TY - JOUR
AB - Eukaryotic chromatin is separated into functional domains differentiated by posttranslational histone modifications, histone variants, and DNA methylation1–6. Methylation is associated with repression of transcriptional initiation in plants and animals, and is frequently found in transposable elements. Proper methylation patterns are critical for eukaryotic development4,5, and aberrant methylation-induced silencing of tumor suppressor genes is a common feature of human cancer7. In contrast to methylation, the histone variant H2A.Z is preferentially deposited by the Swr1 ATPase complex near 5′ ends of genes where it promotes transcriptional competence8–20. How DNA methylation and H2A.Z influence transcription remains largely unknown. Here we show that in the plant Arabidopsis thaliana, regions of DNA methylation are quantitatively deficient in H2A.Z. Exclusion of H2A.Z is seen at sites of DNA methylation in the bodies of actively transcribed genes and in methylated transposons. Mutation of the MET1 DNA methyltransferase, which causes both losses and gains of DNA methylation4,5, engenders opposite changes in H2A.Z deposition, while mutation of the PIE1 subunit of the Swr1 complex that deposits H2A.Z17 leads to genome-wide hypermethylation. Our findings indicate that DNA methylation can influence chromatin structure and effect gene silencing by excluding H2A.Z, and that H2A.Z protects genes from DNA methylation.
AU - ZILBERMAN, Daniel
AU - Coleman-Derr, Devin
AU - Ballinger, Tracy
AU - Henikoff, Steven
ID - 9457
IS - 7218
JF - Nature
KW - Multidisciplinary
SN - 0028-0836
TI - Histone H2A.Z and DNA methylation are mutually antagonistic chromatin marks
VL - 456
ER -
TY - JOUR
AB - It was recently shown by Hansen that the Wigner-Yanase entropy is, for general states of quantum systems, not subadditive with respect to decomposition into two subsystems, although this property is known to hold for pure states. We investigate the question whether the weaker property of subadditivity for pure states with respect to decomposition into more than two subsystems holds. This property would have interesting applications in quantum chemistry. We show, however, that it does not hold in general, and provide a counterexample.
AU - Robert Seiringer
ID - 2367
IS - 3
JF - Letters in Mathematical Physics
TI - On the failure of subadditivity of the Wigner-Yanase entropy
VL - 80
ER -
TY - JOUR
AB - After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long-range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented. The proof is based on a rigorous validation of Bogoliubov's c-number substitution for the k = 0 mode operator α0.
AU - Lieb, Élliott H
AU - Robert Seiringer
AU - Yngvason, Jakob
ID - 2370
IS - 3
JF - Reports on Mathematical Physics
TI - Bose-Einstein condensation and spontaneous symmetry breaking
VL - 59
ER -
TY - JOUR
AB - We give a proof of stability of relativistic matter with magnetic fields all the way up to the critical value of the nuclear charge Zα = 2/π.
AU - Frank, Rupert L
AU - Lieb, Élliott H
AU - Robert Seiringer
ID - 2371
IS - 2
JF - Communications in Mathematical Physics
TI - Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
VL - 275
ER -
TY - JOUR
AB - The increasing interest in the Müller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the Hartree-Fock (HF) functional, but with a modified exchange term in which the square of the density matrix γ(x, x′) is replaced by the square of γ1 2 (x, x′). After an extensive introductory discussion of density-matrix-functional theory we show, among other things, that this functional is convex (unlike the HF functional) and that energy minimizing γ 's have unique densities ρ(r), which is a physically desirable property often absent in HF theory. We show that minimizers exist if N≤Z, and derive various properties of the minimal energy and the corresponding minimizers. We also give a precise statement about the equation for the orbitals of γ, which is more complex than for HF theory. We state some open mathematical questions about the theory together with conjectured solutions.
AU - Frank, Rupert L
AU - Lieb, Élliott H
AU - Robert Seiringer
AU - Siedentop, Heinz K
ID - 2372
IS - 5
JF - Physical Review A - Atomic, Molecular, and Optical Physics
TI - Müller's exchange-correlation energy in density-matrix-functional theory
VL - 76
ER -
TY - JOUR
AB - For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as γ"0. We derive necessary and sufficient conditions onV(x) for the existence of a nontrivial solution for all values of γ>0.
AU - Frank, Rupert L
AU - Hainzl, Christian
AU - Naboko, Serguei N
AU - Robert Seiringer
ID - 2373
IS - 4
JF - Journal of Geometric Analysis
TI - The critical temperature for the BCS equation at weak coupling
VL - 17
ER -
TY - JOUR
AB - We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.
AU - Frank, Rupert L
AU - Lieb, Élliott H
AU - Robert Seiringer
ID - 2375
IS - 2-3
JF - Letters in Mathematical Physics
TI - Number of bound states of Schrödinger operators with matrix-valued potentials
VL - 82
ER -
TY - CHAP
AU - László Erdös
ED - Gesztesy, Fritz
ED - Deift, Percy
ED - Galvez, Percy
ED - Perry, Peter
ED - Schlag, Wilhelm
ID - 2705
T2 - Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon's 60th Birthday
TI - Recent developments in quantum mechanics with magnetic fields
VL - 76
ER -
TY - JOUR
AB - In quantum information science, the phase of a wave function plays an important role in encoding information. Although most experiments in this field rely on dynamic effects to manipulate this information, an alternative approach is to use geometric phase, which has been argued to have potential fault tolerance. We demonstrated the controlled accumulation of a geometric phase, Berry's phase, in a superconducting qubit; we manipulated the qubit geometrically by means of microwave radiation and observed the accumulated phase in an interference experiment. We found excellent agreement with Berry's predictions and also observed a geometry-dependent contribution to dephasing.
AU - Leek, Peter J
AU - Johannes Fink
AU - Blais, Alexandre
AU - Bianchetti, R
AU - Göppl, M
AU - Gambetta, Jay M
AU - Schuster, David I
AU - Frunzio, Luigi
AU - Schoelkopf, Robert J
AU - Wallraff, Andreas
ID - 1762
IS - 5858
JF - Science
TI - Observation of Berry's phase in a solid-state qubit
VL - 318
ER -
TY - CONF
AB - We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing.
AU - Bernd Bickel
AU - Botsch, Mario
AU - Angst, Roland
AU - Matusik, Wojciech
AU - Otaduy, Miguel A
AU - Pfister, Hanspeter
AU - Groß, Markus S
ID - 2091
TI - Multi scale capture of facial geometry and motion
ER -
TY - JOUR
AB - We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing.
AU - Bernd Bickel
AU - Botsch, Mario
AU - Angst, Roland
AU - Matusik, Wojciech
AU - Otaduy, Miguel A
AU - Pfister, Hanspeter
AU - Groß, Markus S
ID - 2093
IS - 3
JF - ACM Transactions on Graphics
TI - Multi scale capture of facial geometry and motion
VL - 26
ER -
TY - JOUR
AB - We extend to infinite dimensions an explicit formula of Chill, Fašangová, Metafune, and Pallara for the optimal angle of analyticity of analytic Ornstein-Uhlenbeck semigroups. The main ingredient is an abstract representation of the Ornstein-Uhlenbeck operator in divergence form.
AU - Jan Maas
AU - van Neerven, Jan M
ID - 2118
IS - 3
JF - Archiv der Mathematik
TI - On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
VL - 89
ER -
TY - JOUR
AU - De La Bretèche, Régis
AU - Browning, Timothy D
ID - 221
IS - 1
JF - Michigan Mathematical Journal
TI - On Manin's conjecture for singular del Pezzo surfaces of degree four, I
VL - 55
ER -
TY - JOUR
AB - Acknowledgements. The authors are grateful to Ulrich Derenthal and Brendan Hassett for several useful conversations relating to universal torsors for singular del Pezzo surfaces. Special thanks are due to Roger Heath–Brown whose ideas led us to the proof of Lemma 6. The paper was finalised while the first author was at the École Normale Supérieure, and the second author was at Oxford University supported by EPSRC grant number GR/R93155/01. The hospitality and financial support of these institutions is gratefully acknowledged. Finally, the authors would like to thank the anonymous referee for his careful reading of the manuscript and numerous useful suggestions.
AU - de la Bretèche, Régis
AU - Timothy Browning
ID - 222
IS - 3
JF - Mathematical Proceedings of the Cambridge Philosophical Society
TI - On Manin's conjecture for singular del Pezzo surfaces of degree four, II
VL - 143
ER -
TY - JOUR
AB - Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.
AU - Timothy Browning
ID - 223
IS - 1
JF - Monatshefte fur Mathematik
TI - Density of integer solutions to diagonal quadratic forms
VL - 152
ER -
TY - JOUR
AB - In many species, females show reduced expression of a trait that is under sexual selection in males, and this expression is thought to be maintained through genetic associations with the male phenotype. However, there is also the potential for the female trait to convey an advantage in intrasexual conflicts over resources. We tested this hypothesis in a feral population of Soay sheep, in which males and females have a polymorphism for horn development, producing either full (normal horned), reduced (scurred) or no (polled, females only) horns. During the lambing period, females who possessed horns were more likely to initiate and win aggressive interactions, independent of age, weight and birthing status. The occurrence of aggression was also context dependent, decreasing over the lambing period and associated with local density. Our results demonstrate that a trait that confers benefits to males during intrasexual competition for mates may also be used by females in intrasexual competition over resources: males use weaponry to gain mates, whereas females use weaponry to gain food.
AU - Robinson, Matthew Richard
AU - Kruuk, Loeske E.B
ID - 7753
IS - 6
JF - Biology Letters
SN - 1744-9561
TI - Function of weaponry in females: The use of horns in intrasexual competition for resources in female Soay sheep
VL - 3
ER -
TY - GEN
AB - These lecture notes describe the current state of affairs for Manin's conjecture in the context of del Pezzo surfaces.
AU - Browning, Timothy D
ID - 6321
T2 - arXiv
TI - The Manin conjecture in dimension 2
ER -
TY - CHAP
AB - This paper surveys recent progress towards the Manin conjecture for (singular and non-singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound of the expected order of magnitude is established for a singular del Pezzo surface of degree four.
AU - Browning, Timothy D
ID - 6323
T2 - A Tribute to Gauss and Dirichlet
TI - An overview of Manin's conjecture for del Pezzo surfaces
VL - 7
ER -
TY - JOUR
AB - A 671 nm diode laser with a mode-hop-free tuning range of 40 GHz is described. This long tuning range is achieved by simultaneously ramping the external cavity length with the laser injection current. The laser output pointing remains fixed, independent of its frequency because of the cover slip cavity design. This system is simple, economical, robust, and easy to use for spectroscopy, as we demonstrate with lithium vapor and lithium atom beam experiments.
AU - Carr, Adra
AU - Serchest, Yancey
AU - Waitukaitis, Scott R
AU - Perreault, John
AU - Lonij, Vincent
AU - Cronin, Alexander
ID - 128
IS - 10
JF - Review of Scientific Instruments
TI - Cover slip external cavity diode laser
VL - 78
ER -
TY - CHAP
AB - This book contains research articles on Diophantine Geometry, written by participants of a research program held at the Ennio De Giorgi Mathematical Research Center in Pisa, Italy, during the period April – July 2005. The authors are eminent experts in the field. Several subfields of the main topic are presented; the volume thus is particularly useful to get a broad overview of recent research developments.
AU - Browning, Timothy D
AU - Heath Brown, Roger
ED - Zannier, Umberto
ID - 167
T2 - Diophantine Geometry
TI - Simultaneous equal sums of three powers
VL - 4
ER -