Factorization of elliptic boundary value problems by invariant embedding and application to overdetermined problems

Dissertação para obtenção do Grau de Doutor em Matemática

Frequency-domain receiver design for doubly-selective channels

This work is devoted to the broadband wireless transmission techniques, which are serious candidates to be implemented in future broadband wireless and cellular systems, aiming at providing high and reliable data transmission and concomitantly high mobility. In order to cope with doubly-selective channels, receiver structures based on OFDM and SC-FDE block transmission techniques, are proposed, which allow cost-effective implementations, using FFT-based signal processing. The first subject to be addressed is the impact of the number of multipath components, and the diversity order, on the asymptotic performance of OFDM and SC-FDE, in uncoded and for different channel coding schemes. The obtained results show that the number of relevant separable multipath components is a key element that influences the performance of OFDM and SC-FDE schemes. Then, the improved estimation and detection performance of OFDM-based broadcasting systems, is introduced employing SFN (Single Frequency Network) operation. An initial coarse channel is obtained with resort to low-power training sequences estimation, and an iterative receiver with joint detection and channel estimation is presented. The achieved results have shown very good performance, close to that with perfect channel estimation. The next topic is related to SFN systems, devoting special attention to time-distortion effects inherent to these networks. Typically, the SFN broadcast wireless systems employ OFDM schemes to cope with severely time-dispersive channels. However, frequency errors, due to CFO, compromises the orthogonality between subcarriers. As an alternative approach, the possibility of using SC-FDE schemes (characterized by reduced envelope fluctuations and higher robustness to carrier frequency errors) is evaluated, and a technique, employing joint CFO estimation and compensation over the severe time-distortion effects, is proposed. Finally, broadband mobile wireless systems, in which the relative motion between the transmitter and receiver induces Doppler shift which is different or each propagation path, is considered, depending on the angle of incidence of that path in relation to the direction of travel. This represents a severe impairment in wireless digital communications systems, since that multipath propagation combined with the Doppler effects, lead to drastic and unpredictable fluctuations of the envelope of the received signal, severely affecting the detection performance. The channel variations due this effect are very difficult to estimate and compensate. In this work we propose a set of SC-FDE iterative receivers implementing efficient estimation and tracking techniques. The performance results show that the proposed receivers have very good performance, even in the presence of significant Doppler spread between the different groups of multipath components.

Cactaceae of the boundary / by George Engelmann.

v.2 pt.1:Cactaceae

An illustrated flora of the northern United States, Canada and the British possessions : from Newfoundland to the parallel of the southern boundary of Virginia, and from the Atlantic Ocean westward to the 102d meridian / by Nathaniel Lord Britton and Hon. Addison Brown.

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An illustrated flora of the northern United States, Canada and the British possessions : from Newfoundland to the parallel of the southern boundary of Virginia, and from the Atlantic Ocean westward to the 102d meridian / by Nathaniel Lord Britton and Hon. Addison Brown.

2

An illustrated flora of the northern United States, Canada and the British possessions : from Newfoundland to the parallel of the southern boundary of Virginia, and from the Atlantic Ocean westward to the 102d meridian / by Nathaniel Lord Britton and Hon. Addison Brown.

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Analysis of a boundary protein delimiting chromatin domains in yeast

SUMMARY The expression state of a eukaryotic gene depends in part on its location in the chromosome. This position effect results from the organization of eukaryotic genomes into discrete functional domains, defined by local differences in chromatin structure. The expression of genes within each domain appears to be defined and maintained by the concerted action of regulatory elements such as promoters, enhancers, silencers and locus control regions. Individual domains may be bordered by boundary elements that separate regions of permissive and silent chromatin. When located next to chromosomal elements such as telomeres, genes can be subjected to epigenetic silencing. In yeast, this is mediated by the propagation of the SIR proteins from telomeres towards more centromeric regions. Particular transcription factors can protect downstream genes from silencing when tethered between the gene and the telomere, and they may thus act as chromatin domain boundaries. Here we have studied one of these transcription factors, CTF-1, that binds directly histone H3. A deletion mutagenesis localized the barrier activity to CTF-1 histone-binding domain. A saturating point mutagenesis of this domain identified several amino-acid substitutions that similarly inhibited the boundary and histone-binding activities. Chromatin immunoprecipitation experiments indicated that the barrier protein efficiently prevents the spreading of SIR proteins, and that it separates domains of hypoacetylated and hyperacetylated histones. Together, these results suggest a mechanism by which proteins such as CTF-1 may interact directly with histone H3 to prevent the propagation of a silent chromatin structure, thereby defining boundaries of permissive and silent chromatin domains. RESUME L'expression des gènes eucaryotes dépend en partie de leur localisation sur les chromosomes. Cet effet de position résulte de l'organisation des génomes eucaryotes en domaines fonctionnels, définis par des changements locaux au niveau de la structure de la chromatine. Dans chacun de ces domaines, l'expression des gènes est définie et maintenue par l'action concertée de différents éléments régulateurs tels que les promoteurs, les amplificateurs, les silenceurs et les locus control régions. Ces domaines peuvent être entourés par des éléments barrière, séparant les régions de chromatine répressive des régions permissive pour l'expression des gènes. Lorsqu'ils se situent à proximité d'éléments chromosomiques comme les telomères, les gènes peuvent être réprimés de manière épigénétique. Chez la levure, cette répression est établie par la propagation des protéines SIR depuis les télomères vers les régions centromériques. Certains facteurs de transcription peuvent empêcher la répression d'un gène, lorsqu'ils sont placés entre ce gène et le télomère. Nous avons étudié un de ces facteurs, CTF-1, qui a la particularité de lier directement l'histone H3. La délétion de certaines parties de CTF-1 a permis de déterminer que la région responsable de l'activité barrière correspond au domaine d'interaction avec H3. Plusieurs mutations points effectuées dans ce domaine inhibent à la fois l'activité barrière et la capacité de lier H3. Des expériences d'immuno-précipitation de la chromatine indiquent que la protéine barrière CTF-1 prévient efficacement la propagation des protéines SIR et sépare des domaines contenant des histones hypo-acétylées de ceux constitués d'histones hyper-acétylées. Ces résultats suggèrent que CTF-1 interagit directement avec l'histone H3 pour empêcher la propagation de la chromatine répressive, délimitant ainsi des domaines de chromatine permissive et des domaines de chromatine silencieuse.

Chromatin domain boundaries delimited by a histone-binding protein in yeast.

When located next to chromosomal elements such as telomeres, genes can be subjected to epigenetic silencing. In yeast, this is mediated by the propagation of the SIR proteins from telomeres toward more centromeric regions. Particular transcription factors can protect downstream genes from silencing when tethered between the gene and the telomere, and they may thus act as chromatin domain boundaries. Here we have studied one such transcription factor, CTF-1, that binds directly histone H3. A deletion mutagenesis localized the barrier activity to the CTF-1 histone-binding domain. A saturating point mutagenesis of this domain identified several amino acid substitutions that similarly inhibited the boundary and histone binding activities. Chromatin immunoprecipitation experiments indicated that the barrier protein efficiently prevents the spreading of SIR proteins, and that it separates domains of hypoacetylated and hyperacetylated histones. Together, these results suggest a mechanism by which proteins such as CTF-1 may interact directly with histone H3 to prevent the propagation of a silent chromatin structure, thereby defining boundaries of permissive and silent chromatin domains.

A pseudo-spectral method for the simulation of poro-elastic seismic wave propagation in 2D polar coordinates using domain decomposition

We present a novel numerical approach for the comprehensive, flexible, and accurate simulation of poro-elastic wave propagation in 2D polar coordinates. An important application of this method and its extensions will be the modeling of complex seismic wave phenomena in fluid-filled boreholes, which represents a major, and as of yet largely unresolved, computational problem in exploration geophysics. In view of this, we consider a numerical mesh, which can be arbitrarily heterogeneous, consisting of two or more concentric rings representing the fluid in the center and the surrounding porous medium. The spatial discretization is based on a Chebyshev expansion in the radial direction and a Fourier expansion in the azimuthal direction and a Runge-Kutta integration scheme for the time evolution. A domain decomposition method is used to match the fluid-solid boundary conditions based on the method of characteristics. This multi-domain approach allows for significant reductions of the number of grid points in the azimuthal direction for the inner grid domain and thus for corresponding increases of the time step and enhancements of computational efficiency. The viability and accuracy of the proposed method has been rigorously tested and verified through comparisons with analytical solutions as well as with the results obtained with a corresponding, previously published, and independently bench-marked solution for 2D Cartesian coordinates. Finally, the proposed numerical solution also satisfies the reciprocity theorem, which indicates that the inherent singularity associated with the origin of the polar coordinate system is adequately handled.

Paleoenvironmental evolution of the Helvetic shallow-water carbonate platform near the Barremian-Aptian boundary, and its relationship with paleoceanographic and paleoclimatic change in the Tethys

Abstract:During my doctoral research, I focused on deciphering the interactions between sea-level and climate change during the Late Barremian-Early Aptian, their expression in the Tethys basin and in the Helvetic carbonate platform. The research highlights are summarized here in three points: In the Helvetic Alps, the transition between the Lower Schrattenkalk (Upper Barremian) and the Rawil Member (Lowermost Aptian) is characterized by a change from a predominantly photozoan to a heterozoan carbonate-producing system, which coincides in time with a general increase in detrital and nutrient input. The clay mineral record shows the appearance of kaolinite within the Rawil Member, whereas this mineral is absent from the uppermost Lower and lowermost Upper Schrattenkalk Members. This indicates the installation of a warmer and more humid climate during this time period. A negative peak in 513C is recorded at the top of the Lower Schrattenkalk Member, and correlates with the well-known negative excursion of -l%o occurring in other basins and dated as latest Barremian, thus confirming a latest Barremian and earliest Aptian age for the Lower Schrattenkalk and Rawil Members, respectively. Furthermore, a sequence stratigraphie framework has been defined for the Rawil Member, based on both the ecology of faunal and floral assemblages, and their palaeoenvironmental interpretation, as well as on the stacking pattern of limestone beds observed during field prospection. The presence of a sequence boundary is postulated near the top of the Lower Schrattenkalk Member, which is correlated with the earliest Aptian SbAl defined in Vercors (France). The SbAl is characterized by a maximum of proximal assemblages and by the disappearance of several benthic foraminiferal species. Within the Rawil Member itself, the stacking pattern and microfacies trends are interpreted to represent the TST of the first Aptian sequence. With regards to the pelagic setting in the Tethyan realm, I investigated the Gorgo a Cerbara section (central Italy). There, thin organic-rich layers occur episodically in pelagic carbonates of the upper Barremian portion of the Maiolica Formation. They are associated with high Corg:Ptot ratios, which indicate the presence of intermittent dysoxic to anoxic conditions. Coarse correlations are also observed between TOC, Ρ and biogenic silica contents, indicating links between Ρ availability, productivity, and organic matter preservation. The corresponding 813Ccarb and δ180 records remain, however, quite stable, indicating that these brief periods of enhanced TOC preservation did not have sufficient impact on the marine carbon household to deviate 6,3C records, and are probably not the consequence of major climate change. On the other hand, organic-rich layers become more frequent around the Barremian-Aptian boundary in both pelagic and hemi-pelagic environments (Gorgo a Cerbara and La Bédoule, France), which are correlated with negative excursions in 6l3Ccarb and 613Corg records. During the earliest Aptian, at Gorgo a Cerbara, the frequency of organic-rich intervals progressively increases and redox-sensitive trace-element enrichments become more frequent, until the highest TOC-enriched level just below the "Livello Selli", indicator of Oceanic Anoxic Event la (OAEla). The latter is associated with the well-known negative spike in 613Ccarb and S,3Corg records, a diminution in the δ,80 record interpreted as the consequence of a wanning interval, an important peak in Ρ accumulation and high Cor::Ptot ratios indicating the prevalence of anoxic conditions. The Selli Level (OAEla) documents a general cooling phase and coincides with maximum RSTE enrichments as well as high Corg:Ptot ratios, which confirm the importance of anoxic conditions during OAE1 a at this site.During the Early Aptian, environmental change on the platform is expressed by orbitolinids proliferation that may be induced by both climate change and sea-level rise. In the basin, the successive black shales horizons from the Late Barremian until the OAE la are interpreted as the progressive impact of palaeoenvironmental change probably linked to the formation of the Ontong- Java plate-basalt plateau.RésuméCe travail de thèse a permis d'investiguer les interactions entre les variations du niveau marin et les changements climatiques sur la plate-forme helvétique ainsi qu'en domaine pélagique à la limite Barrémien-Aptien (Crétacé).Dans les Alpes helvétiques, la limite Barrémien-Aptien est marquée par la transition du Schrattenkalk inférieur, caractérisé par des carbonates photozaires, au Membre de Rawil caractérisé par des carbonates héterozoaires. Cette transition est marquée par une arrivée massive d'éléments détritiques et un apport de nutriments ayant entraîné la prolifération de foraminifères agglutinés tels que les orbitolines. L'analyse des minéraux argileux indique l'apparition de la kaolinite durant le Membre de Rawil, interprétée comme l'installation d'un climat plus chaud et humide. Un pic négatif en 513C est enregistré au sommet du Schrattenkalk inférieur correspond à l'excursion négative de -1%0 bien connue en domaine pélagique et datée comme Barrémien terminal. Cette corrélation apporte un contrôle chronostratigraphique supplémentaire permettant de dater le Schrattenkalk inférieur du Barrémien sup. et le Membre de Rawil de l'Aptien inf. D'autre part, une étude stratigraphique, basée sur des observations de terrain et sur l'interprétation d'assemblages floristiques et faunistiques en terme de paléoenvironnement a permis de mettre en évidence une limite de séquence au sommet du Schrattenkalk inf., corrélable avec la SbAl définie dans le Vercors. Durant la mise en place du Membre de Rawil, l'évolution des microfaciès est interprétée comme le « Transgressive System Tract » de la première séquence aptienne.En domaine pélagique, de minces couches riches en matière organique (MO) apparaissent dès le Barrémien sup. dans la coupe de Gorgo a Cerbara (Italie). Elles sont associées à un ratio C:P élevé indiquant des conditions épisodiquement dysoxiques à anoxiques. De plus, une corrélation nette entre Carbone Organique Total (TOC), phosphore (P) et silice biogénique est observée correspondant à un lien entre Ρ disponible, productivité et préservation de la MO. Pourtant, dans le même temps, le ÔI3C et le δ1βΟ restent constants indiquant des conditions environnementales stables et un cycle du carbone non perturbé par la préservation de MO qui ne serait pas la conséquence d'un changement climatique global mais juste d'un effet local.Ala limite Barrémien-Aptien, en domaine hémi-pélagique (La Bédoule, France) et pélagique (Gorgo a Cerbara), les couches riches en MO sont plus fréquentes et plus épaisses, elles se sont déposées en même temps qu'un pic négatif en 513CCARB et ô13Coib probablement dû à un épisode volcanique. A l'Aptien inf. le TOC des niveaux riches en MO augmente progressivement en même temps que la teneur en éléments traces jusqu'au dernier enrichissement avant l'événement anoxique océanique la (OAE la) correspondant au « niveau critique inf. », indiquant des conditions anoxiques moins restreintes. Celui-ci est également caractérisé par le fameux pic négatif en Ô13C (C3), une diminution du δ180 interprétée comme un réchauffement, par un pic en Ρ et un ratio C:P élevé. L'OAE 1 a, quant à lui, enregistre un refroidissement et coïncide avec le maximum en éléments traces ainsi qu'un fort ratio C:P mettant en valeur l'importance des conditions anoxiques pendant 1ΌΑΕ la dans cette coupe alors qu'aucune perturbation n'est enregistrés à La Bédoule probablement à cause de conditions paléogéographiques locales.Durant l'Aptien inf., les changements environnementaux sur la plate-forme se marquent par la prolifération d'orbitolines due à un changement climatique et une hausse du niveau marin. En domaine profond, la succession de niveaux riches en MO du Barrémien sup. jusqu'à l'OAE la documente l'impact progressif de changements paléoenvironnementaux, probablement liés à la formation du plateau d'Ontong Java à l'ouest de l'océan Pacifique.

Fluctuations in domain growth: Ginzburg-Landau equations with multiplicative noise

Ginzburg-Landau equations with multiplicative noise are considered, to study the effects of fluctuations in domain growth. The equations are derived from a coarse-grained methodology and expressions for the resulting concentration-dependent diffusion coefficients are proposed. The multiplicative noise gives contributions to the Cahn-Hilliard linear-stability analysis. In particular, it introduces a delay in the domain-growth dynamics.

Numerical modeling of the effect of variation of boundary conditions on vadose zone hydraulic properties

An accurate estimation of hydraulic fluxes in the vadose zone is essential for the prediction of water, nutrient and contaminant transport in natural systems. The objective of this study was to simulate the effect of variation of boundary conditions on the estimation of hydraulic properties (i.e. water content, effective unsaturated hydraulic conductivity and hydraulic flux) in a one-dimensional unsaturated flow model domain. Unsaturated one-dimensional vertical water flow was simulated in a pure phase clay loam profile and in clay loam interlayered with silt loam distributed according to the third iteration of the Cantor Bar fractal object Simulations were performed using the numerical model Hydrus 1D. The upper and lower pressure heads were varied around average values of -55 cm for the near-saturation range. This resulted in combinations for the upper and lower constant head boundary conditions, respectively, of -50 and -60 cm, -40 and -70 cm, -30 and -80 cm, -20 and -90 cm, and -10 and -100 cm. For the drier range the average head between the upper and lower boundary conditions was set to -550 cm, resulting in the combinations -500 and -600 cm, -400 and -700 cm, -300 and -800 cm, -200 and -900 cm, and -100 and -1,000 cm, for upper and lower boundary conditions, respectively. There was an increase in water contents, fluxes and hydraulic conductivities with the increase in head difference between boundary conditions. Variation in boundary conditions in the pure phase and interlayered one-dimensional profiles caused significant deviations in fluxes, water contents and hydraulic conductivities compared to the simplest case (a head difference between the upper and lower constant head boundaries of 10 cm in the wetter range and 100 cm in the drier range).

Langevin equations with multiplicative noise: Application to domain growth

Langevin Equations of Ginzburg-Landau form, with multiplicative noise, are proposed to study the effects of fluctuations in domain growth. These equations are derived from a coarse-grained methodology. The Cahn-Hiliard-Cook linear stability analysis predicts some effects in the transitory regime. We also derive numerical algorithms for the computer simulation of these equations. The numerical results corroborate the analytical predictions of the linear analysis. We also present simulation results for spinodal decomposition at large times.

Active regions for colour texture segmentation integrating region and boundary information

In this paper a colour texture segmentation method, which unifies region and boundary information, is proposed. The algorithm uses a coarse detection of the perceptual (colour and texture) edges of the image to adequately place and initialise a set of active regions. Colour texture of regions is modelled by the conjunction of non-parametric techniques of kernel density estimation (which allow to estimate the colour behaviour) and classical co-occurrence matrix based texture features. Therefore, region information is defined and accurate boundary information can be extracted to guide the segmentation process. Regions concurrently compete for the image pixels in order to segment the whole image taking both information sources into account. Furthermore, experimental results are shown which prove the performance of the proposed method

Genesis and Emplacement of Carbonatites and Lamprophyres in the Svecofennian Domain

A small carbonatite dyke swarm has been identified at Naantali, southwest Finland. Several swarms of shoshonitic lamprophyres are also known along the Archean-Proterozoic boundary in eastern Finland and northwest Russia. These intrusions, along with the carbonatite intrusion at Halpanen, eastern Finland, represent a stage of widespread low-volume mantle-sourced alkaline magmatism in the Svecofennian Domain. Using trace element and isotope geochemistry coupled with precise geochronology from these rocks, a model is presented for the Proterozoic metasomatic evolution of the Fennoscandian subcontinental lithospheric mantle. At ~2.2-2.06 Ga, increased biological production in shallow seas linked to continental rifting, resulted in increased burial rates of organic carbon. Subduction between ~1.93-1.88 Ga returned organic carbon-enriched sediments of mixed Archean and Proterozoic provenance to the mantle. Dehydration reactions supplied water to the mantle wedge, driving arc volcanism, while mica, amphibole and carbonate were brought deeper into the mantle with the subducting slab. The cold subducted slab was heated conductively from the surrounding warm mantle, while pressures continued to gradually increase as a result of crustal thickening. The sediments began to melt in a two stage process, first producing a hydrous alkaline silicate melt, which infiltrated the mantle wedge and crystallised as metasomatic veins. At higher temperatures, carbonatite melt was produced, which preferentially infiltrated the pre-existing metasomatic vein network. At the onset of post-collisional extension, deep fault structures formed, providing conduits for mantle melts to reach the upper crust. Low-volume partial melting of the enriched mantle at depths of at least 110 km led to the formation of first carbonatitic magma and subsequently lamprophyric magma. Carbonatite was emplaced in the upper crust at Naantali at 1795.7 ± 6.8 Ma; lamprophyres along the Archean-Proterozoic boundary were emplaced between 1790.1 ± 3.3 Ma and 1781 ± 20 Ma.