Large deviation asymptotics for continued fraction expansions

We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and derive a joint large deviation asymptotic for the upper and lower fluctuation process. Also a large deviation asymptotic for single digits is given.Comment: 15 page

Identification of Nonlinear Systems Structured by Wiener-Hammerstein Model

Wiener-Hammerstein systems consist of a series connection including a nonlinear static element sandwiched with two linear subsystems. The problem of identifying Wiener-Hammerstein models is addressed in the presence of hard nonlinearity and two linear subsystems of structure entirely unknown (asymptotically stable). Furthermore, the static nonlinearity is not required to be invertible. Given the system nonparametric nature, the identification problem is presently dealt with by developing a two-stage frequency identification method, involving simple inputs

Limit laws for distorted return time processes for infinite measure preserving transformations

We consider conservative ergodic measure preserving transformations on infinite measure spaces and investigate the asymptotic behaviour of distorted return time processes with respect to sets satisfying a type of Darling-Kac condition. We identify two critical cases for which we prove uniform distribution laws. For this we introduce the notion of uniformly returning sets and discuss some of their properties.Comment: 18 pages, 2 figure

Thrombose du sinus lateral et de la veine jugulaire apres un traumatisme cranien ferme

Introduction Les traumatismes crâniens fermés représentent une étiologie exceptionnelle des thromboses veineuses cérébrales (TVC). Seule une trentaine de cas sont rapportés, contrastant avec la grande fréquence des traumatismes crâniens. Cette situation pose des difficultés diagnostiques pouvant expliquer le pronostic relativement mauvais des TVC post traumatiques.Objectif Rapporter un cas de thrombose veineuse après un traumatisme crânien fermé.Observation Un patient de 23 ans suivi pour une schizophrénie, a présenté suite à une tentative de suicide, un traumatisme crânien fermé sans anomalie clinique ou à la TDM cérébrale initiale. Après un intervalle de 48 heures, un syndrome d’hypertension intracrânienne est apparu de façon rapide. Une thrombose du sinus latéral droit, étendue à la veine jugulaire a été découverte fortuitement sur la TDM cérébrale et confirmée par l’angio-IRM. Le reste du bilan étiologique de cette TVC est resté négatif et les anticoagulants ont permis une amélioration rapide des symptômes.Conclusion Dans les suites d’un traumatisme crânien, l’apparition de symptômes neurologiques, en particulier d’une HTIC doit faire rechercher une TVC après avoir éliminé des causes plus classiques à ce contexte (hématomes intracrâniens).Mots clés : Thrombose veineuse cérébrale; traumatisme crânien; anticoagulants

Duchenne and Becker Muscular Dystrophy: Contribution of a Molecular and Immunohistochemical Analysis in Diagnosis in Morocco

Duchenne muscular dystrophy (DMD) and Becker muscular dystrophy (BMD) are X-linked recessive disorders caused by mutations of the DMD gene located at Xp21. In DMD patients, dystrophin is virtually absent; whereas BMD patients have 10% to 40% of the normal amount. Deletions in the dystrophin gene represent 65% of mutations in DMD/BMD patients. To explain the contribution of immunohistochemical and genetic analysis in the diagnosis of these dystrophies, we present 10 cases of DMD/BMD with particular features. We have analyzed the patients with immunohistochemical staining and PCR multiplex to screen for exons deletions. Determination of the quantity and distribution of dystrophin by immunohistochemical staining can confirm the presence of dystrophinopathy and allows differentiation between DMD and BMD, but dystrophin staining is not always conclusive in BMD. Therefore, only identification involved mutation by genetic analysis can establish a correct diagnosis

Comparative Evaluation of Hydrochars and Pyrochars for Phosphate Adsorption from Wastewater

Biochar represents the rich carbon residues that remains after thermally pyrolyzing or liquefying different biomass types in an oxygen-free environment. The availability of animal and agricultural wastes makes the biochar a low-cost product. It is, as a carbon-rich product, resistant to mineralization and decomposition. Biochar can be used as a multifunctional material in many applications in the environmental and agricultural sectors. Recently, a growing interest for the use of biochar in different fields is rising because of its use as a sorbent for organic and nonorganic contaminants from aqueous solutions. In this chapter, recent studies on pyrochar/hydrochar production, characterization, and phosphate adsorption are reviewed and summarized. The remediation technologies for phosphate removal from contaminated water using biochar are also discussed. The effects of reaction temperature and initial solution pH on phosphate adsorption onto biochar are compared. In addition, we highlighted the models that are used for adsorption kinetics and adsorption isotherms