Stochastic perturbations of convex billiards

We consider a strictly convex billiard table with C 2 boundary, with the dynamics subjected to random perturbations. Each time the billiard ball hits the boundary its reflection angle has a random perturbation. The perturbation distribution corresponds to the physical situation where either the scale of the surface irregularities is smaller than but comparable to the diameter of the reflected object, or the billiard ball is not perfectly rigid. We prove that for a large class of such perturbations the resulting Markov chain is uniformly ergodic, although this is not true in general.Fil: Markarian, R.. Universidad de la Republica. Facultad de Ingeniería; UruguayFil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; ArgentinaFil: Sidoravicius, V.. Jardim Botânico; BrasilFil: Tal, F. A.. Universidade de Sao Paulo; BrasilFil: Vares, M. E.. Universidade Federal do Rio de Janeiro; Brasi

Mandibular osteolytic lesion associated with exuberant hyaline ring granuloma reaction

To report an unusual case of oral hyaline ring granuloma (HRG) that caused an extensive osteolytic lesion. A 22-year-old female was referred to our hospital with a large expansile cystic lesion in the left mandibular ramus associated with a clinically visible, partially erupted third molar. A diagnosis of paradental cyst was made. After marsupialization of the lesion, histopathological analysis of the surgical specimen showed an unusual exuberant HRG reaction supported by scarce fibrous stroma. This was a case of exuberant HRG reaction that caused extensive bone destruction25439139

Analisi territoriale delle percezioni dei possibili impatti dell'estrazione di idrocarburi sui prodotti con Indicazione Geografica

La Commissione Europea da sempre riconosce il grande valore dei prodotti alimentari tipici e tradizionali, importanti per la definizio- ne del patrimonio culturale e dell\u2019identit\ue0 di un territorio. Il sistema europeo delle Indicazioni Geografiche (IG) conferisce inoltre a questi prodotti il valore di propriet\ue0 intellettuali. Nonostante l\u2019Italia sia il Paese europeo pi\uf9 ricco di prodotti IG, nelle aree di produzione sono presenti attivit\ue0 antropiche potenzialmente impattanti per l\u2019am- biente, la sicurezza alimentare e la salute. In questa ricerca vengono presentati i risultati di un\u2019indagine, condotta in Basilicata e Veneto, sull\u2019eventuale cambio delle scelte di acquisto di prodotti IG in aree in cui vi sono attivit\ue0 di estrazione o lavorazione di idrocarburi. Le analisi GIS realizzate hanno permesso, inoltre, di mettere in relazione alcune aree di produzione di prodotti IG con la dimensione spaziale delle percezioni sul rischio per la sicurezza alimentare rilevate duran- te l\u2019indagine. I risultati della ricerca evidenziano la necessit\ue0 di poli- tiche e normative, a livello nazionale ed europeo, che definiscano per le attivit\ue0 pi\uf9 impattanti adeguate distanze di sicurezza dalle aree di produzione, tenendo conto anche delle percezioni dei consumatori

Crossing Eurasia: trans-regional Afghan trading networks in China and beyond

An expanding body of literature in the field of Central Asian studies has brought attention to the problems of considering the region's complex dynamics through the lens of its nation-states. Comparatively less attention has been paid to the role played by trans-regional circulations in connecting parts of Central Asia to the wider world. This paper situates ethnographic work on trans-regional networks of Afghan traders in China, Central Asia, Russia, Ukraine and the UK in relation to the literature on trans-regional connections and circulation societies. Ethnographically it demonstrates the multi-polar nature of these trans-regional networks, and the importance of trading nodes, especially the Chinese city of Yiwu, to their formation and ongoing vitality

The Role of Testosterone in the Elderly: What Do We Know?

Testosterone is the most important hormone in male health. Aging is characterized by testosterone deficiency due to decreasing testosterone levels associated with low testicular production, genetic factors, adiposity, and illness. Low testosterone levels in men are associated with sexual dysfunction (low sexual desire, erectile dysfunction), reduced skeletal muscle mass and strength, decreased bone mineral density, increased cardiovascular risk and alterations of the glycometabolic profile. Testosterone replacement therapy (TRT) shows several therapeutic effects while maintaining a good safety profile in hypogonadal men. TRT restores normal levels of serum testosterone in men, increasing libido and energy level and producing beneficial effects on bone density, strength and muscle as well as yielding cardioprotective effects. Nevertheless, TRT could be contraindicated in men with untreated prostate cancer, although poor findings are reported in the literature. In addition, different potential side effects, such as polycythemia, cardiac events and obstructive sleep apnea, should be monitored. The aim of our review is to provide an updated background regarding the pros and cons of TRT, evaluating its role and its clinical applicability in different domains

Sulla proposta di istituzione dell’Assegno Unico e Universale per i Figli (AUUF)

L'approvazione, imminente, della Legge delega per il varo dell'Assegno unico e universale per i figli (AUUF) rappresenta un importante momento della riforma degli istituti di trasferimento monetario del welfare del nostro paese. Il Gruppo Arel/Feg/Alleanza per l'infanzia intende fornire un proprio contributo nella fase di elaborazione dei Decreti attuativi, proponendosi di ragionare su tale riforma nel presupposto che il testo della Legge delega approvata alla Camera venga approvato in via definitiva al Senato (A.S. n. 1892) senza modificazioni e che i contributi che si vorranno fornire siano rispettosi dei principi contenuti nella Legge delega, pur tenendo conto dei margini di discrezionalità che essa lascia aperti nella produzione dei decreti legislativi

Structural and temporal patterns of the first global trading market

Little is known about the structural patterns and dynamics of the first global trading market (FGTM), which emerged during the sixteenth century as a result of the Iberian expansion, let alone how it compares to today's global financial markets. Here we build a representative network of the FGTM using information contained in 8725 (handwritten) Bills of Exchange from that time-which were (human) interpreted and digitalized into an online database. We show that the resulting temporal network exhibits a hierarchical, highly clustered and disassortative structure, with a power-law dependence on the connectivity that remains remarkably robust throughout the entire period investigated. Temporal analysis shows that, despite major turnovers in the number and nature of the links-suggesting fast adaptation in response to the geopolitical and financial turmoil experienced at the time-the overall characteristics of the FGTM remain robust and virtually unchanged. The methodology developed here demonstrates the possibility of building and analysing complex trading and finance networks originating from pre-statistical eras, enabling us to highlight the striking similarities between the structural patterns of financial networks separated by centuries in time.This research was supported by FCT-Portugal through grant nos FCT-TECH/0002/2007 (A.S.R. and A.P.), SFRH/BD/77389/2011 (F.L.P.), SFRH/BPD/76278/2011 (A.S.R.), PTDC/MAT-STA/3358/2014 (F.L.P., F.C.S. and J.M.P.), PTDC/EEI-SII/5081/2014 (F.L.P., F.C.S. and J.M.P.), UID/BIA/04050/2013 (J.M.P.) and UID/CEC/50021/2013 (F.C.S.), and by the European Science Foundation through grant no. DynCoopNet-06-TECT-FP-004 (A.S.R. and A.P.)