On small time asymptotics for rough differential equations driven by fractional Brownian motions

We survey existing results concerning the study in small times of the density of the solution of a rough differential equation driven by fractional Brownian motions. We also slightly improve existing results and discuss some possible applications to mathematical finance.Comment: This is a survey paper, submitted to proceedings in the memory of Peter Laurenc

Macronutrient composition of three cucurbit species cultivated for seed consumption in Côte d’Ivoire

Dry seeds from three indigenous cucurbits [Citrullus lanatus var. citroides (Thumb.) Matsum. & Nakai.,Cucumeropsis mannii Naudin, and Cucumis melo var. agrestis L.] largely cultivated in Côte d’Ivoire andconsumed as sauce thickeners were analyzed for their proximate composition and compared to a locallandrace of peanut (Arachis hypogae L.). The protein contents were 29.23±1.74, 36±2.17, 29.55±2.09, and24.79±0.44% for C. lanatus, C. mannii, C. melo, and A. hypogaea, respectively. The highest estimates offat content was observed with C. lanatus (56.67±4.90%) followed in decreased order by the peanut(48.17±1.60%), C. mannii (45.89±4.73%), and C. melo (42.67±3.43%). The carbohydrate content for C.lanatus was 9.87±3.52% and C. mannii and C. melo had 13.86±3.64 and 23.18±4.80%, respectively. C.melo was then the highest in carbohydrate content whereas A. hypogaea has the lowest value(6.39±2.66%). The crude fibre contents for C. lanatus, C. mannii, and C. melo averaged 2.87±1.07,2.30±0.85, and 2.94±0.75%, respectively. The three cucurbit species were markedly low in fibre value,compared to the analyzed peanut (17.14±3.82%). As expected on the basis of several published data,ash content of seeds from indigenous cucurbits was generally low: 1.33±0.52% (C. lanatus), 2.50±1.38%(C. mannii), and 1.67±0.82% (C. melo)

Análisis de linajes maternos y paternos de bovinos criollo del Centro de Ecología Aaplicada Simón I. Patiño - Bolivia

Se determinaron los linajes maternos y paternos de 33 bovinos Criollo (27 hembras y 6 machos) del Centro de Ecología Aplicada Simón I. Patiño (Ceasip) mediante marcadores genéticos del ADN genómico, mitocondrial y del cromosoma Y. El ADN genómico se extrajo utilizando el kit Wizard ® Genomic Purification. Los linajes maternos se determinaron mediante secuenciación del ADN mitocondrial (región control D-loop) y los linajes paternos se determinaron analizando siete marcadores genéticos del cromosoma Y, dos SNP (Polimorfismo de Nucleótido Simple) y cinco microsatélites (Secuencias Repetidas en Tándem). La diversidad genética se estimó tipificando 18 microsatélites. Se analizaron los datos con MStools, GenePop y Arlequin. La secuenciación de D-loop mitocondrial permitió detectar seis linajes maternos, que incluían cuatro haplotipos mitocondriales de origen europeo y dos africanos. A través del análisis de los marcadores del cromosoma Y se determinaron tres linajes paternos, dos taurinos y uno cebuino. En el hato del Ceasip, la diversidad alélica (na) fue de 6.11, mientras que la heterocigosidad esperada (He) fue de 0.70 y la observada (Ho) fue de 0.68. Los valores de diversidad genética observada en los bovinos del Ceasip son similares a los estimados para la mayoría de los biotipos del Criollo boliviano (na Yacumeño= 6.82; na Saavedreño= 5.95), siendo los valores promedios para el ganado Criollo boliviano analizados anteriormente de na= 6.39, He= 0.72 y Ho= 0.65. Los análisis de Componentes Principales y de distancia genética mostraron que sería factible intercambiar material genético entre las poblaciones Criollo bolivianas sin pérdida significativa de su diversidad genética.Fil: Pereira, J. A. C.. Universidad Autónoma Gabriel René Moreno; BoliviaFil: Giovambattista, Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria "Ing. Fernando Noel Dulout". Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias. Instituto de Genética Veterinaria; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias; ArgentinaFil: Peña, S.. Centro de Ecología Aplicada Simón I. Patiño; BoliviaFil: Liron, Juan Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Genética Veterinaria ; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias; ArgentinaFil: Loza, A. J.. Universidad Autónoma Gabriel René Moreno; BoliviaFil: Posik, Diego Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Genética Veterinaria ; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Veterinarias; ArgentinaFil: Baudoin, M.. Centro de Ecología Aplicada Simón I. Patiño; BoliviaFil: Bomblat, C.. Centro de Ecología Aplicada Simón I. Patiño; Bolivi

Explicit formulae in probability and in statistical physics

We consider two aspects of Marc Yor's work that have had an impact in statistical physics: firstly, his results on the windings of planar Brownian motion and their implications for the study of polymers; secondly, his theory of exponential functionals of Levy processes and its connections with disordered systems. Particular emphasis is placed on techniques leading to explicit calculations.Comment: 14 pages, 2 figures. To appear in Seminaire de Probabilites, Special Issue Marc Yo

Implementation of drift velocities and currents in SOLEDGE2D-EIRENE

International audienceIn order to improve cross-field transport description, drifts and currents have been implemented in SOLEDGE2D-EIRENE. The derivation of an equation for the electric potential is recalled. The resolution of current equation is tested in a simple slab case. WEST divertor simulations in forward-B and reverse-B fields are also discussed. A significant increase of ExB shear is observed in the forward-B configuration that could explain a favorable L-H transition in this case

Ferrocene derivatives of liquid chiral molecules allow assignment of absolute configuration by X-ray crystallography

The present study investigates a synthetically simple ferrocene derivatization of natural products and active pharmaceutical ingredients. Seven new crystal structures are analyzed together with 16 structures of ferrocene derivatives reported previously. In all cases, the unambiguous determination of the absolute structure was established from anomalous dispersion using the methods of Flack and Parsons. A comparison with other derivatization approaches shows the advantage of the described ferrocene derivatization for establishing the absolute configuration of novel compounds