@misc{2312,
abstract = {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 = {Gaia Novarino and Akizu, Naiara and Gleeson, Joseph G},
booktitle = {Cell},
number = {1},
pages = {70 -- 79},
publisher = {Cell Press},
title = {{Modeling human disease in humans: The ciliopathies}},
doi = {10.1016/j.cell.2011.09.014},
volume = {147},
year = {2011},
}
@inproceedings{2320,
abstract = {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 = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E},
pages = {21 -- 32},
publisher = {World Scientific Publishing},
title = {{Binding, stability, and non-binding of multi-polaron systems}},
doi = {10.1142/9789814350365_0002},
year = {2011},
}
@inproceedings{2321,
abstract = {We derive a sharp bound on the location of non-positive eigenvalues of Schrödinger operators on the half-line with complex-valued potentials.},
author = {Frank, Rupert L and Laptev, Ari and Robert Seiringer},
pages = {39 -- 44},
publisher = {Springer},
title = {{ A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials}},
doi = {10.1007/978-3-7643-9994-8_3},
volume = {214},
year = {2011},
}
@article{233,
abstract = {For an irreducible polynomial in at most two variables the problem of representing power-free integers is investigated. },
author = {Timothy Browning},
journal = {Archiv der Mathematik},
number = {2},
pages = {139 -- 150},
publisher = {Birkhäuser},
title = {{Power-free values of polynomials}},
doi = {10.1007/s00013-011-0224-7},
volume = {96},
year = {2011},
}
@article{234,
abstract = {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 = {Timothy Browning},
journal = {Journal de Theorie des Nombres de Bordeaux},
number = {3},
pages = {579 -- 602},
publisher = {Universite de Bordeaux},
title = {{The divisor problem for binary cubic forms}},
doi = {10.5802/jtnb.778},
volume = {23},
year = {2011},
}
@article{235,
abstract = {For given positive integers m and n, we consider the frequency of representations of m/n as a sum of unit fractions.},
author = {Browning, Timothy D and Elsholtz, Christian},
journal = {Illinois Journal of Mathematics},
number = {2},
pages = {685 -- 696},
publisher = {University of Illinois Press},
title = {{The number of representations of rationals as a sum of unit fractions}},
volume = {55},
year = {2011},
}
@article{236,
abstract = {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.},
author = {de la Bretèche, Régis and Timothy Browning},
journal = {Duke Mathematical Journal},
number = {1},
pages = {1 -- 69},
publisher = {Duke University Press},
title = {{Manin's conjecture for quartic Del Pezzo surfaces with a conic fibration}},
doi = {10.1215/00127094-1443466},
volume = {160},
year = {2011},
}
@article{239,
abstract = {An effective search bound is established for the least non-trivial integer zero of an arbitrary cubic form C ε ℤ[X 1,...,X n], provided that n ≥ 17.},
author = {Timothy Browning and Dietmann, Rainer and Elliott, Peter},
journal = {Mathematische Annalen},
number = {3},
pages = {745 -- 778},
publisher = {Springer},
title = {{Least zero of a cubic form}},
doi = {10.1007/s00208-011-0651-6},
volume = {352},
year = {2011},
}
@article{2390,
abstract = {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 = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E},
journal = {Publications Mathematiques de l Institut des Hautes Etudes Scientifiques},
number = {1},
pages = {39 -- 67},
publisher = {Springer},
title = {{Stability and absence of binding for multi-polaron systems}},
doi = {10.1007/s10240-011-0031-5},
volume = {113},
year = {2011},
}
@article{2391,
abstract = {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 = {Frank, Rupert L and Lewin, Mathieu and Lieb, Élliott H and Robert Seiringer},
journal = {Physical Review Letters},
number = {15},
publisher = {American Physical Society},
title = {{Energy cost to make a hole in the fermi sea}},
doi = {10.1103/PhysRevLett.106.150402},
volume = {106},
year = {2011},
}