Integrals on pp-adic upper half planes and Hida families over totally real fields

Bertolini-Darmon and Mok proved a formula of the second derivative of the two-variable $p$-adic $L$-function of a modular elliptic curve over a totally real field along the Hida family in terms of the image of a global point by some $p$-adic logarithm map. The theory of $p$-adic indefinite integrals and $p$-adic multiplicative integrals on $p$-adic upper half planes plays an important role in their work. In this paper, we generalize these integrals for $p$-adic measures which are not necessarily $\mathbf{Z}$-valued, and prove a formula of the second derivative of the two-variable $p$-adic $L$-function of an abelian variety of ${\rm GL}(2)$-type associated to a Hilbert modular form of weight 2.Comment: to appear in Osaka Journal of Mathematic

Bounded weighted composition operators on functional quasi-Banach spaces and stability of dynamical systems

In this paper, we investigate the boundedness of weighted composition operators defined on a quasi-Banach space continuously included in the space of smooth functions on a manifold. We show that the boundedness of a weighted composition operator strongly limits the dynamics of the original map, and it provides us an effective method to investigate properties of weighted composition operators via the theory of dynamical system. As a result, we prove that only an affine map can induce a bounded composition operator on an arbitrary quasi-Banach space continuously included in the space of entire functions of one-variable. We also obtain the same result for bounded weighted composition operators on infinite dimensional quasi-Banach space under certain condition for weights. We also prove that any polynomial automorphism except an affine transform cannot induce a bounded weighted composition operator with non-vanishing weight on a quasi-Banach space composed of entire functions in the two-dimensional complex affine space under certain conditions.Comment: We generalize the previous version to the weighted cas

Analysis of Arc Phenomena in Boundary Layer Of MHD Generator Channel

By means of a time-dependent two-dimensional numerical simulation utilizing the Finite Element Method, we study arc phenomena analytically in the boundary layer of the Faraday MHD power generator using petroleum-fired gas plasma as the working fluid, and get the following several results. On the anode side, the calculated values of the electrode voltage drop agree very well with the experimental ones, which demonstrates that the calculation simulates the experiment considerably well. On low temperature electrode, the current flow becomes the big arc with high temperature and large current density. The generation, movement, keeping and disappearance of the arc depend on a balance among the effect of convection, the Hall effect and the braking force based on the Lorentz force. The positions of the generated arc and the behavior of the arc-cycle are decided mainly by the effect of convection and by the electrode temperature. The period of the arc-cycle and the width of the arc are closely connected with the temperature of the electrode wall and the load resistance

An experimental study on the efferent connections of the amygdaloid complex in the cat

The amygdalofugal fibers were studied III the cat with the silver method of NAUTA-GYGAX. 1. The amygdalofugal fibers are distributed by way of the stria terminalis, the longitudinal association bundle, the inferior thalamic peduncle, and the medial forebrain bundle. 2. The amygdalofugal fibers running through the longitudinal association bundle arise in the lateral principal, intermediate principal nuclei and the lateral and possibly intermediate parts of the periamygdaloid cortex, and terminate in the lateral preoptic nucleus, the bed nucleus of the anterior commissure, the olfactory tubercle, the nucleus of the diagonal band of Broca, the nucleus accumbens, the medial and posterior septal nuclei and the basal part of the head of the caudate nucleus. In addition, there are scattered fibers coursing along the longitudinal association bundle proper. These fibers may have a widespread origin from the amygdaloid complex. The longitudinal association bundle contributes no fibers to the medial forebrain bundle. 3. The fibers, originating from the lateral principal, intermediate principal and medial principal nuclei, join the medial forebrain bundle to distribute widely in the lateral hypothalamic nucleus. A few fibers are seen to reach the ventromedial hypothalamic nucleus, and are considered to arise in the medial principal nucleus. 4. By way of the inferior thalamic peduncle some fibers from the amygdaloid complex course dorsally into the medial part of the dorsomedial thalamic nucleus at its caudal levels. They may arise widely from the amygdaloid complex. A few of them extend farther dorsally to reach the lateral habenular nucleus and the parataenial nucleus. They probably originate from the lateral principal nucleus. 5. The fibers forming the stria terminalis originate from the medial principal nucleus, the medial nucleus, the periamygdaloid cortex and the cortical nucleus, and are distributed in the bed nucleus of the stria terminalis and the lateral preoptic nucleus (preoptic component), as well as the medial preoptic nucleus, the anterior hypothalamic nucleus and the ventromedial hypothalamic nucleus (supracommissural component). The cortical nucleus, particularly its caudal part, and possibly the medial part of the periamygdaloid cortex are regarded as the main sources of the stria terminalis fibers ending in the hypothalamic region. The intermediate principal and lateral principal nuclei do not appear to contribute fibers to the stria terminalis. 6. The ventromedial hypothalamic nucleus receives amygdalofugal fibers both from the medial principal nucleus by way of the medial forebrain bundle, and from the cortical nucleus via the stria terminalis. 7. In addition to intrinsic internuclear fibers within the amygdaloid complex, some of the fibers from the complex are distributed to the ventralmost part of the putamen, the medial part of the claustrum, the periamygdaloid cortex, the prepiriform area and the anterior amygdaloid area, but do not reach the hippocampus.</p

Correlation Analysis of Features for Fusing in User Verification Using EEG Evoked by Ultrasound

In user verification using electroencephalograms (EEGs) evoked by ultrasound, an error rate of 0% was achieved. However, to achieve this, the classifiers for the number of features multiplied by the number of electrodes must be learned. Therefore, reducing the number of classifiers is crucial and must be achieved. This study confirmed that the random selection of features and electrodes facilitates further reduction in the number of classifiers. Random selection is equivalent to evenly selecting electrodes for each feature and electrode position. Consequently, the effectiveness of even selection was statistically confirmed. Furthermore, even selection resulted in the fusion of uncorrelated features. Thus, four statistical values of an EEG were introduced, and the effectiveness of fusing uncorrelated (independent) features was confirmed

Почечно-клеточный рак у пациентов, находящихся на диализе

Заболеваемость почечно-клеточным раком (ПКР) у пациентов, находящихся на диализе, выше, чем в общей популяции. Чем дольше больной получает гемодиализ, тем выше заболеваемость ПКР. Риск развития ПКР связан с формированием поликистоза почек. Некоторые виды ПКР у пациентов, находящихся на гемодиализе, или пациентов с заболеваниями почек поздних стадий не соответствуют гистологической классификации ПКР, представленной Всемирной Организацией Здравоохранения. Такие опухоли отличаются от спорадических; их называют ПКР, ассоциированным с приобретенным поликистозом почек (ППКП), или светлоклеточным-папиллярным ПКР у пациентов с заболеваниями почек поздних стадий. Рак почки на фоне ППКП развивается у пациентов, которые получают диализ длительно (более 10 лет). В связи с высокой заболеваемостью и отсутствием симптомов, пациентов находящихся на диализе из группы высокого риска, необходимо обследовать на предмет ПКР. Такой скрининг особенно важен для пациентов на диализе продолжительностью более 10 лет, пациентам с тяжелым ППКП и кандидатам на трансплантацию почки. Опухоль в почке, прилежащая к множественным приобретенным кистам, как правило, мало или совсем не накапливает контрастное вещество при КТ, а также не выступает за контур почки. Таким образом, дооперационная оценка ПКР у пациентов на длительном диализе затруднительна.