-28T00:00:00Z","abstract":[{"text":"We prove the bulk universality of the β-ensembles with non-convex regular analytic potentials for any β &gt; 0. This removes the convexity assumption appeared in the earlier work [P. Bourgade, L. Erdös, and H.-T. Yau, Universality of general β-ensembles, preprint arXiv:0907.5605 (2011)]. The convexity condition enabled us to use the logarithmic Sobolev inequality to estimate events with small probability. The new idea is to introduce a &quot;convexified measure&quot; so that the local statistics are preserved under this convexification.","lang":"eng"}],"publist_id":"4112","doi":"10.1063/1.4751478","volume":53,"date_created":"2018-12-11T11:59:33Z","publication_status":"published","citation":{"ama":"Bourgade P, Erdös L, Yau H. Bulk universality of general β-ensembles with non-convex potential. <i>Journal of Mathematical Physics</i>. 2012;53(9). doi:<a href=\"https://doi.org/10.1063/1.4751478\">10.1063/1.4751478</a>","chicago":"Bourgade, Paul, László Erdös, and Horng Yau. “Bulk Universality of General β-Ensembles with Non-Convex Potential.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.4751478\">https://doi.org/10.1063/1.4751478</a>.","apa":"Bourgade, P., Erdös, L., &#38; Yau, H. (2012). Bulk universality of general β-ensembles with non-convex potential. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.4751478\">https://doi.org/10.1063/1.4751478</a>","ista":"Bourgade P, Erdös L, Yau H. 2012. Bulk universality of general β-ensembles with non-convex potential. Journal of Mathematical Physics. 53(9).","ieee":"P. Bourgade, L. Erdös, and H. Yau, “Bulk universality of general β-ensembles with non-convex potential,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9. American Institute of Physics, 2012.","mla":"Bourgade, Paul, et al. “Bulk Universality of General β-Ensembles with Non-Convex Potential.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.4751478\">10.1063/1.4751478</a>.","short":"P. Bourgade, L. Erdös, H. Yau, Journal of Mathematical Physics 53 (2012)."},"extern":1,"author":[{"last_name":"Bourgade","first_name":"Paul","full_name":"Bourgade, Paul"},{"full_name":"László Erdös","first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"first_name":"Horng","full_name":"Yau, Horng-Tzer","last_name":"Yau"}],"status":"public","quality_controlled":0,"issue":"9","year":"2012","intvolume":"        53","month":"09","_id":"2778","type":"journal_article","date_updated":"2021-01-12T06:59:38Z","title":"Bulk universality of general β-ensembles with non-convex potential"},{"type":"journal_article","_id":"2779","date_updated":"2021-01-12T06:59:38Z","title":"Wegner estimate for random magnetic Laplacian on ℤ 2","page":"1719 - 1731","issue":"8","year":"2012","intvolume":"        13","month":"12","doi":"10.1007/s00023-012-0177-9","volume":13,"date_created":"2018-12-11T11:59:33Z","publication_status":"published","citation":{"ieee":"L. Erdös and D. Hasler, “Wegner estimate for random magnetic Laplacian on ℤ 2,” <i>Annales Henri Poincare</i>, vol. 13, no. 8. Birkhäuser, pp. 1719–1731, 2012.","ista":"Erdös L, Hasler D. 2012. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 13(8), 1719–1731.","short":"L. Erdös, D. Hasler, Annales Henri Poincare 13 (2012) 1719–1731.","mla":"Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” <i>Annales Henri Poincare</i>, vol. 13, no. 8, Birkhäuser, 2012, pp. 1719–31, doi:<a href=\"https://doi.org/10.1007/s00023-012-0177-9\">10.1007/s00023-012-0177-9</a>.","ama":"Erdös L, Hasler D. Wegner estimate for random magnetic Laplacian on ℤ 2. <i>Annales Henri Poincare</i>. 2012;13(8):1719-1731. doi:<a href=\"https://doi.org/10.1007/s00023-012-0177-9\">10.1007/s00023-012-0177-9</a>","apa":"Erdös, L., &#38; Hasler, D. (2012). Wegner estimate for random magnetic Laplacian on ℤ 2. <i>Annales Henri Poincare</i>. Birkhäuser. <a href=\"https://doi.org/10.1007/s00023-012-0177-9\">https://doi.org/10.1007/s00023-012-0177-9</a>","chicago":"Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” <i>Annales Henri Poincare</i>. Birkhäuser, 2012. <a href=\"https://doi.org/10.1007/s00023-012-0177-9\">https://doi.org/10.1007/s00023-012-0177-9</a>."},"extern":1,"status":"public","author":[{"full_name":"László Erdös","first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"full_name":"Hasler, David G","first_name":"David","last_name":"Hasler"}],"quality_controlled":0,"day":"01","publisher":"Birkhäuser","publication":"Annales Henri Poincare","date_published":"2012-12-01T00:00:00Z","abstract":[{"lang":"eng","text":"We consider a two-dimensional magnetic Schrödinger operator on a square lattice with a spatially stationary random magnetic field. We prove Anderson localization near the spectral edges. We use a new approach to establish a Wegner estimate that does not rely on the monotonicity of the energy on the random parameters."}],"publist_id":"4111"},{"date_created":"2018-12-11T11:59:40Z","publication_status":"published","volume":52,"doi":"10.1007/s00348-011-1243-7","author":[{"first_name":"Tobias","full_name":"Lapp, Tobias","last_name":"Lapp"},{"last_name":"Rohloff","first_name":"Martin","full_name":"Rohloff, Martin"},{"last_name":"Vollmer","first_name":"Jürgen","full_name":"Vollmer, Jürgen T"},{"orcid":"0000-0003-2057-2754","full_name":"Björn Hof","first_name":"Björn","last_name":"Hof","id":"3A374330-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":0,"status":"public","extern":1,"citation":{"ama":"Lapp T, Rohloff M, Vollmer J, Hof B. Particle tracking for polydisperse sedimenting droplets in phase separation. <i>Experiments in Fluids</i>. 2012;52(5):1187-1200. doi:<a href=\"https://doi.org/10.1007/s00348-011-1243-7\">10.1007/s00348-011-1243-7</a>","apa":"Lapp, T., Rohloff, M., Vollmer, J., &#38; Hof, B. (2012). Particle tracking for polydisperse sedimenting droplets in phase separation. <i>Experiments in Fluids</i>. Springer. <a href=\"https://doi.org/10.1007/s00348-011-1243-7\">https://doi.org/10.1007/s00348-011-1243-7</a>","chicago":"Lapp, Tobias, Martin Rohloff, Jürgen Vollmer, and Björn Hof. “Particle Tracking for Polydisperse Sedimenting Droplets in Phase Separation.” <i>Experiments in Fluids</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00348-011-1243-7\">https://doi.org/10.1007/s00348-011-1243-7</a>.","ista":"Lapp T, Rohloff M, Vollmer J, Hof B. 2012. Particle tracking for polydisperse sedimenting droplets in phase separation. Experiments in Fluids. 52(5), 1187–1200.","ieee":"T. Lapp, M. Rohloff, J. Vollmer, and B. Hof, “Particle tracking for polydisperse sedimenting droplets in phase separation,” <i>Experiments in Fluids</i>, vol. 52, no. 5. Springer, pp. 1187–1200, 2012.","mla":"Lapp, Tobias, et al. “Particle Tracking for Polydisperse Sedimenting Droplets in Phase Separation.” <i>Experiments in Fluids</i>, vol. 52, no. 5, Springer, 2012, pp. 1187–200, doi:<a href=\"https://doi.org/10.1007/s00348-011-1243-7\">10.1007/s00348-011-1243-7</a>.","short":"T. Lapp, M. Rohloff, J. Vollmer, B. Hof, Experiments in Fluids 52 (2012) 1187–1200."},"date_published":"2012-05-05T00:00:00Z","publication":"Experiments in Fluids","day":"05","publisher":"Springer","publist_id":"4087","abstract":[{"lang":"eng","text":"When a binary fluid demixes under a slow temperature ramp, nucleation, coarsening and sedimentation of droplets lead to an oscillatory evolution of the phase-separating system. The advection of the sedimenting droplets is found to be chaotic. The flow is driven by density differences between two phases. Here, we show how image processing can be combined with particle tracking to resolve droplet size and velocity simultaneously. Droplets are used as tracer particles, and the sedimentation velocity is determined. Taking these effects into account, droplets with radii in the range of 4-40 μm are detected and tracked. Based on these data, we resolve the oscillations in the droplet size distribution that are coupled to the convective flow."}],"date_updated":"2021-01-12T06:59:49Z","type":"journal_article","_id":"2802","title":"Particle tracking for polydisperse sedimenting droplets in phase separation","issue":"5","page":"1187 - 1200","month":"05","intvolume":"        52","year":"2012"},{"doi":"10.1103/PhysRevLett.108.214502","date_created":"2018-12-11T11:59:41Z","publication_status":"published","volume":108,"quality_controlled":0,"author":[{"first_name":"Alberto","full_name":"de Lózar, Alberto","last_name":"De Lózar"},{"full_name":"Mellibovsky, Fernando","first_name":"Fernando","last_name":"Mellibovsky"},{"last_name":"Avila","full_name":"Avila, Marc","first_name":"Marc"},{"id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","full_name":"Björn Hof","first_name":"Björn","orcid":"0000-0003-2057-2754"}],"status":"public","citation":{"ama":"De Lózar A, Mellibovsky F, Avila M, Hof B. Edge state in pipe flow experiments. <i>Physical Review Letters</i>. 2012;108(21). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.108.214502\">10.1103/PhysRevLett.108.214502</a>","apa":"De Lózar, A., Mellibovsky, F., Avila, M., &#38; Hof, B. (2012). Edge state in pipe flow experiments. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.108.214502\">https://doi.org/10.1103/PhysRevLett.108.214502</a>","chicago":"De Lózar, Alberto, Fernando Mellibovsky, Marc Avila, and Björn Hof. “Edge State in Pipe Flow Experiments.” <i>Physical Review Letters</i>. American Physical Society, 2012. <a href=\"https://doi.org/10.1103/PhysRevLett.108.214502\">https://doi.org/10.1103/PhysRevLett.108.214502</a>.","ista":"De Lózar A, Mellibovsky F, Avila M, Hof B. 2012. Edge state in pipe flow experiments. Physical Review Letters. 108(21).","ieee":"A. De Lózar, F. Mellibovsky, M. Avila, and B. Hof, “Edge state in pipe flow experiments,” <i>Physical Review Letters</i>, vol. 108, no. 21. American Physical Society, 2012.","mla":"De Lózar, Alberto, et al. “Edge State in Pipe Flow Experiments.” <i>Physical Review Letters</i>, vol. 108, no. 21, American Physical Society, 2012, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.108.214502\">10.1103/PhysRevLett.108.214502</a>.","short":"A. De Lózar, F. Mellibovsky, M. Avila, B. Hof, Physical Review Letters 108 (2012)."},"extern":1,"publisher":"American Physical Society","day":"21","date_published":"2012-05-21T00:00:00Z","publication":"Physical Review Letters","abstract":[{"lang":"eng","text":"Recent numerical studies suggest that in pipe and related shear flows, the region of phase space separating laminar from turbulent motion is organized by a chaotic attractor, called an edge state, which mediates the transition process. We here confirm the existence of the edge state in laboratory experiments. We observe that it governs the dynamics during the decay of turbulence underlining its potential relevance for turbulence control. In addition we unveil two unstable traveling wave solutions underlying the experimental flow fields. This observation corroborates earlier suggestions that unstable solutions organize turbulence and its stability border."}],"publist_id":"4086","date_updated":"2021-01-12T06:59:49Z","_id":"2803","type":"journal_article","title":"Edge state in pipe flow experiments","issue":"21","year":"2012","intvolume":"       108","month":"05"},{"intvolume":"       109","year":"2012","month":"08","issue":"6","title":"Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets","date_updated":"2021-01-12T06:59:50Z","type":"journal_article","_id":"2804","abstract":[{"text":"The analysis of the size distribution of droplets condensing on a substrate (breath figures) is a test ground for scaling theories. Here, we show that a faithful description of these distributions must explicitly deal with the growth mechanisms of the droplets. This finding establishes a gateway connecting nucleation and growth of the smallest droplets on surfaces to gross features of the evolution of the droplet size distribution","lang":"eng"}],"publist_id":"4085","day":"10","publisher":"American Physical Society","date_published":"2012-08-10T00:00:00Z","publication":"Physical Review Letters","status":"public","author":[{"full_name":"Blaschke, Johannes","first_name":"Johannes","last_name":"Blaschke"},{"last_name":"Lapp","first_name":"Tobias","full_name":"Lapp, Tobias"},{"first_name":"Björn","full_name":"Björn Hof","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof"},{"last_name":"Vollmer","full_name":"Vollmer, Jürgen T","first_name":"Jürgen"}],"quality_controlled":0,"extern":1,"citation":{"ama":"Blaschke J, Lapp T, Hof B, Vollmer J. Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets. <i>Physical Review Letters</i>. 2012;109(6). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.109.068701\">10.1103/PhysRevLett.109.068701</a>","apa":"Blaschke, J., Lapp, T., Hof, B., &#38; Vollmer, J. (2012). Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.109.068701\">https://doi.org/10.1103/PhysRevLett.109.068701</a>","chicago":"Blaschke, Johannes, Tobias Lapp, Björn Hof, and Jürgen Vollmer. “Breath Figures: Nucleation, Growth, Coalescence, and the Size Distribution of Droplets.” <i>Physical Review Letters</i>. American Physical Society, 2012. <a href=\"https://doi.org/10.1103/PhysRevLett.109.068701\">https://doi.org/10.1103/PhysRevLett.109.068701</a>.","ieee":"J. Blaschke, T. Lapp, B. Hof, and J. Vollmer, “Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets,” <i>Physical Review Letters</i>, vol. 109, no. 6. American Physical Society, 2012.","ista":"Blaschke J, Lapp T, Hof B, Vollmer J. 2012. Breath figures: Nucleation, growth, coalescence, and the size distribution of droplets. Physical Review Letters. 109(6).","mla":"Blaschke, Johannes, et al. “Breath Figures: Nucleation, Growth, Coalescence, and the Size Distribution of Droplets.” <i>Physical Review Letters</i>, vol. 109, no. 6, American Physical Society, 2012, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.109.068701\">10.1103/PhysRevLett.109.068701</a>.","short":"J. Blaschke, T. Lapp, B. Hof, J. Vollmer, Physical Review Letters 109 (2012)."},"doi":"10.1103/PhysRevLett.109.068701","publication_status":"published","date_created":"2018-12-11T11:59:41Z","volume":109},{"day":"01","publisher":"Neural Information Processing Systems","scopus_import":1,"date_published":"2012-12-01T00:00:00Z","abstract":[{"lang":"eng","text":"We study the problem of maximum marginal prediction (MMP) in probabilistic graphical models, a task that occurs, for example, as the Bayes optimal decision rule under a Hamming loss. MMP is typically performed as a two-stage procedure: one estimates each variable's marginal probability and then forms a prediction from the states of maximal probability. In this work we propose a simple yet effective technique for accelerating MMP when inference is sampling-based: instead of the above two-stage procedure we directly estimate the posterior probability of each decision variable. This allows us to identify the point of time when we are sufficiently certain about any individual decision. Whenever this is the case, we dynamically prune the variables we are confident about from the underlying factor graph. Consequently, at any time only samples of variables whose decision is still uncertain need to be created. Experiments in two prototypical scenarios, multi-label classification and image inpainting, show that adaptive sampling can drastically accelerate MMP without sacrificing prediction accuracy."}],"language":[{"iso":"eng"}],"publist_id":"3975","department":[{"_id":"ChLa"}],"volume":1,"publication_status":"published","date_created":"2018-12-11T11:59:48Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa_version":"None","citation":{"ama":"Lampert C. Dynamic pruning of factor graphs for maximum marginal prediction. In: Vol 1. Neural Information Processing Systems; 2012:82-90.","chicago":"Lampert, Christoph. “Dynamic Pruning of Factor Graphs for Maximum Marginal Prediction,” 1:82–90. Neural Information Processing Systems, 2012.","apa":"Lampert, C. (2012). Dynamic pruning of factor graphs for maximum marginal prediction (Vol. 1, pp. 82–90). Presented at the NIPS: Neural Information Processing Systems, Lake Tahoe, NV, United States: Neural Information Processing Systems.","ieee":"C. Lampert, “Dynamic pruning of factor graphs for maximum marginal prediction,” presented at the NIPS: Neural Information Processing Systems, Lake Tahoe, NV, United States, 2012, vol. 1, pp. 82–90.","ista":"Lampert C. 2012. Dynamic pruning of factor graphs for maximum marginal prediction. NIPS: Neural Information Processing Systems vol. 1, 82–90.","mla":"Lampert, Christoph. <i>Dynamic Pruning of Factor Graphs for Maximum Marginal Prediction</i>. Vol. 1, Neural Information Processing Systems, 2012, pp. 82–90.","short":"C. Lampert, in:, Neural Information Processing Systems, 2012, pp. 82–90."},"quality_controlled":"1","status":"public","author":[{"last_name":"Lampert","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8622-7887","full_name":"Lampert, Christoph","first_name":"Christoph"}],"page":"82 - 90","intvolume":"         1","year":"2012","month":"12","_id":"2825","type":"conference","date_updated":"2021-01-12T06:59:59Z","conference":{"start_date":"2012-12-03","end_date":"2012-12-06","location":"Lake Tahoe, NV, United States","name":"NIPS: Neural Information Processing Systems"},"title":"Dynamic pruning of factor graphs for maximum marginal prediction"},{"project":[{"name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","call_identifier":"FP7"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","name":"Rigorous Systems Engineering","call_identifier":"FWF","grant_number":"S 11407_N23"},{"_id":"2584A770-B435-11E9-9278-68D0E5697425","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","grant_number":"P 23499-N23"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"year":"2012","oa":1,"title":"Evolutionary game dynamics in populations with different learners","_id":"2848","date_updated":"2021-01-12T07:00:12Z","external_id":{"pmid":["22394652"]},"day":"21","date_published":"2012-05-21T00:00:00Z","oa_version":"Submitted Version","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"last_name":"Zufferey","id":"4397AC76-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-3197-8736","first_name":"Damien","full_name":"Zufferey, Damien"},{"full_name":"Nowak, Martin","first_name":"Martin","last_name":"Nowak"}],"status":"public","doi":"10.1016/j.jtbi.2012.02.021","pmid":1,"volume":301,"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:59:55Z","intvolume":"       301","month":"05","ec_funded":1,"page":"161 - 173","main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3322297/","open_access":"1"}],"type":"journal_article","abstract":[{"lang":"eng","text":"We study evolutionary game theory in a setting where individuals learn from each other. We extend the traditional approach by assuming that a population contains individuals with different learning abilities. In particular, we explore the situation where individuals have different search spaces, when attempting to learn the strategies of others. The search space of an individual specifies the set of strategies learnable by that individual. The search space is genetically given and does not change under social evolutionary dynamics. We introduce a general framework and study a specific example in the context of direct reciprocity. For this example, we obtain the counter intuitive result that cooperation can only evolve for intermediate benefit-to-cost ratios, while small and large benefit-to-cost ratios favor defection. Our paper is a step toward making a connection between computational learning theory and evolutionary game dynamics."}],"publist_id":"3946","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"language":[{"iso":"eng"}],"publisher":"Elsevier","publication":"Journal of Theoretical Biology","scopus_import":1,"citation":{"ieee":"K. Chatterjee, D. Zufferey, and M. Nowak, “Evolutionary game dynamics in populations with different learners,” <i>Journal of Theoretical Biology</i>, vol. 301. Elsevier, pp. 161–173, 2012.","ista":"Chatterjee K, Zufferey D, Nowak M. 2012. Evolutionary game dynamics in populations with different learners. Journal of Theoretical Biology. 301, 161–173.","mla":"Chatterjee, Krishnendu, et al. “Evolutionary Game Dynamics in Populations with Different Learners.” <i>Journal of Theoretical Biology</i>, vol. 301, Elsevier, 2012, pp. 161–73, doi:<a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">10.1016/j.jtbi.2012.02.021</a>.","short":"K. Chatterjee, D. Zufferey, M. Nowak, Journal of Theoretical Biology 301 (2012) 161–173.","ama":"Chatterjee K, Zufferey D, Nowak M. Evolutionary game dynamics in populations with different learners. <i>Journal of Theoretical Biology</i>. 2012;301:161-173. doi:<a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">10.1016/j.jtbi.2012.02.021</a>","apa":"Chatterjee, K., Zufferey, D., &#38; Nowak, M. (2012). Evolutionary game dynamics in populations with different learners. <i>Journal of Theoretical Biology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">https://doi.org/10.1016/j.jtbi.2012.02.021</a>","chicago":"Chatterjee, Krishnendu, Damien Zufferey, and Martin Nowak. “Evolutionary Game Dynamics in Populations with Different Learners.” <i>Journal of Theoretical Biology</i>. Elsevier, 2012. <a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">https://doi.org/10.1016/j.jtbi.2012.02.021</a>."},"quality_controlled":"1","publication_status":"published"},{"oa_version":"Submitted Version","status":"public","author":[{"last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert","full_name":"Edelsbrunner, Herbert"},{"full_name":"Strelkova, Nataliya","first_name":"Nataliya","last_name":"Strelkova"}],"doi":"10.1070/RM2012v067n06ABEH004820","date_created":"2018-12-11T11:59:55Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","volume":67,"day":"01","date_published":"2012-01-01T00:00:00Z","title":"On the configuration space of Steiner minimal trees","date_updated":"2021-01-12T07:00:13Z","_id":"2849","year":"2012","has_accepted_license":"1","oa":1,"quality_controlled":"1","citation":{"ama":"Edelsbrunner H, Strelkova N. On the configuration space of Steiner minimal trees. <i>Russian Mathematical Surveys</i>. 2012;67(6):1167-1168. doi:<a href=\"https://doi.org/10.1070/RM2012v067n06ABEH004820\">10.1070/RM2012v067n06ABEH004820</a>","chicago":"Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space of Steiner Minimal Trees.” <i>Russian Mathematical Surveys</i>. IOP Publishing Ltd., 2012. <a href=\"https://doi.org/10.1070/RM2012v067n06ABEH004820\">https://doi.org/10.1070/RM2012v067n06ABEH004820</a>.","apa":"Edelsbrunner, H., &#38; Strelkova, N. (2012). On the configuration space of Steiner minimal trees. <i>Russian Mathematical Surveys</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1070/RM2012v067n06ABEH004820\">https://doi.org/10.1070/RM2012v067n06ABEH004820</a>","ieee":"H. Edelsbrunner and N. Strelkova, “On the configuration space of Steiner minimal trees,” <i>Russian Mathematical Surveys</i>, vol. 67, no. 6. IOP Publishing Ltd., pp. 1167–1168, 2012.","ista":"Edelsbrunner H, Strelkova N. 2012. On the configuration space of Steiner minimal trees. Russian Mathematical Surveys. 67(6), 1167–1168.","short":"H. Edelsbrunner, N. Strelkova, Russian Mathematical Surveys 67 (2012) 1167–1168.","mla":"Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space of Steiner Minimal Trees.” <i>Russian Mathematical Surveys</i>, vol. 67, no. 6, IOP Publishing Ltd., 2012, pp. 1167–68, doi:<a href=\"https://doi.org/10.1070/RM2012v067n06ABEH004820\">10.1070/RM2012v067n06ABEH004820</a>."},"publication_status":"published","language":[{"iso":"eng"}],"publist_id":"3943","department":[{"_id":"HeEd"}],"publisher":"IOP Publishing Ltd.","file":[{"file_id":"5078","creator":"system","access_level":"open_access","checksum":"44ee8d173487e8ed41a51136816bbeb4","content_type":"application/pdf","file_name":"IST-2016-546-v1+1_2014-J-05-SteinerMinTrees.pdf","date_updated":"2020-07-14T12:45:51Z","date_created":"2018-12-12T10:14:26Z","file_size":392021,"relation":"main_file"}],"publication":"Russian Mathematical Surveys","file_date_updated":"2020-07-14T12:45:51Z","scopus_import":1,"ddc":["000"],"type":"journal_article","pubrep_id":"546","intvolume":"        67","month":"01","page":"1167 - 1168","issue":"6"},{"abstract":[{"text":"Phytohormones are important plant growth regulators that control many developmental processes, such as cell division, cell differentiation, organogenesis and morphogenesis. They regulate a multitude of apparently unrelated physiological processes, often with overlapping roles, and they mutually modulate their effects. These features imply important synergistic and antagonistic interactions between the various plant hormones. Auxin and cytokinin are central hormones involved in the regulation of plant growth and development, including processes determining root architecture, such as root pole establishment during early embryogenesis, root meristem maintenance and lateral root organogenesis. Thus, to control root development both pathways put special demands on the mechanisms that balance their activities and mediate their interactions. Here, we summarize recent knowledge on the role of auxin and cytokinin in the regulation of root architecture with special focus on lateral root organogenesis, discuss the latest findings on the molecular mechanisms of their interactions, and present forward genetic screen as a tool to identify novel molecular components of the auxin and cytokinin crosstalk.","lang":"eng"}],"publist_id":"3887","publisher":"Royal Society, The","day":"05","date_published":"2012-06-05T00:00:00Z","publication":"Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences","quality_controlled":0,"author":[{"last_name":"Bielach","first_name":"Agnieszka","full_name":"Bielach, Agnieszka"},{"last_name":"Duclercq","first_name":"Jérôme","full_name":"Duclercq, Jérôme"},{"orcid":"0000-0001-5227-5741","full_name":"Peter Marhavy","first_name":"Peter","last_name":"Marhavy","id":"3F45B078-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-8510-9739","full_name":"Eva Benková","first_name":"Eva","last_name":"Benková","id":"38F4F166-F248-11E8-B48F-1D18A9856A87"}],"status":"public","citation":{"apa":"Bielach, A., Duclercq, J., Marhavý, P., &#38; Benková, E. (2012). Genetic approach towards the identification of auxin - cytokinin crosstalk components involved in root development. <i>Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences</i>. Royal Society, The. <a href=\"https://doi.org/10.1098/rstb.2011.0233\">https://doi.org/10.1098/rstb.2011.0233</a>","chicago":"Bielach, Agnieszka, Jérôme Duclercq, Peter Marhavý, and Eva Benková. “Genetic Approach towards the Identification of Auxin - Cytokinin Crosstalk Components Involved in Root Development.” <i>Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences</i>. Royal Society, The, 2012. <a href=\"https://doi.org/10.1098/rstb.2011.0233\">https://doi.org/10.1098/rstb.2011.0233</a>.","ama":"Bielach A, Duclercq J, Marhavý P, Benková E. Genetic approach towards the identification of auxin - cytokinin crosstalk components involved in root development. <i>Philosophical Transactions of the Royal Society of London Series B, Biological Sciences</i>. 2012;367(1595):1469-1478. doi:<a href=\"https://doi.org/10.1098/rstb.2011.0233\">10.1098/rstb.2011.0233</a>","short":"A. Bielach, J. Duclercq, P. Marhavý, E. Benková, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences 367 (2012) 1469–1478.","mla":"Bielach, Agnieszka, et al. “Genetic Approach towards the Identification of Auxin - Cytokinin Crosstalk Components Involved in Root Development.” <i>Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences</i>, vol. 367, no. 1595, Royal Society, The, 2012, pp. 1469–78, doi:<a href=\"https://doi.org/10.1098/rstb.2011.0233\">10.1098/rstb.2011.0233</a>.","ieee":"A. Bielach, J. Duclercq, P. Marhavý, and E. Benková, “Genetic approach towards the identification of auxin - cytokinin crosstalk components involved in root development,” <i>Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences</i>, vol. 367, no. 1595. Royal Society, The, pp. 1469–1478, 2012.","ista":"Bielach A, Duclercq J, Marhavý P, Benková E. 2012. Genetic approach towards the identification of auxin - cytokinin crosstalk components involved in root development. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. 367(1595), 1469–1478."},"extern":1,"doi":"10.1098/rstb.2011.0233","date_created":"2018-12-11T12:00:05Z","publication_status":"published","volume":367,"intvolume":"       367","year":"2012","month":"06","page":"1469 - 1478","oa":1,"issue":"1595","main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3321684/","open_access":"1"}],"title":"Genetic approach towards the identification of auxin - cytokinin crosstalk components involved in root development","date_updated":"2021-01-12T07:00:25Z","_id":"2875","type":"journal_article"},{"_id":"2876","type":"journal_article","date_updated":"2021-01-12T07:00:25Z","title":"Retargeting a maize β-glucosidase to the vacuole - Evidence from intact plants that zeatin-O-glucoside is stored in the vacuole","page":"67 - 77","year":"2012","intvolume":"        79","month":"07","doi":"10.1016/j.phytochem.2012.03.012","volume":79,"publication_status":"published","date_created":"2018-12-11T12:00:05Z","extern":1,"citation":{"chicago":"Kiran, Nagavalli, Eva Benková, Alena Reková, Jaroslava Dubová, Jiří Malbeck, Klaus Palme, and Břetislav Brzobohatý. “Retargeting a Maize β-Glucosidase to the Vacuole - Evidence from Intact Plants That Zeatin-O-Glucoside Is Stored in the Vacuole.” <i>Phytochemistry</i>. Elsevier, 2012. <a href=\"https://doi.org/10.1016/j.phytochem.2012.03.012\">https://doi.org/10.1016/j.phytochem.2012.03.012</a>.","apa":"Kiran, N., Benková, E., Reková, A., Dubová, J., Malbeck, J., Palme, K., &#38; Brzobohatý, B. (2012). Retargeting a maize β-glucosidase to the vacuole - Evidence from intact plants that zeatin-O-glucoside is stored in the vacuole. <i>Phytochemistry</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.phytochem.2012.03.012\">https://doi.org/10.1016/j.phytochem.2012.03.012</a>","ama":"Kiran N, Benková E, Reková A, et al. Retargeting a maize β-glucosidase to the vacuole - Evidence from intact plants that zeatin-O-glucoside is stored in the vacuole. <i>Phytochemistry</i>. 2012;79:67-77. doi:<a href=\"https://doi.org/10.1016/j.phytochem.2012.03.012\">10.1016/j.phytochem.2012.03.012</a>","mla":"Kiran, Nagavalli, et al. “Retargeting a Maize β-Glucosidase to the Vacuole - Evidence from Intact Plants That Zeatin-O-Glucoside Is Stored in the Vacuole.” <i>Phytochemistry</i>, vol. 79, Elsevier, 2012, pp. 67–77, doi:<a href=\"https://doi.org/10.1016/j.phytochem.2012.03.012\">10.1016/j.phytochem.2012.03.012</a>.","short":"N. Kiran, E. Benková, A. Reková, J. Dubová, J. Malbeck, K. Palme, B. Brzobohatý, Phytochemistry 79 (2012) 67–77.","ieee":"N. Kiran <i>et al.</i>, “Retargeting a maize β-glucosidase to the vacuole - Evidence from intact plants that zeatin-O-glucoside is stored in the vacuole,” <i>Phytochemistry</i>, vol. 79. Elsevier, pp. 67–77, 2012.","ista":"Kiran N, Benková E, Reková A, Dubová J, Malbeck J, Palme K, Brzobohatý B. 2012. Retargeting a maize β-glucosidase to the vacuole - Evidence from intact plants that zeatin-O-glucoside is stored in the vacuole. Phytochemistry. 79, 67–77."},"status":"public","quality_controlled":0,"author":[{"last_name":"Kiran","first_name":"Nagavalli","full_name":"Kiran, Nagavalli S"},{"last_name":"Benková","id":"38F4F166-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8510-9739","full_name":"Eva Benková","first_name":"Eva"},{"last_name":"Reková","first_name":"Alena","full_name":"Reková, Alena"},{"first_name":"Jaroslava","full_name":"Dubová, Jaroslava","last_name":"Dubová"},{"last_name":"Malbeck","first_name":"Jiří","full_name":"Malbeck, Jiří"},{"last_name":"Palme","first_name":"Klaus","full_name":"Palme, Klaus"},{"last_name":"Brzobohatý","full_name":"Brzobohatý, Břetislav","first_name":"Břetislav"}],"publisher":"Elsevier","day":"01","publication":"Phytochemistry","date_published":"2012-07-01T00:00:00Z","abstract":[{"lang":"eng","text":"Cytokinin (CK) activity is regulated by the complex interplay of their metabolism, transport, stability and cellular/tissue localization. O-glucosides of zeatin-type CKs are postulated to be storage and/or transport forms. Active CK levels are determined in part by their differential distribution of CK metabolites across different subcellular compartments. We have previously shown that overexpressing chloroplast-localized Zm-p60.1, a maize β-glucosidase capable of releasing active cytokinins from their O- and N3-glucosides, perturbs CK homeostasis in transgenic tobacco. We obtained tobacco (Nicotiana tabacum L., cv Petit Havana SR1) plants overexpressing a recombinant Zm-p60.1 that is targeted to the vacuole. The protein is correctly processed and localized to the vacuole. When grown on medium containing exogenous zeatin, transgenic seedlings rapidly accumulate fresh weight due to ectopic growths at the base of the hypocotyl. The presence of the enzyme in these ectopic structures is shown by histochemical staining. CK quantification reveals that these transgenic seedlings are unable to accumulate zeatin-O-glucoside to levels similar to those observed in the wild type. When crossed with tobacco overexpressing the zeatin-O-glucosyltransferase gene from Phaseolus, the vacuolar variant shows an almost complete reversion in the root elongation assay. This is the first evidence from intact plants that the vacuole is the storage organelle for CK O-glucosides and that they are available to attack by Zm-p60.1. We propose the use of Zm-p60.1 as a robust molecular tool that exploits the reversibility of O-glucosylation and enables delicate manipulations of active CK content at the cellular level."}],"publist_id":"3886"},{"_id":"2878","type":"journal_article","date_updated":"2021-01-12T07:00:26Z","title":"Pin1 independent leaf initiation in Arabidopsis","issue":"4","page":"1501 - 1510","month":"08","year":"2012","intvolume":"       159","volume":159,"publication_status":"published","date_created":"2018-12-11T12:00:06Z","doi":"10.1104/pp.112.200402","citation":{"chicago":"Guenot, Bernadette, Emmanuelle Bayer, Daniel Kierzkowski, Richard Smith, Therese Mandel, Petra Žádníková, Eva Benková, and Cris Kuhlemeier. “Pin1 Independent Leaf Initiation in Arabidopsis.” <i>Plant Physiology</i>. American Society of Plant Biologists, 2012. <a href=\"https://doi.org/10.1104/pp.112.200402\">https://doi.org/10.1104/pp.112.200402</a>.","apa":"Guenot, B., Bayer, E., Kierzkowski, D., Smith, R., Mandel, T., Žádníková, P., … Kuhlemeier, C. (2012). Pin1 independent leaf initiation in Arabidopsis. <i>Plant Physiology</i>. American Society of Plant Biologists. <a href=\"https://doi.org/10.1104/pp.112.200402\">https://doi.org/10.1104/pp.112.200402</a>","ama":"Guenot B, Bayer E, Kierzkowski D, et al. Pin1 independent leaf initiation in Arabidopsis. <i>Plant Physiology</i>. 2012;159(4):1501-1510. doi:<a href=\"https://doi.org/10.1104/pp.112.200402\">10.1104/pp.112.200402</a>","short":"B. Guenot, E. Bayer, D. Kierzkowski, R. Smith, T. Mandel, P. Žádníková, E. Benková, C. Kuhlemeier, Plant Physiology 159 (2012) 1501–1510.","mla":"Guenot, Bernadette, et al. “Pin1 Independent Leaf Initiation in Arabidopsis.” <i>Plant Physiology</i>, vol. 159, no. 4, American Society of Plant Biologists, 2012, pp. 1501–10, doi:<a href=\"https://doi.org/10.1104/pp.112.200402\">10.1104/pp.112.200402</a>.","ista":"Guenot B, Bayer E, Kierzkowski D, Smith R, Mandel T, Žádníková P, Benková E, Kuhlemeier C. 2012. Pin1 independent leaf initiation in Arabidopsis. Plant Physiology. 159(4), 1501–1510.","ieee":"B. Guenot <i>et al.</i>, “Pin1 independent leaf initiation in Arabidopsis,” <i>Plant Physiology</i>, vol. 159, no. 4. American Society of Plant Biologists, pp. 1501–1510, 2012."},"extern":1,"author":[{"last_name":"Guenot","full_name":"Guenot, Bernadette","first_name":"Bernadette"},{"full_name":"Bayer, Emmanuelle","first_name":"Emmanuelle","last_name":"Bayer"},{"full_name":"Kierzkowski, Daniel","first_name":"Daniel","last_name":"Kierzkowski"},{"full_name":"Smith, Richard S","first_name":"Richard","last_name":"Smith"},{"first_name":"Therese","full_name":"Mandel, Therese","last_name":"Mandel"},{"full_name":"Žádníková, Petra","first_name":"Petra","last_name":"Žádníková"},{"last_name":"Benková","id":"38F4F166-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8510-9739","first_name":"Eva","full_name":"Eva Benková"},{"full_name":"Kuhlemeier, Cris","first_name":"Cris","last_name":"Kuhlemeier"}],"status":"public","quality_controlled":0,"publication":"Plant Physiology","date_published":"2012-08-01T00:00:00Z","day":"01","publisher":"American Society of Plant Biologists","publist_id":"3884","abstract":[{"lang":"eng","text":"Phyllotaxis, the regular arrangement of leaves and flowers around the stem, is a key feature of plant architecture. Current models propose that the spatiotemporal regulation of organ initiation is controlled by a positive feedback loop between the plant hormone auxin and its efflux carrier PIN-FORMED1 (PIN1). Consequently, pin1 mutants give rise to naked inflorescence stalks with few or no flowers, indicating that PIN1 plays a crucial role in organ initiation. However, pin1 mutants do produce leaves. In order to understand the regulatory mechanisms controlling leaf initiation in Arabidopsis (Arabidopsis thaliana) rosettes, we have characterized the vegetative pin1 phenotype in detail. We show that although the timing of leaf initiation in vegetative pin1 mutants is variable and divergence angles clearly deviate from the canonical 137° value, leaves are not positioned at random during early developmental stages. Our data further indicate that other PIN proteins are unlikely to explain the persistence of leaf initiation and positioning during pin1 vegetative development. Thus, phyllotaxis appears to be more complex than suggested by current mechanistic models."}]},{"extern":1,"citation":{"mla":"Bencivenga, Stefano, et al. “The Transcription Factors BEL1 and SPL Are Required for Cytokinin and Auxin Signaling during Ovule Development in Arabidopsis.” <i>Plant Cell</i>, vol. 24, no. 7, American Society of Plant Biologists, 2012, pp. 2886–97, doi:<a href=\"https://doi.org/10.1105/tpc.112.100164\">10.1105/tpc.112.100164</a>.","short":"S. Bencivenga, S. Simonini, E. Benková, L. Colombo, Plant Cell 24 (2012) 2886–2897.","ieee":"S. Bencivenga, S. Simonini, E. Benková, and L. Colombo, “The transcription factors BEL1 and SPL are required for cytokinin and auxin signaling during ovule development in Arabidopsis,” <i>Plant Cell</i>, vol. 24, no. 7. American Society of Plant Biologists, pp. 2886–2897, 2012.","ista":"Bencivenga S, Simonini S, Benková E, Colombo L. 2012. The transcription factors BEL1 and SPL are required for cytokinin and auxin signaling during ovule development in Arabidopsis. Plant Cell. 24(7), 2886–2897.","chicago":"Bencivenga, Stefano, Sara Simonini, Eva Benková, and Lucia Colombo. “The Transcription Factors BEL1 and SPL Are Required for Cytokinin and Auxin Signaling during Ovule Development in Arabidopsis.” <i>Plant Cell</i>. American Society of Plant Biologists, 2012. <a href=\"https://doi.org/10.1105/tpc.112.100164\">https://doi.org/10.1105/tpc.112.100164</a>.","apa":"Bencivenga, S., Simonini, S., Benková, E., &#38; Colombo, L. (2012). The transcription factors BEL1 and SPL are required for cytokinin and auxin signaling during ovule development in Arabidopsis. <i>Plant Cell</i>. American Society of Plant Biologists. <a href=\"https://doi.org/10.1105/tpc.112.100164\">https://doi.org/10.1105/tpc.112.100164</a>","ama":"Bencivenga S, Simonini S, Benková E, Colombo L. The transcription factors BEL1 and SPL are required for cytokinin and auxin signaling during ovule development in Arabidopsis. <i>Plant Cell</i>. 2012;24(7):2886-2897. doi:<a href=\"https://doi.org/10.1105/tpc.112.100164\">10.1105/tpc.112.100164</a>"},"quality_controlled":0,"status":"public","author":[{"last_name":"Bencivenga","first_name":"Stefano","full_name":"Bencivenga, Stefano"},{"first_name":"Sara","full_name":"Simonini, Sara","last_name":"Simonini"},{"last_name":"Benková","id":"38F4F166-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8510-9739","full_name":"Eva Benková","first_name":"Eva"},{"last_name":"Colombo","full_name":"Colombo, Lucia","first_name":"Lucia"}],"doi":"10.1105/tpc.112.100164","volume":24,"date_created":"2018-12-11T12:00:06Z","publication_status":"published","abstract":[{"lang":"eng","text":"Hormones, such as auxin and cytokinin, are involved in the complex molecular network that regulates the coordinated development of plant organs. Genes controlling ovule patterning have been identified and studied in detail; however, the roles of auxin and cytokinin in ovule development are largely unknown. Here we show that key cytokinin pathway genes, such as isopentenyltransferase and cytokinin receptors, are expressed during ovule development. Also, in a cre1-12 ahk2-2 ahk3-3 triple mutant with severely reduced cytokinin perception, expression of the auxin efflux facilitator PIN-FORMED 1 (PIN1) was severely reduced. In sporocyteless/nozzle (spl/nzz) mutants, which show a similar phenotype to the cre1-12 ahk2-2 ahk3-3 triple mutant, PIN1 expression is also reduced. Treatment with the exogenous cytokinin N6-benzylaminopurine also altered both auxin distribution and patterning of the ovule; this process required the homeodomain transcription factor BELL1 (BEL1). Thus, this article shows that cytokinin regulates ovule development through the regulation of PIN1. Furthermore, the transcription factors BEL1 and SPL/NZZ, previously described as key regulators of ovule development, are needed for the auxin and cytokinin signaling pathways for the correct patterning of the ovule."}],"publist_id":"3885","publisher":"American Society of Plant Biologists","day":"01","publication":"Plant Cell","date_published":"2012-07-01T00:00:00Z","title":"The transcription factors BEL1 and SPL are required for cytokinin and auxin signaling during ovule development in Arabidopsis","_id":"2879","type":"journal_article","date_updated":"2021-01-12T07:00:26Z","year":"2012","intvolume":"        24","month":"07","page":"2886 - 2897","issue":"7"},{"day":"01","date_published":"2012-09-01T00:00:00Z","oa_version":"None","status":"public","author":[{"last_name":"Henzinger","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","orcid":"0000−0002−2985−7724","first_name":"Thomas A","full_name":"Henzinger, Thomas A"}],"doi":"10.1007/978-3-642-33666-9_1","date_created":"2018-12-11T12:00:09Z","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","volume":7590,"project":[{"name":"Quantitative Reactive Modeling","_id":"25EE3708-B435-11E9-9278-68D0E5697425","grant_number":"267989","call_identifier":"FP7"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","name":"Rigorous Systems Engineering","call_identifier":"FWF","grant_number":"S 11407_N23"}],"year":"2012","title":"Quantitative reactive models","date_updated":"2021-01-12T07:00:29Z","_id":"2888","conference":{"start_date":"2012-09-30","end_date":"2012-10-05","name":"MODELS: Model-driven Engineering Languages and Systems","location":"Innsbruck, Austria"},"abstract":[{"lang":"eng","text":"Formal verification aims to improve the quality of hardware and software by detecting errors before they do harm. At the basis of formal verification lies the logical notion of correctness, which purports to capture whether or not a circuit or program behaves as desired. We suggest that the boolean partition into correct and incorrect systems falls short of the practical need to assess the behavior of hardware and software in a more nuanced fashion against multiple criteria."}],"department":[{"_id":"ToHe"}],"publist_id":"3870","language":[{"iso":"eng"}],"publisher":"Springer","publication":"Conference proceedings MODELS 2012","scopus_import":1,"quality_controlled":"1","alternative_title":["LNCS"],"citation":{"mla":"Henzinger, Thomas A. “Quantitative Reactive Models.” <i>Conference Proceedings MODELS 2012</i>, vol. 7590, Springer, 2012, pp. 1–2, doi:<a href=\"https://doi.org/10.1007/978-3-642-33666-9_1\">10.1007/978-3-642-33666-9_1</a>.","short":"T.A. Henzinger, in:, Conference Proceedings MODELS 2012, Springer, 2012, pp. 1–2.","ieee":"T. A. Henzinger, “Quantitative reactive models,” in <i>Conference proceedings MODELS 2012</i>, Innsbruck, Austria, 2012, vol. 7590, pp. 1–2.","ista":"Henzinger TA. 2012. Quantitative reactive models. Conference proceedings MODELS 2012. MODELS: Model-driven Engineering Languages and Systems, LNCS, vol. 7590, 1–2.","chicago":"Henzinger, Thomas A. “Quantitative Reactive Models.” In <i>Conference Proceedings MODELS 2012</i>, 7590:1–2. Springer, 2012. <a href=\"https://doi.org/10.1007/978-3-642-33666-9_1\">https://doi.org/10.1007/978-3-642-33666-9_1</a>.","apa":"Henzinger, T. A. (2012). Quantitative reactive models. In <i>Conference proceedings MODELS 2012</i> (Vol. 7590, pp. 1–2). Innsbruck, Austria: Springer. <a href=\"https://doi.org/10.1007/978-3-642-33666-9_1\">https://doi.org/10.1007/978-3-642-33666-9_1</a>","ama":"Henzinger TA. Quantitative reactive models. In: <i>Conference Proceedings MODELS 2012</i>. Vol 7590. Springer; 2012:1-2. doi:<a href=\"https://doi.org/10.1007/978-3-642-33666-9_1\">10.1007/978-3-642-33666-9_1</a>"},"publication_status":"published","intvolume":"      7590","month":"09","page":"1 - 2","ec_funded":1,"type":"conference"}]