Some explicit formulas for the Brownian bridge, Brownian meander and Bessel process under uniform sampling

We show that simple explicit formulas can be obtained for several relevant quantities related to the laws of the uniformly sampled Brownian bridge, Brownian meander and three dimensional Bessel process. To prove such results, we use the distribution of a triplet of random variables associated to the pseudo-Brownian bridge together with various relationships between the laws of these four processes

On the law of a triplet associated with the pseudo-Brownian bridge

We identify the distribution of a natural triplet associated with the pseudo-Brownian bridge. In particular, for $B$ a Brownian motion and $T_1$ its first hitting time of the level one, this remarkable law allows us to understand some properties of the process $(B_{uT_1}/\sqrt{T_1}, u\leq 1)$ under uniform random sampling

Living in the garden of Eden: Mineral resources foster individualism

Using mineral resources discoveries in the United States since 1800, we argue that mineral mining fosters individualism. Measuring individualism and the demand for redistribution by questions of the General Social Survey (GSS), we show that: (i) individuals living in states with mineral resources are more individualistic and support less redistribution by the government ; (ii) the higher the number of mines in a states, the lower the support for governmental redistribution and the higher the individualism ; (iii) individuals that experienced mineral discoveries during their early adulthood are more individualistic and support less redistribution ; (iv) this effect vanishes over time. These results are robust to the introduction of various explanatory variables that may explain the formation of individualistic values.natural resources ; individualism ; redistribution

Adaptive Replication in Distributed Content Delivery Networks

We address the problem of content replication in large distributed content delivery networks, composed of a data center assisted by many small servers with limited capabilities and located at the edge of the network. The objective is to optimize the placement of contents on the servers to offload as much as possible the data center. We model the system constituted by the small servers as a loss network, each loss corresponding to a request to the data center. Based on large system / storage behavior, we obtain an asymptotic formula for the optimal replication of contents and propose adaptive schemes related to those encountered in cache networks but reacting here to loss events, and faster algorithms generating virtual events at higher rate while keeping the same target replication. We show through simulations that our adaptive schemes outperform significantly standard replication strategies both in terms of loss rates and adaptation speed.Comment: 10 pages, 5 figure

Quantification de l'arginine-vasopressine dans le plasma par spectrométrie de masse en tandem

Développer et optimiser une méthode de dosage de la vasopressine dans le plasma humain depuis le prélèvement sanguin jusqu’à l’analyse en LC-MS/MS en passant par une extraction en phase solide