@inproceedings{2319, abstract = {In a recent paper [7] we give the first rigorous derivation of the celebrated Ginzburg-Landau (GL)theory, starting from the microscopic Bardeen- Cooper-Schrieffer (BCS)model. Here we present our results in the simplified case of a one-dimensional system of particles interacting via a δ-potential.}, author = {Frank, Rupert L and Hainzl, Christian and Robert Seiringer and Solovej, Jan P}, pages = {57 -- 88}, publisher = {Springer}, title = {{ Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction}}, doi = {10.1007/978-3-0348-0531-5_3}, year = {2013}, } @inproceedings{2328, abstract = {Linearizability of concurrent data structures is usually proved by monolithic simulation arguments relying on identifying the so-called linearization points. Regrettably, such proofs, whether manual or automatic, are often complicated and scale poorly to advanced non-blocking concurrency patterns, such as helping and optimistic updates. In response, we propose a more modular way of checking linearizability of concurrent queue algorithms that does not involve identifying linearization points. We reduce the task of proving linearizability with respect to the queue specification to establishing four basic properties, each of which can be proved independently by simpler arguments. As a demonstration of our approach, we verify the Herlihy and Wing queue, an algorithm that is challenging to verify by a simulation proof.}, author = {Henzinger, Thomas A and Sezgin, Ali and Vafeiadis, Viktor}, location = {Buenos Aires, Argentina}, pages = {242 -- 256}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Aspect-oriented linearizability proofs}}, doi = {10.1007/978-3-642-40184-8_18}, volume = {8052}, year = {2013}, } @article{2404, abstract = {The Lieb-Thirring inequalities give a bound on the negative eigenvalues of a Schrödinger operator in terms of an Lp-norm of the potential. These are dual to bounds on the H1-norms of a system of orthonormal functions. Here we extend these bounds to analogous inequalities for perturbations of the Fermi sea of noninteracting particles (i.e., for perturbations of the continuous spectrum of the Laplacian by local potentials).}, author = {Frank, Rupert L and Lewin, Mathieu and Lieb, Élliott H and Robert Seiringer}, journal = {Duke Mathematical Journal}, number = {3}, pages = {435 -- 495}, publisher = {Duke University Press}, title = {{A positive density analogue of the Lieb-Thirring inequality}}, doi = {10.1215/00127094-2019477}, volume = {162}, year = {2013}, } @article{2406, abstract = {We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval. We prove that, in the Gross-Pitaevskii limit, Bose Einstein condensation takes place in the whole parameter range considered. The character of the wave function of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers or strong interactions the wave function extends over the whole interval. High density of scatterers and weak interaction, on the other hand, leads to localization of the wave function in a fragmented subset of the unit interval.}, author = {Robert Seiringer and Yngvason, Jakob and Zagrebnov, Valentin A}, journal = {European Physical Journal: Special Topics}, number = {1}, pages = {103 -- 107}, publisher = {Springer}, title = {{Condensation of interacting bosons in a random potential}}, doi = {10.1140/epjst/e2013-01759-5}, volume = {217}, year = {2013}, } @article{2405, abstract = {We consider the bipolaron in the Pekar-Tomasevich approximation and address the question whether the ground state is spherically symmetric or not. Numerical analysis has, so far, not completely settled the question. Our contribution is to prove rigorously that the ground state remains spherical for small values of the electron-electron Coulomb repulsion.}, author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer}, journal = {Communications in Mathematical Physics}, number = {2}, pages = {557 -- 573}, publisher = {Springer}, title = {{Symmetry of bipolaron bound states for small Coulomb repulsion}}, doi = {10.1007/s00220-012-1604-y}, volume = {319}, year = {2013}, }