Limit cycles for cubic systems with a symmetry of order 4 and without in nite critical points

"Vegeu el resum a l'inici del document del fitxer adjunt."

Petits points et conjecture de Bogomolov

This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang’s proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned.

Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3

"Vegeu el resum a l'inici del document del fitxer adjunt."

CM points and weight 3=2 modular forms

"Vegeu el resum a l'inici del document del fitxer adjunt."

A nonlinear threshold model for the dependence of extremes of stationary sequences

One of the main implications of the efficient market hypothesis (EMH) is that expected future returns on financial assets are not predictable if investors are risk neutral. In this paper we argue that financial time series offer more information than that this hypothesis seems to supply. In particular we postulate that runs of very large returns can be predictable for small time periods. In order to prove this we propose a TAR(3,1)-GARCH(1,1) model that is able to describe two different types of extreme events: a first type generated by large uncertainty regimes where runs of extremes are not predictable and a second type where extremes come from isolated dread/joy events. This model is new in the literature in nonlinear processes. Its novelty resides on two features of the model that make it different from previous TAR methodologies. The regimes are motivated by the occurrence of extreme values and the threshold variable is defined by the shock affecting the process in the preceding period. In this way this model is able to uncover dependence and clustering of extremes in high as well as in low volatility periods. This model is tested with data from General Motors stocks prices corresponding to two crises that had a substantial impact in financial markets worldwide; the Black Monday of October 1987 and September 11th, 2001. By analyzing the periods around these crises we find evidence of statistical significance of our model and thereby of predictability of extremes for September 11th but not for Black Monday. These findings support the hypotheses of a big negative event producing runs of negative returns in the first case, and of the burst of a worldwide stock market bubble in the second example. JEL classification: C12; C15; C22; C51 Keywords and Phrases: asymmetries, crises, extreme values, hypothesis testing, leverage effect, nonlinearities, threshold models

Teaching clinical anatomy of the female pelvic floor to undergraduate students: A critical review of nevralgic points

Pelvic floor anatomy is complex and its three-dimensional organization is often difficult to understand for both undergrad- uate and postgraduate students. Here, we focused on several critical points that need to be considered when teaching the perineum. We have to deal with a mixed population of students and with a variety of interest. Yet, a perfect knowledge of the pelvic floor is the basis for any gynecologist and for any surgical intervention. Our objectives are several-fold; i) to estab- lish the objectives and the best way of teaching, ii) to identify and localize areas in the female pelvic floor that are suscepti- ble to generate problems in understanding the three-dimensional organization, iii) to create novel approaches by respecting the anatomical surroundings, and iv) prospectively, to identify elements that may create problems during surgery i.e. to have a closer look at nerve trajectories and on compression sites that may cause neuralgia or postoperative pain. A feedback from students concludes that they have difficulties to assimilate this much information, especially the different imaging tech- niques. Eventually, this will lead to a severe selection of what has to be taught and included in lectures or practicals. Another consequence is that more time to study prosected pelves needs to be given.

The Cultural Olympiad of Barcelona in 1992: Good points and bad points. Lessons for the Future

This text was presented at the Symposium “Olympic Arts and Culture Festivals: Recent Experiences and Future Design”, held in Chicago on the 23-24 June 2008. It provides with an analysis of good and bad points of the Cultural Olympiad of Barcelona’92 in order to discover, from that past experience, any lessons for future Cultural Olympiads and Olympic Movement cultural policy in general, as well as to rethink, in a critical way, Catalan cultural policies.

Ear acupuncture and fMRI: a pilot study for assessing the specificity of auricular points.

In recent years research explored different acupuncture stimulation techniques but interest has focused primarily on somatic acupuncture and on a limited number of acupoints. As regards ear Acupuncture (EA) there is still some criticism about the clinical specificity of auricular points/areas representing organs or structures of the body. The aim of this study was to verify through (Functional magnetic resonance imaging) fMRI the hypothesis of EA point specificity using two auricular points having different topographical locations and clinical significance. Six healthy volunteers underwent two experimental fMRI sessions: the first was dedicated to the stimulation of Thumb Auricular Acupoint (TAA) and the second to the stimulation of Brain Stem Auricular Acupoint (BSAA). The stimulation of the needle placed in the TAA of the left ear produced an increase in activation bilaterally in the parietal operculum, region of the secondary somatosensory area SII. Stimulation of the needle placed in the BSAA of the left ear showed a pattern that largely overlapped regions belonging to the pain matrix, as shown to be involved in previous somatic acupuncture studies but with local differences in the left amygdala, anterior cingulate cortex, and cerebellum. The differences in activation patterns between TAA and BSAA stimulation support the specificity of the two acupoints. Moreover, the peculiarity of the regions involved in BSAA stimulation compared to those involved in the pain matrix, is in accordance with the therapeutic indications of this acupoint that include head pain, dizziness and vertigo. Our results provide preliminary evidence on the specificity of two auricular acupoints; further research is warranted by means of fMRI both in healthy volunteers and in patients carrying neurological/psychiatric syndromes.

Is the consumption-income ratio stationary? Evidence from linear and nonlinear panel unit root tests for OECD and non-OECD countries

This paper applies recently developed heterogeneous nonlinear and linear panel unit root tests that account for cross-sectional dependence to 24 OECD and 33 non-OECD countries’ consumption-income ratios over the period 1951–2003. We apply a recently developed methodology that facilitates the use of panel tests to identify which individual cross-sectional units are stationary and which are nonstationary. This extends evidence provided in the recent literature to consider both linear and nonlinear adjustment in panel unit root tests, to address the issue of cross-sectional dependence, and to substantially expand both time-series and cross sectional dimensions of the data analysed. We find that the majority (65%) of the series are nonstationary with slightly fewer OECD countries’ (61%) series exhibiting a unit root than non-OECD countries (68%).

Domestic Violence and Football in Glasgow: Are Reference Points Relevant?

Much research suggests that sporting events can trigger domestic violence with recent evidence suggesting that pre-match expectations (which can be interpreted as reference points) play an especially important role in this relationship. In particular, unexpectedly disappointing results have been associated with large increases in domestic violence. This paper contributes to this literature using a new data set containing every domestic violence incident in Glasgow over a period of more than eight years. We find that Old Firm matches, where Glasgow rivals Celtic and Rangers play, are associated with large increases in domestic violence (regardless of the timing or the outcome of the match). Non-Old Firm matches tend to have little impact on domestic violence. Furthermore, we fi nd little evidence for the importance of reference points. Matches with disappointing outcomes, relative to pre-match expectations, are found to be associated with unusual increases in domestic violence only in a very limited set of matches.

Domestic Violence and Football in Glasgow: Are Reference Points Relevant?

Much research suggests that sporting events can trigger domestic violence with recent evidence suggesting that pre-match expectations (which can be interpreted as reference points) play an especially important role in this relationship. In particular, unexpectedly disappointing results have been associated with large increases in domestic violence. This paper contributes to this literature using a new data set containing every domestic violence incident in Glasgow over a period of more than eight years. We find that Old Firm matches, where Glasgow rivals Celtic and Rangers play, are associated with large increases in domestic violence (regardless of the timing or the outcome of the match). Non-Old Firm matches tend to have little impact on domestic violence. Furthermore, we find little evidence for the importance of reference points. Matches with disappointing outcomes, relative to pre-match expectations, are found to be associated with unusual increases in domestic violence only in a very limited set of matches.

Stable stationary states of non-local interaction equations

"Vegeu el resum a l'inici del document del fitxer adjunt."

Development of Eosinophilia in dogs intradermically inoculated with sand fly saliva and Leishmania (Leishmania) chagasi stationary-phase promastigotes

Salivary glad lysates of the sand fly Lutzomia longipalpis have been shown to enhance the infectivity of Leishmania in mice. As shown herein, the simultaneous inoculation of Leishmania chagasi stationary-phase promastigotes and L. longipalpis salivary gland by the intradermal route in a group of mongrel dogs induced a statistically significant eosinophilia, in relation to dogs inoculated with Leishmania or with salivary gland lysate only. These dogs had no evidence of infection, in spite of the infectivity of the promastigotes when inoculated by the intravenous route.