@article{166,
abstract = {For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.},
author = {Browning, Timothy D and Swarbick Jones, M},
journal = {Proceedings of the Bonn session in analytic number theory and diophantine equations},
publisher = {Mathematisches Institut der Universität Bonn},
title = {{Counting rational points on del Pezzo surfaces of degree 5}},
volume = {360},
year = {2003},
}
@article{1959,
abstract = {The molecular organization of bacterial NADH: ubiquinone oxidoreductase (complex I or NDH-1) is not established, apart from a rough separation into dehydrogenase, connecting and membrane domains. In this work, complex I was purified from Escherichia coli and fragmented by replacing dodecylmaltoside with other detergents. Exchange into decyl maltoside led to the removal of the hydrophobic subunit NuoL from the otherwise intact complex. Diheptanoyl phosphocholine led to the loss of NuoL and NuoM subunits, whereas other subunits remained in the complex. The presence of N,N-dimethyldodecylamine N-oxide or Triton X-100 led to further disruption of the membrane domain into fragments containing NuoL/M/N, NuoA/K/N, and NuoH/J subunits. Among the hydrophilic subunits, NuoCD was most readily dissociated from the complex, whereas NuoB was partially dissociated from the peripheral arm assembly in N,N-dimethyldodecylamine N-oxide. A model of subunit arrangement in bacterial complex I based on these data is proposed. Subunits NuoL and NuoM, which are homologous to antiporters and are implicated in proton pumping, are located at the distal end of the membrane arm, spatially separated from the redox centers of the peripheral arm. This is consistent with proposals that the mechanism of proton pumping by complex I is likely to involve long range conformational changes.},
author = {Holt, Peter J and Morgan, David J and Leonid Sazanov},
journal = {Journal of Biological Chemistry},
number = {44},
pages = {43114 -- 43120},
publisher = {American Society for Biochemistry and Molecular Biology},
title = {{The location of NuoL and NuoM subunits in the membrane domain of the Escherichia coli Complex I: implications for the mechanism of proton pumping}},
doi = {10.1074/jbc.M308247200},
volume = {278},
year = {2003},
}
@article{1960,
abstract = {NADH-ubiquinone oxidoreductase (complex I or NDH-1) was purified from the BL21 strain of Escherichia coli using an improved procedure. The complex was effectively stabilized by addition of divalent cations and lipids, making the preparation suitable for structural studies. The ubiquinone reductase activity of the enzyme was fully restored by addition of native E. coli lipids. Two different two-dimensional crystal forms, with p2 and p3 symmetry, were obtained using lipids containing native E. coli extracts. Analysis of the crystals showed that they are formed by fully intact complex I in an L-shaped conformation. Activity assays and single particle analysis indicated that complex I maintains this structure in detergent solution and does not adopt a different conformation in the active state. Thus, we provide the first experimental evidence that complex I from E. coli has an L-shape in a lipid bilayer and confirm that this is also the case for the active enzyme in solution. This suggests strongly that bacterial complex I exists in an L-shaped conformation in vivo. Our results also indicate that native lipids play an important role in the activation, stabilization and, as a consequence, crystallization of purified complex I from E. coli.},
author = {Leonid Sazanov and Carroll, Joe D and Holt, Peter J and Toime, Laurence J and Fearnley, Ian M},
journal = {Journal of Biological Chemistry},
number = {21},
pages = {19483 -- 19491},
publisher = {American Society for Biochemistry and Molecular Biology},
title = {{A role for native lipids in the stabilization and two dimensional crystallization of the Escherichia coli NADH ubiquinone oxidoreductase (complex I)}},
doi = {10.1074/jbc.M208959200},
volume = {278},
year = {2003},
}
@article{205,
author = {Timothy Browning},
journal = {Acta Arithmetica},
number = {3},
pages = {275 -- 295},
publisher = {Instytut Matematyczny},
title = {{Counting rational points on cubic and quartic surfaces}},
doi = {10.4064/aa108-3-7},
volume = {108},
year = {2003},
}
@article{206,
abstract = {Let T ⊂ ℙ 4 be a non-singular threefold of degree at least four. Then we show that the number of points in T(ℚ), with height at most B, is o(B 3) or B → ∞.},
author = {Timothy Browning},
journal = {Quarterly Journal of Mathematics},
number = {1},
pages = {33 -- 39},
publisher = {Unknown},
title = {{A note on the distribution of rational points on threefolds}},
doi = {10.1093/qjmath/54.1.33},
volume = {54},
year = {2003},
}
@article{207,
author = {Browning, Timothy D},
journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
number = {3},
pages = {385 -- 395},
publisher = {Cambridge University Press},
title = {{Sums of four biquadrates}},
doi = {10.1017/S0305004102006382},
volume = {134},
year = {2003},
}
@article{208,
abstract = {For any ε > 0 and any diagonal quadratic form Q ∈ ℤ[x 1, x 2, x 3, x 4] with a square-free discriminant of modulus Δ Q ≠ 0, we establish the uniform estimate ≪ε B 3/2+ε + B 2+ε/Δ Q 1/6 for the number of rational points of height at most B lying in the projective surface Q = 0.},
author = {Timothy Browning},
journal = {Quarterly Journal of Mathematics},
number = {1},
pages = {11 -- 31},
publisher = {Oxford University Press},
title = {{Counting rational points on diagonal quadratic surfaces}},
doi = {10.1093/qjmath/54.1.11},
volume = {54},
year = {2003},
}
@inproceedings{2337,
author = {Lieb, Élliott H and Robert Seiringer},
editor = {Karpeshina, Yulia and Weikard, Rudi and Zeng, Yanni},
pages = {239 -- 250},
publisher = {American Mathematical Society},
title = {{Bose-Einstein condensation of dilute gases in traps }},
doi = {10.1090/conm/327/05818},
volume = {327},
year = {2003},
}
@article{2354,
abstract = {We investigate the ground state properties of a gas of interacting particles confined in an external potential in three dimensions and subject to rotation around an axis of symmetry. We consider the Gross-Pitaevskii (GP) limit of a dilute gas. Analysing both the absolute and the bosonic ground states of the system, we show, in particular, their different behaviour for a certain range of parameters. This parameter range is determined by the question whether the rotational symmetry in the minimizer of the GP functional is broken or not. For the absolute ground state, we prove that in the GP limit a modified GP functional depending on density matrices correctly describes the energy and reduced density matrices, independent of symmetry breaking. For the bosonic ground state this holds true if and only if the symmetry is unbroken.},
author = {Robert Seiringer},
journal = {Journal of Physics A: Mathematical and Theoretical},
number = {37},
pages = {9755 -- 9778},
publisher = {IOP Publishing Ltd.},
title = {{Ground state asymptotics of a dilute, rotating gas}},
doi = {10.1088/0305-4470/36/37/312},
volume = {36},
year = {2003},
}
@article{2357,
abstract = {The classic Poincaré inequality bounds the L q-norm of a function f in a bounded domain Ω ⊂ ℝ n in terms of some L p-norm of its gradient in Ω. We generalize this in two ways: In the first generalization we remove a set Τ from Ω and concentrate our attention on Λ = Ω \ Τ. This new domain might not even be connected and hence no Poincaré inequality can generally hold for it, or if it does hold it might have a very bad constant. This is so even if the volume of Τ is arbitrarily small. A Poincaré inequality does hold, however, if one makes the additional assumption that f has a finite L p gradient norm on the whole of Ω, not just on Λ. The important point is that the Poincaré inequality thus obtained bounds the L q-norm of f in terms of the L p gradient norm on Λ (not Ω) plus an additional term that goes to zero as the volume of Τ goes to zero. This error term depends on Τ only through its volume. Apart from this additive error term, the constant in the inequality remains that of the 'nice' domain Ω. In the second generalization we are given a vector field A and replace ∇ by ∇ + iA(x) (geometrically, a connection on a U(1) bundle). Unlike the A = 0 case, the infimum of ∥(∇ + iA)f∥ p over all f with a given ∥f∥ q is in general not zero. This permits an improvement of the inequality by the addition of a term whose sharp value we derive. We describe some open problems that arise from these generalizations.},
author = {Lieb, Élliott H and Robert Seiringer and Yngvason, Jakob},
journal = {Annals of Mathematics},
number = {3},
pages = {1067 -- 1080},
publisher = {Princeton University Press},
title = {{Poincaré inequalities in punctured domains}},
doi = {10.4007/annals.2003.158.1067 },
volume = {158},
year = {2003},
}