Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields

In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, which are non-degenerate with respect to their Newton polytopes at infinity. As an application we obtain asymptotic expansions for p-adic oscillatory integrals attached to Laurent polynomials. We show the existence of two different asymptotic expansions for p-adic oscillatory integrals, one when the absolute value of the parameter approaches infinity, the other when the absolute value of the parameter approaches zero. These two asymptotic expansions are controlled by the poles of twisted local zeta functions of Igusa type.Comment: The condition on the critical set on the mapping f considered in Section 2.5 of our article is not sufficient to assure the vanishing of the twisted local zeta functions (for almost all the characters) as we assert in Theorem 3.9. A new condition on the mapping f is provide

Poles of Archimedean zeta functions for analytic mappings

In this paper, we give a description of the possible poles of the local zeta function attached to a complex or real analytic mapping in terms of a log-principalization of an ideal associated to the mapping. When the mapping is a non-degenerate one, we give an explicit list for the possible poles of the corresponding local zeta function in terms of the normal vectors to the supporting hyperplanes of a Newton polyhedron attached to the mapping, and some additional vectors (or rays) that appear in the construction of a simplicial conical subdivision of the first orthant. These results extend the corresponding results of Varchenko to the case l\geq1, and K=R or C. In the case l=1 and K=R, Denef and Sargos proved that the candidates poles induced by the extra rays required in the construction of a simplicial conical subdivision can be discarded from the list of candidate poles. We extend the Denef-Sargos result arbitrary l\geq1. This yields in general a much shorter list of candidate poles, that can moreover be read off immediately from the Newton polyhedron

Methods to Monitor and Quantify Autophagy in the Social Amoeba Dictyostelium discoideum

Autophagy is a eukaryotic catabolic pathway that degrades and recycles cellular components to maintain homeostasis. It can target protein aggregates, superfluous biomolecular complexes, dysfunctional and damaged organelles, as well as pathogenic intracellular microbes. Autophagy is a dynamic process in which the different stages from initiation to final degradation of cargo are finely regulated. Therefore, the study of this process requires the use of a palette of techniques, which are continuously evolving and whose interpretation is not trivial. Here, we present the social amoeba Dictyostelium discoideum as a relevant model to study autophagy. Several methods have been developed based on the tracking and observation of autophagosomes by microscopy, analysis of changes in expression of autophagy genes and proteins, and examination of the autophagic flux with various techniques. In this review, we discuss the pros and cons of the currently available techniques to assess autophagy in this organism

Guidance on Dravet Syndrome from Infant to Adult Care: Road Map for Treatment Planning in Europe

Dravet syndrome (DS) is a severe, rare and complex developmental and epileptic encephalopathy affecting 1 in 16'000 live births and characterized by a drug resistant epilepsy, cognitive, psychomotor and language impairment, as well as behavioral disorders. Evidence suggests that optimal treatment of seizures in DS may improve outcomes, even though neurodevelopmental impairments are the likely result of both the underlying genetic variant and the epilepsy. We present an updated guideline for DS diagnosis and treatment, taking into consideration care of the adult patient and non-pharmaceutical therapeutic options for this disease. This up-to-date guideline, which is based on an extensive review of the literature and culminates with a new treatment algorithm for DS, is a European consensus developed through a survey involving 29 European clinical experts in DS. Theis guideline will serve professionals in their clinical practice and, as a consequence, will benefit DS patients and their families

Contextualising Chinese migration to Africa

Who are ‘the Chinese’ in Africa? Why are they there? As China’s engagement with African countries intensifies, and the size of the Chinese population in Africa increases, these questions have elicited substantial attention. Many attempts to provide answers, especially in the media and popular publications, are problematically based on uninformed stereotypes and undifferentiated notions of ‘the Chinese’, by implication a homogeneous group lacking contextualisation. Seeking to address such characterisations, this paper uses the digital communications of present and prospective Chinese migrants to provide a more nuanced picture of the motivations, preoccupations and migration experiences of private entrepreneurs and state-owned enterprise workers

Review of recent issues on humor field

The paper presents a brief review of some original issues in English, gained by the main argument-the theme of humor from the standpoint of different scientific approaches, and from the perspective of various aspects of the consideration of humor. Humor occupies a significant place in the spiritual life of social communities and all spheres of society are permeated by this phenomenon. The papers of both established scholars and novice ones from different countries are summarized. An attempt is made to differentiate the works according to the research areas and to present them in the light of general research lines and further perspectives in the study of humor