@article{6588, abstract = {First we note that the best polynomial approximation to vertical bar x vertical bar on the set, which consists of an interval on the positive half-axis and a point on the negative half-axis, can be given by means of the classical Chebyshev polynomials. Then we explore the cases when a solution of the related problem on two intervals can be given in elementary functions.}, author = {Pausinger, Florian}, issn = {1812-9471}, journal = {Journal of Mathematical Physics, Analysis, Geometry}, number = {1}, pages = {63--78}, publisher = {B. Verkin Institute for Low Temperature Physics and Engineering}, title = {{Elementary solutions of the Bernstein problem on two intervals}}, volume = {8}, year = {2012}, } @article{1471, abstract = {Given a possibly reducible and non-reduced spectral cover π: X → C over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SL n-Higgs moduli space up to the degree which is predicted by topological mirror symmetry. In particular this yields a new proof of a result of Harder-Narasimhan, showing that this finite group acts trivially on the cohomology of the twisted SL n stable bundle moduli space.}, author = {Tamas Hausel and Pauly, Christian}, journal = {Geometry and Topology}, number = {3}, pages = {1609 -- 1638}, publisher = {University of Warwick}, title = {{Prym varieties of spectral covers}}, doi = {10.2140/gt.2012.16.1609}, volume = {16}, year = {2012}, } @article{1472, abstract = {For G = GL 2, PGL 2, SL 2 we prove that the perverse filtration associated with the Hitchin map on the rational cohomology of the moduli space of twisted G-Higgs bundles on a compact Riemann surface C agrees with the weight filtration on the rational cohomology of the twisted G character variety of C when the cohomologies are identified via non-Abelian Hodge theory. The proof is accomplished by means of a study of the topology of the Hitchin map over the locus of integral spectral curves.}, author = {De Cataldo, Mark A and Tamas Hausel and Migliorini, Luca}, journal = {Annals of Mathematics}, number = {3}, pages = {1329 -- 1407}, publisher = {Princeton University Press}, title = {{Topology of hitchin systems and Hodge theory of character varieties: The case A 1}}, doi = {10.4007/annals.2012.175.3.7}, volume = {175}, year = {2012}, } @misc{13075, abstract = {Little is known about the stability of trophic relationships in complex natural communities over evolutionary timescales. Here, we use sequence data from 18 nuclear loci to reconstruct and compare the intraspecific histories of major Pleistocene refugial populations in the Middle East, the Balkans and Iberia in a guild of four Chalcid parasitoids (Cecidostiba fungosa, C. semifascia, Hobbya stenonota and Mesopolobus amaenus) all attacking Cynipid oak galls. We develop a likelihood method to numerically estimate models of divergence between three populations from multilocus data. We investigate the power of this framework on simulated data, and - using triplet alignments of intronic loci - quantify the support for all possible divergence relationships between refugial populations in the four parasitoids. Although an East to West order of population divergence has highest support in all but one species, we cannot rule out alternative population tree topologies. Comparing the estimated times of population splits between species, we find that one species, M. amaenus, has a significantly older history than the rest of the guild and must have arrived in central Europe at least one glacial cycle prior to other guild members. This suggests that although all four species may share a common origin in the East, they expanded westwards into Europe at different times.}, author = {Lohse, Konrad and Barton, Nicholas H and Stone, Graham and Melika, George}, publisher = {Dryad}, title = {{Data from: A likelihood-based comparison of population histories in a parasitoid guild}}, doi = {10.5061/DRYAD.0G0FS}, year = {2012}, } @article{13407, abstract = {We show that diamagnetic particles can be remotely manipulated by a magnet by the reversible adsorption of dual-responsive, light-switchable/superparamagnetic nanoparticles down to their surface. Adsorption occurs upon exposure to UV light, and can be reversed thermally or by ambient light. The dynamic self-assembly of thin films of the dual-responsive nanoparticles induces attractive interactions between diamagnetic particles. We demonstrate that catalytic amounts of the dual-responsive nanoparticles are sufficient to magnetically guide and deliver the diamagnetic particles to desired locations, where they can then be released by disassembling the dynamic layers of superparamagnetic nanoparticles with visible light.}, author = {Chovnik, Olga and Balgley, Renata and Goldman, Joel R. and Klajn, Rafal}, issn = {1520-5126}, journal = {Journal of the American Chemical Society}, keywords = {Colloid and Surface Chemistry, Biochemistry, General Chemistry, Catalysis}, number = {48}, pages = {19564--19567}, publisher = {American Chemical Society}, title = {{Dynamically self-assembling carriers enable guiding of diamagnetic particles by weak magnets}}, doi = {10.1021/ja309633v}, volume = {134}, year = {2012}, } @article{13408, abstract = {Well-defined metallic nanobowls can be prepared by extending the concept of a protecting group to colloidal synthesis. Magnetic nanoparticles are employed as “protecting groups” during the galvanic replacement of silver with gold. The replacement reaction is accompanied by spontantous dissociation of the protecting groups, leaving behind metallic nanobowls.}, author = {Ridelman, Yonatan and Singh, Gurvinder and Popovitz-Biro, Ronit and Wolf, Sharon G. and Das, Sanjib and Klajn, Rafal}, issn = {1613-6829}, journal = {Small}, keywords = {Biomaterials, Biotechnology, General Materials Science, General Chemistry}, number = {5}, pages = {654--660}, publisher = {Wiley}, title = {{Metallic nanobowls by galvanic replacement reaction on heterodimeric nanoparticles}}, doi = {10.1002/smll.201101882}, volume = {8}, year = {2012}, } @inproceedings{1384, abstract = {Software model checking, as an undecidable problem, has three possible outcomes: (1) the program satisfies the specification, (2) the program does not satisfy the specification, and (3) the model checker fails. The third outcome usually manifests itself in a space-out, time-out, or one component of the verification tool giving up; in all of these failing cases, significant computation is performed by the verification tool before the failure, but no result is reported. We propose to reformulate the model-checking problem as follows, in order to have the verification tool report a summary of the performed work even in case of failure: given a program and a specification, the model checker returns a condition Ψ - usually a state predicate - such that the program satisfies the specification under the condition Ψ - that is, as long as the program does not leave the states in which Ψ is satisfied. In our experiments, we investigated as one major application of conditional model checking the sequential combination of model checkers with information passing. We give the condition that one model checker produces, as input to a second conditional model checker, such that the verification problem for the second is restricted to the part of the state space that is not covered by the condition, i.e., the second model checker works on the problems that the first model checker could not solve. Our experiments demonstrate that repeated application of conditional model checkers, passing information from one model checker to the next, can significantly improve the verification results and performance, i.e., we can now verify programs that we could not verify before.}, author = {Beyer, Dirk and Henzinger, Thomas A and Keremoglu, Mehmet and Wendler, Philipp}, booktitle = {Proceedings of the ACM SIGSOFT 20th International Symposium on the Foundations of Software Engineering}, location = {Cary, NC, USA}, publisher = {ACM}, title = {{Conditional model checking: A technique to pass information between verifiers}}, doi = {10.1145/2393596.2393664}, year = {2012}, } @article{9014, abstract = {In this Letter, we explore experimentally the phase behavior of a dense active suspension of self-propelled colloids. In addition to a solidlike and gaslike phase observed for high and low densities, a novel cluster phase is reported at intermediate densities. This takes the form of a stationary assembly of dense aggregates—resulting from a permanent dynamical merging and separation of active colloids—whose average size grows with activity as a linear function of the self-propelling velocity. While different possible scenarios can be considered to account for these observations—such as a generic velocity weakening instability recently put forward—we show that the experimental results are reproduced mathematically by a chemotactic aggregation mechanism, originally introduced to account for bacterial aggregation and accounting here for diffusiophoretic chemical interaction between colloidal swimmers.}, author = {Theurkauff, I. and Cottin-Bizonne, C. and Palacci, Jérémie A and Ybert, C. and Bocquet, L.}, issn = {10797114}, journal = {Physical Review Letters}, number = {26}, publisher = {American Physical Society }, title = {{Dynamic clustering in active colloidal suspensions with chemical signaling}}, doi = {10.1103/physrevlett.108.268303}, volume = {108}, year = {2012}, } @article{9049, abstract = {Diffusiophoretic motion of colloids and macromolecules under salt gradients exhibits a logarithmic-sensing, i.e. the particle velocity is proportional to the spatial gradient of the logarithm of the salt concentration, as VDP = DDP∇logc. Here we explore experimentally the implications of this log-sensing behavior, on the basis of a hydrogel microfluidic device allowing to build spatially and temporally controlled gradients. We first demonstrate that the non-linearity of the salt-taxis leads to a trapping of particles under concentration gradient oscillations via a rectification of the motion. As an alternative, we make use of the high sensitivity of diffusiophoretic migration to vanishing salt concentration due to the log-sensing: in a counter-intuitive way, a vanishing gradient can lead to measurable velocity provided that the solute concentration is low enough, thus keeping ∇c/c finite. We show that this leads to a strong segregation of particles in osmotic shock configuration, resulting from a step change of the salt concentration at the boundaries. These various phenomena are rationalized on the basis of a theoretical description for the time-dependent Smoluchowski equation for the colloidal density.}, author = {Palacci, Jérémie A and Cottin-Bizonne, Cécile and Ybert, Christophe and Bocquet, Lydéric}, issn = {1744-6848}, journal = {Soft Matter}, number = {4}, pages = {980--994}, publisher = {Royal Society of Chemistry}, title = {{Osmotic traps for colloids and macromolecules based on logarithmic sensing in salt taxis}}, doi = {10.1039/c1sm06395b}, volume = {8}, year = {2012}, } @article{91, abstract = {We demonstrate how to appropriately estimate the zero-frequency (static) hyperpolarizability of an organic molecule from its charge distribution, and we explore applications of these estimates for identifying and evaluating new organic nonlinear optical (NLO) materials. First, we calculate hyperpolarizabilities from Hartree-Fock-derived charge distributions and find order-of-magnitude agreement with experimental values. We show that these simple arithmetic calculations will enable systematic searches for new organic NLO molecules. Second, we derive hyperpolarizabilities from crystallographic data using a multipolar charge-density analysis and find good agreement with empirical calculations. This demonstrates an experimental determination of the full static hyperpolarizability tensor in a solid-state sample. }, author = {Higginbotham, Andrew P and Cole, Jacqueline and Blood Forsythe, Martin and Hickstein, Daniel}, journal = {Journal of Applied Physics}, number = {3}, publisher = {American Institute of Physics}, title = {{Identifying and evaluating organic nonlinear optical materials via molecular moments}}, doi = {10.1063/1.3678593}, volume = {111}, year = {2012}, } @article{9142, abstract = {In models of radiative–convective equilibrium it is known that convection can spontaneously aggregate into one single localized moist region if the domain is large enough. The large changes in the mean climate state and radiative fluxes accompanying this self-aggregation raise questions as to what simulations at lower resolutions with parameterized convection, in similar homogeneous geometries, should be expected to produce to be considered successful in mimicking a cloud-resolving model. The authors investigate this self-aggregation in a nonrotating, three-dimensional cloud-resolving model on a square domain without large-scale forcing. It is found that self-aggregation is sensitive not only to the domain size, but also to the horizontal resolution. With horizontally homogeneous initial conditions, convective aggregation only occurs on domains larger than about 200km and with resolutions coarser than about 2km in the model examined. The system exhibits hysteresis, so that with aggregated initial conditions, convection remains aggregated even at our finest resolution, 500m, as long as the domain is greater than 200–300km. The sensitivity of self-aggregation to resolution and domain size in this model is due to the sensitivity of the distribution of low clouds to these two parameters. Indeed, the mechanism responsible for the aggregation of convection is the dynamical response to the longwave radiative cooling from low clouds. Strong longwave cooling near cloud top in dry regions forces downward motion, which by continuity generates inflow near cloud top and near-surface outflow from dry regions. This circulation results in the net export of moist static energy from regions with low moist static energy, yielding a positive feedback.}, author = {Muller, Caroline J and Held, Isaac M.}, issn = {0022-4928}, journal = {Journal of the Atmospheric Sciences}, keywords = {Atmospheric Science}, number = {8}, pages = {2551--2565}, publisher = {American Meteorological Society}, title = {{Detailed investigation of the self-aggregation of convection in cloud-resolving simulations}}, doi = {10.1175/jas-d-11-0257.1}, volume = {69}, year = {2012}, } @article{922, abstract = {We study theoretically the morphologies of biological tubes affected by various pathologies. When epithelial cells grow, the negative tension produced by their division provokes a buckling instability. Several shapes are investigated: varicose, dilated, sinuous, or sausagelike. They are all found in pathologies of tracheal, renal tubes, or arteries. The final shape depends crucially on the mechanical parameters of the tissues: Young's modulus, wall-to-lumen ratio, homeostatic pressure. We argue that since tissues must be in quasistatic mechanical equilibrium, abnormal shapes convey information as to what causes the pathology. We calculate a phase diagram of tubular instabilities which could be a helpful guide for investigating the underlying genetic regulation.}, author = {Hannezo, Edouard B and Prost, Jacques and Joanny, Jean}, journal = {Physical Review Letters}, number = {1}, publisher = {American Physical Society}, title = {{Mechanical instabilities of biological tubes}}, doi = {10.1103/PhysRevLett.109.018101}, volume = {109}, year = {2012}, } @article{9451, abstract = {The Arabidopsis thaliana central cell, the companion cell of the egg, undergoes DNA demethylation before fertilization, but the targeting preferences, mechanism, and biological significance of this process remain unclear. Here, we show that active DNA demethylation mediated by the DEMETER DNA glycosylase accounts for all of the demethylation in the central cell and preferentially targets small, AT-rich, and nucleosome-depleted euchromatic transposable elements. The vegetative cell, the companion cell of sperm, also undergoes DEMETER-dependent demethylation of similar sequences, and lack of DEMETER in vegetative cells causes reduced small RNA–directed DNA methylation of transposons in sperm. Our results demonstrate that demethylation in companion cells reinforces transposon methylation in plant gametes and likely contributes to stable silencing of transposable elements across generations.}, author = {Ibarra, Christian A. and Feng, Xiaoqi and Schoft, Vera K. and Hsieh, Tzung-Fu and Uzawa, Rie and Rodrigues, Jessica A. and Zemach, Assaf and Chumak, Nina and Machlicova, Adriana and Nishimura, Toshiro and Rojas, Denisse and Fischer, Robert L. and Tamaru, Hisashi and Zilberman, Daniel}, issn = {1095-9203}, journal = {Science}, number = {6100}, pages = {1360--1364}, publisher = {American Association for the Advancement of Science}, title = {{Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes}}, doi = {10.1126/science.1224839}, volume = {337}, year = {2012}, } @article{9497, abstract = {The regulation of eukaryotic chromatin relies on interactions between many epigenetic factors, including histone modifications, DNA methylation, and the incorporation of histone variants. H2A.Z, one of the most conserved but enigmatic histone variants that is enriched at the transcriptional start sites of genes, has been implicated in a variety of chromosomal processes. Recently, we reported a genome-wide anticorrelation between H2A.Z and DNA methylation, an epigenetic hallmark of heterochromatin that has also been found in the bodies of active genes in plants and animals. Here, we investigate the basis of this anticorrelation using a novel h2a.z loss-of-function line in Arabidopsis thaliana. Through genome-wide bisulfite sequencing, we demonstrate that loss of H2A.Z in Arabidopsis has only a minor effect on the level or profile of DNA methylation in genes, and we propose that the global anticorrelation between DNA methylation and H2A.Z is primarily caused by the exclusion of H2A.Z from methylated DNA. RNA sequencing and genomic mapping of H2A.Z show that H2A.Z enrichment across gene bodies, rather than at the TSS, is correlated with lower transcription levels and higher measures of gene responsiveness. Loss of H2A.Z causes misregulation of many genes that are disproportionately associated with response to environmental and developmental stimuli. We propose that H2A.Z deposition in gene bodies promotes variability in levels and patterns of gene expression, and that a major function of genic DNA methylation is to exclude H2A.Z from constitutively expressed genes.}, author = {Coleman-Derr, Devin and Zilberman, Daniel}, issn = {1553-7404}, journal = {PLoS Genetics}, number = {10}, publisher = {Public Library of Science}, title = {{Deposition of histone variant H2A.Z within gene bodies regulates responsive genes}}, doi = {10.1371/journal.pgen.1002988}, volume = {8}, year = {2012}, } @article{9499, abstract = {EMBRYONIC FLOWER1 (EMF1) is a plant-specific gene crucial to Arabidopsis vegetative development. Loss of function mutants in the EMF1 gene mimic the phenotype caused by mutations in Polycomb Group protein (PcG) genes, which encode epigenetic repressors that regulate many aspects of eukaryotic development. In Arabidopsis, Polycomb Repressor Complex 2 (PRC2), made of PcG proteins, catalyzes trimethylation of lysine 27 on histone H3 (H3K27me3) and PRC1-like proteins catalyze H2AK119 ubiquitination. Despite functional similarity to PcG proteins, EMF1 lacks sequence homology with known PcG proteins; thus, its role in the PcG mechanism is unclear. To study the EMF1 functions and its mechanism of action, we performed genome-wide mapping of EMF1 binding and H3K27me3 modification sites in Arabidopsis seedlings. The EMF1 binding pattern is similar to that of H3K27me3 modification on the chromosomal and genic level. ChIPOTLe peak finding and clustering analyses both show that the highly trimethylated genes also have high enrichment levels of EMF1 binding, termed EMF1_K27 genes. EMF1 interacts with regulatory genes, which are silenced to allow vegetative growth, and with genes specifying cell fates during growth and differentiation. H3K27me3 marks not only these genes but also some genes that are involved in endosperm development and maternal effects. Transcriptome analysis, coupled with the H3K27me3 pattern, of EMF1_K27 genes in emf1 and PRC2 mutants showed that EMF1 represses gene activities via diverse mechanisms and plays a novel role in the PcG mechanism.}, author = {Kim, Sang Yeol and Lee, Jungeun and Eshed-Williams, Leor and Zilberman, Daniel and Sung, Z. Renee}, issn = {1553-7404}, journal = {PLoS Genetics}, number = {3}, publisher = {Public Library of Science}, title = {{EMF1 and PRC2 cooperate to repress key regulators of Arabidopsis development}}, doi = {10.1371/journal.pgen.1002512}, volume = {8}, year = {2012}, } @article{9528, abstract = {Accumulating evidence points toward diverse functions for plant chromatin. Remarkable progress has been made over the last few years in elucidating the mechanisms for a number of these functions. Activity of the histone demethylase IBM1 accurately targets DNA methylation to silent repeats and transposable elements, not to genes. A genetic screen uncovered the surprising role of H2A.Z-containing nucleosomes in sensing precise differences in ambient temperature and consequent gene regulation. Precise maintenance of chromosome number is assured by a histone modification that suppresses inappropriate DNA replication and by centromeric histone H3 regulation of chromosome segregation. Histones and noncoding RNAs regulate FLOWERING LOCUS C, the expression of which quantitatively measures the duration of cold exposure, functioning as memory of winter. These findings are a testament to the power of using plants to research chromatin organization, and demonstrate examples of how chromatin functions to achieve biological accuracy, precision, and memory.}, author = {Huff, Jason T. and Zilberman, Daniel}, issn = {0959-437X}, journal = {Current Opinion in Genetics and Development}, number = {2}, pages = {132--138}, publisher = {Elsevier}, title = {{Regulation of biological accuracy, precision, and memory by plant chromatin organization}}, doi = {10.1016/j.gde.2012.01.007}, volume = {22}, year = {2012}, } @article{9535, abstract = {The most well-studied function of DNA methylation in eukaryotic cells is the transcriptional silencing of genes and transposons. More recent results showed that many eukaryotes methylate the bodies of genes as well and that this methylation correlates with transcriptional activity rather than repression. The purpose of gene body methylation remains mysterious, but is potentially related to the histone variant H2A.Z. Studies in plants and animals have shown that the genome-wide distributions of H2A.Z and DNA methylation are strikingly anticorrelated. Furthermore, we and other investigators have shown that this relationship is likely to be the result of an ancient but unknown mechanism by which DNA methylation prevents the incorporation of H2A.Z. Recently, we discovered strong correlations between the presence of H2A.Z within gene bodies, the degree to which a gene's expression varies across tissue types or environmental conditions, and transcriptional misregulation in an h2a.z mutant. We propose that one basal function of gene body methylation is the establishment of constitutive expression patterns within housekeeping genes by excluding H2A.Z from their bodies.}, author = {Coleman-Derr, D. and Zilberman, Daniel}, issn = {1943-4456}, journal = {Cold Spring Harbor Symposia on Quantitative Biology}, pages = {147--154}, publisher = {Cold Spring Harbor Laboratory Press}, title = {{DNA methylation, H2A.Z, and the regulation of constitutive expression}}, doi = {10.1101/sqb.2012.77.014944}, volume = {77}, year = {2012}, } @article{966, abstract = {Motivated by recent experiments on Ba3NiSb2O 9, we investigate possible quantum spin liquid ground states for spin S=1 Heisenberg models on the triangular lattice. We use variational Monte Carlo techniques to calculate the energies of microscopic spin liquid wave functions where spin is represented by three flavors of fermionic spinon operators. These energies are compared with the energies of various competing three-sublattice ordered states. Our approach shows that the antiferromagnetic Heisenberg model with biquadratic term and single-ion anisotropy does not have a low-temperature spin liquid phase. However, for an SU(3)-invariant model with sufficiently strong ring-exchange terms, we find a paired chiral quantum spin liquid with a Fermi surface of deconfined spinons that is stable against all types of ordering patterns we considered. We discuss the physics of this exotic spin liquid state in relation to the recent experiment and suggest new ways to test this scenario.}, author = {Bieri, Samuel and Maksym Serbyn and Senthil, Todadri S and Lee, Patrick}, journal = {Physical Review B - Condensed Matter and Materials Physics}, number = {22}, publisher = {American Physical Society}, title = {{Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice}}, doi = {10.1103/PhysRevB.86.224409}, volume = {86}, year = {2012}, } @article{10387, abstract = {We report numerical simulations of membrane tubulation driven by large colloidal particles. Using Monte Carlo simulations we study how the process depends on particle size and binding strength, and present accurate free energy calculations to sort out how tube formation compares with the competing budding process. We find that tube formation is a result of the collective behavior of the particles adhering on the surface, and it occurs for binding strengths that are smaller than those required for budding. We also find that long linear aggregates of particles forming on the membrane surface act as nucleation seeds for tubulation by lowering the free energy barrier associated to the process.}, author = {Šarić, Anđela and Cacciuto, Angelo}, issn = {1079-7114}, journal = {Physical Review Letters}, keywords = {general physics and astronomy}, number = {18}, publisher = {American Physical Society}, title = {{Mechanism of membrane tube formation induced by adhesive nanocomponents}}, doi = {10.1103/physrevlett.109.188101}, volume = {109}, year = {2012}, } @article{10388, abstract = {Using computer simulations, we show that lipid membranes can mediate linear aggregation of spherical nanoparticles binding to it for a wide range of biologically relevant bending rigidities. This result is in net contrast with the isotropic aggregation of nanoparticles on fluid interfaces or the expected clustering of isotropic insertions in biological membranes. We present a phase diagram indicating where linear aggregation is expected and compute explicitly the free-energy barriers associated with linear and isotropic aggregation. Finally, we provide simple scaling arguments to explain this phenomenology.}, author = {Šarić, Anđela and Cacciuto, Angelo}, issn = {1079-7114}, journal = {Physical Review Letters}, keywords = {general physics and astronomy}, number = {11}, publisher = {American Physical Society}, title = {{Fluid membranes can drive linear aggregation of adsorbed spherical nanoparticles}}, doi = {10.1103/physrevlett.108.118101}, volume = {108}, year = {2012}, }