An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds

For a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m ≥ 4, we provide an algorithm for estimating the values of the topological invariant Dm r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing Dm r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013), 63–84]. An open-source implementation of the algorithm programmed in C++ is publicly available at http://www.pawelpilarczyk.com/combtop/.

К вопросу моделирования эффекта падения плотности вблизи критической точки на обтекаемой поверхности

გამოყენებულია კუმშვადი გარემოს მაქსიმალურად სიმეტრიული დინების მოდელი, რომელიც ითვალისწინებს დამუხრუჭების ეფექტს ბრტყელი ზედაპირის კრიტიკული წერტილის მახლობლად. ნაჩვენებია, რომ გარემოში ხდება დაბალი სიმკვრივის ფენის ფორმირება, რომელიც შემოსაზღვრულია ნულოვანი სიმკვრივის მქონე ზედაპირით. ამ უკანასკნელს შეხება გარსდენად ზედაპირთან გააჩნია მხოლოდ კრიტიკულ წერტილში.

Jaume Brossa (1868-1919) regeneracionista i revolucionari

Treball de recerca realitzat per una alumna d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit científic del Jovent l'any 2009. El present treball és un estudi de la personalitat humana, literària i filosòfica de Jaume Brossa així com un anàlisi del medi sociohistòric que li va tocar viure. El mètode utilitzat ha estat, en primer lloc, un rastreig de material original, articles publicats entre els anys 1892 i 1902 en diversos òrgans de premsa de Barcelona i Madrid. Una vegada obtingut el material requerit, s’ha sondejat per dins de les seves línies fins a trobar quin era el seu pensament en molts aspectes, a saber: el seu posicionament entorn els grans centres d’atenció del seu temps: el nacionalisme, el moviment obrer, l’estètica modernista en les seves parcel•les de música, literatura, teatre etc., tots aquests camps, tractats des de la base de la seva actitud regeneracionista i revolucionària. L’estudi s’ha realitzat des d’un enfocament crític: intentar esbrinar quines han estat les causes per les quals un autor certament notable de les nostres lletres ha estat marginat o, si més no, minimitzat en el seu abast intel•lectual. I, tal com es planteja al començament del treball, aquest consta d’una recerca de causes, implicacions, contextos etc. que ens permetin esbrinar per què Jaume Brossa ha estat desacreditat.

Approximation algorithms for two-state anti-ferromagnetic spin systems on bounded degree graphs

In a seminal paper [10], Weitz gave a deterministic fully polynomial approximation scheme for counting exponentially weighted independent sets (which is the same as approximating the partition function of the hard-core model from statistical physics) in graphs of degree at most d, up to the critical activity for the uniqueness of the Gibbs measure on the innite d-regular tree. ore recently Sly [8] (see also [1]) showed that this is optimal in the sense that if here is an FPRAS for the hard-core partition function on graphs of maximum egree d for activities larger than the critical activity on the innite d-regular ree then NP = RP. In this paper we extend Weitz's approach to derive a deterministic fully polynomial approximation scheme for the partition function of general two-state anti-ferromagnetic spin systems on graphs of maximum degree d, up to the corresponding critical point on the d-regular tree. The main ingredient of our result is a proof that for two-state anti-ferromagnetic spin systems on the d-regular tree, weak spatial mixing implies strong spatial mixing. his in turn uses a message-decay argument which extends a similar approach proposed recently for the hard-core model by Restrepo et al [7] to the case of general two-state anti-ferromagnetic spin systems.

Quality uncertainty and allocation of decision rights in the European protected designation of origin

The paper considers some issue in the governance of the European Protected Designation of Origin (PDO). The PDO systems are the outcomes of both farmers and consumers expectations and connect the valorisation of the agricultural and rural resources of given territories to the quality of typical products. A critical point in the governance of the PDO systems is represented by the connection between the quality strategies and the uncertainty. The paper argues that the PDO systems can be thought of as strictly coordinated subsystems in which the ex post governance play a critical role in coping with quality uncertainty. The study suggests that the society's inducements given raise to complex organizational systems in which the allocation of decision rights to PDO collective organizations play a major role. The empirical analysis is carried out by examining ten Italian PDO systems in order to identify the decision rights allocated.

The curvature of the conical intersection seam: an approximate second-order analysis

We present a method for analyzing the curvature (second derivatives) of the conical intersection hyperline at an optimized critical point. Our method uses the projected Hessians of the degenerate states after elimination of the two branching space coordinates, and is equivalent to a frequency calculation on a single Born-Oppenheimer potential-energy surface. Based on the projected Hessians, we develop an equation for the energy as a function of a set of curvilinear coordinates where the degeneracy is preserved to second order (i.e., the conical intersection hyperline). The curvature of the potential-energy surface in these coordinates is the curvature of the conical intersection hyperline itself, and thus determines whether one has a minimum or saddle point on the hyperline. The equation used to classify optimized conical intersection points depends in a simple way on the first- and second-order degeneracy splittings calculated at these points. As an example, for fulvene, we show that the two optimized conical intersection points of C2v symmetry are saddle points on the intersection hyperline. Accordingly, there are further intersection points of lower energy, and one of C2 symmetry - presented here for the first time - is found to be the global minimum in the intersection space

Quantification of 4 antidepressants and a metabolite by LC-MS for therapeutic drug monitoring.

A liquid chromatography method coupled to mass spectrometry was developed for the quantification of bupropion, its metabolite hydroxy-bupropion, moclobemide, reboxetine and trazodone in human plasma. The validation of the analytical procedure was assessed according to Société Française des Sciences et Techniques Pharmaceutiques and the latest Food and Drug Administration guidelines. The sample preparation was performed with 0.5mL of plasma extracted on a cation-exchange solid phase 96-well plate. The separation was achieved in 14min on a C18 XBridge column (2.1mm×100mm, 3.5μm) using a 50mM ammonium acetate pH 9/acetonitrile mobile phase in gradient mode. The compounds of interest were analysed in the single ion monitoring mode on a single quadrupole mass spectrometer working in positive electrospray ionisation mode. Two ions were selected per molecule to increase the number of identification points and to avoid as much as possible any false positives. Since selectivity is always a critical point for routine therapeutic drug monitoring, more than sixty common comedications for the psychiatric population were tested. For each analyte, the analytical procedure was validated to cover the common range of concentrations measured in plasma samples: 1-400ng/mL for reboxetine and bupropion, 2-2000ng/mL for hydroxy-bupropion, moclobemide, and trazodone. For all investigated compounds, reliable performance in terms of accuracy, precision, trueness, recovery, selectivity and stability was obtained. One year after its implementation in a routine process, this method demonstrated a high robustness with accurate values over the wide concentration range commonly observed among a psychiatric population.

Identification of optimal structural connectivity using functional connectivity and neural modeling.

The complex network dynamics that arise from the interaction of the brain's structural and functional architectures give rise to mental function. Theoretical models demonstrate that the structure-function relation is maximal when the global network dynamics operate at a critical point of state transition. In the present work, we used a dynamic mean-field neural model to fit empirical structural connectivity (SC) and functional connectivity (FC) data acquired in humans and macaques and developed a new iterative-fitting algorithm to optimize the SC matrix based on the FC matrix. A dramatic improvement of the fitting of the matrices was obtained with the addition of a small number of anatomical links, particularly cross-hemispheric connections, and reweighting of existing connections. We suggest that the notion of a critical working point, where the structure-function interplay is maximal, may provide a new way to link behavior and cognition, and a new perspective to understand recovery of function in clinical conditions.

Virtualització de servidors. Avantatges. Implantació en una PIME real

 En la societat d’avui dia, les empreses depenen en gran part dels seus recursos informàtics. La seva capacitat de supervivència i innovació en el mercat actual, on la competitivitat és cada dia més forta, passa per una infraestructura informàtica que els permeti, no només desplegar i implantar ordinadors i servidors de manera ràpida i eficient sinó que també les protegeixi contra parades del sistema informàtic, problemes amb servidors, caigudes o desastres físics de hardware.Per evitar aquests problemes informàtics susceptibles de poder parar el funcionament d’una empresa es va començar a treballar en el camp de la virtualització informàtica amb l’objectiu de poder trobar solucions a aquests problemes a la vegada que s’aprofitaven els recursos de hardware existents d’una manera més òptim a i eficient, reduint així també el cost de la infraestructura informàtica.L’objectiu principal d’aquest treball és veure en primer pla la conversió d’una empresa real amb una infraestructura informàtica del tipus un servidor físic -una funció cap a una infraestructura virtual del tipus un servidor físic -varis servidors virtual -vàries funcions. Analitzarem l’estat actual de l’empresa, servidors i funcions, adquirirem el hardware necessari i farem la conversió de tots els seus servidors cap a una nova infraestructura virtual.Faig especial atenció a les explicacions de perquè utilitzo una opció i no un altre i també procuro sempre donar vàries opcions. Igualment remarco en quadres verds observacions a tenir en compte complementàries al que estic explicant en aquell moment, i en quadres vermells temes en els que s’ha de posar especial atenció en el moment en que es fan. Finalment, un cop feta la conversió, veurem els molts avantatges que ens ha reportat aquesta tecnologia a nivell de fiabilitat, estabilitat, capacitat de tolerància a errades, capacitat de ràpid desplegament de noves màquines, capacitat de recuperació del sistema i aprofitament de recursos físics.

Modeling premartensitic effects in Ni2MnGa: A mean-field and Monte Carlo simulation study

ic first-order transition line ending in a critical point. This critical point is responsible for the existence of large premartensitic fluctuations which manifest as broad peaks in the specific heat, not always associated with a true phase transition. The main conclusion is that premartensitic effects result from the interplay between the softness of the anomalous phonon driving the modulation and the magnetoelastic coupling. In particular, the premartensitic transition occurs when such coupling is strong enough to freeze the involved mode phonon. The implication of the results in relation to the available experimental data is discussed.

Hysteresis and avalanches in the random anisotropy Ising model

ches. The critical point is characterized by a set of critical exponents, which are consistent with the universal values proposed from the study of other simpler models.

Spanning avalanches in the three-dimensional Gaussian random-field Ising model with metastable dynamics: Field dependence and geometrical properties

Spanning avalanches in the 3D Gaussian Random Field Ising Model (3D-GRFIM) with metastable dynamics at T=0 have been studied. Statistical analysis of the field values for which avalanches occur has enabled a Finite-Size Scaling (FSS) study of the avalanche density to be performed. Furthermore, a direct measurement of the geometrical properties of the avalanches has confirmed an earlier hypothesis that several types of spanning avalanches with two different fractal dimensions coexist at the critical point. We finally compare the phase diagram of the 3D-GRFIM with metastable dynamics with the same model in equilibrium at T=0.

Communication in networks with hierarchical branching

We present a simple model of communication in networks with hierarchical branching. We analyze the behavior of the model from the viewpoint of critical systems under different situations. For certain values of the parameters, a continuous phase transition between a sparse and a congested regime is observed and accurately described by an order parameter and the power spectra. At the critical point the behavior of the model is totally independent of the number of hierarchical levels. Also scaling properties are observed when the size of the system varies. The presence of noise in the communication is shown to break the transition. The analytical results are a useful guide to forecasting the main features of real networks.

Light scattering from suspensions under external gradients

We analyze the light-scattering spectrum of a suspension in a viscoelastic fluid under density and velocity gradients. When a density gradient is present, the dynamic structure factor exhibits universality in the sense that its expression depends only on the reduced frequency and the reduced density gradient. For a velocity gradient, however, the universality breaks down. In this last case we have found a transition point from one to three characteristic frequencies in the spectrum, which is governed by the value of the external gradient. The presence of the viscoelastic time scales introduces a shift in the ``critical¿¿ point.

Metastable liquid-liquid phase transition in a single-component system with only one crystal phase and no density anomaly

We investigate the phase behavior of a single-component system in three dimensions with spherically-symmetric, pairwise-additive, soft-core interactions with an attractive well at a long distance, a repulsive soft-core shoulder at an intermediate distance, and a hard-core repulsion at a short distance, similar to potentials used to describe liquid systems such as colloids, protein solutions, or liquid metals. We showed [Nature (London) 409, 692 (2001)] that, even with no evidence of the density anomaly, the phase diagram has two first-order fluid-fluid phase transitions, one ending in a gas¿low-density-liquid (LDL) critical point, and the other in a gas¿high-density-liquid (HDL) critical point, with a LDL-HDL phase transition at low temperatures. Here we use integral equation calculations to explore the three-parameter space of the soft-core potential and perform molecular dynamics simulations in the interesting region of parameters. For the equilibrium phase diagram, we analyze the structure of the crystal phase and find that, within the considered range of densities, the structure is independent of the density. Then, we analyze in detail the fluid metastable phases and, by explicit thermodynamic calculation in the supercooled phase, we show the absence of the density anomaly. We suggest that this absence is related to the presence of only one stable crystal structure.