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Logarithmic Components of the Vacant Set for Random Walk on a Discrete Torus
(2008)Electronic Journal of ProbabilityThis work continues the investigation, initiated in a recent work by Benjamini and Sznitman, of percolative properties of the set of points not visited by a random walk on the discrete torus (Z/NZ)d up to time uNd in high dimension d. If u>0 is chosen sufficiently small it has been shown that with overwhelming probability this vacant set contains a unique giant component containing segments of length c0logN for some constant c0>0, and ...Journal Article -
Regulation of Schwann cell proliferation and apoptosis in PMP22-deficient mice and mouse models of Charcot–Marie–Tooth disease type 1A
(2001)Brain: A Journal of NeurologyCharcot–Marie–Tooth disease type 1A (CMT1A) is caused by an increased dosage of the peripheral myelin protein 22 (PMP22) gene or by point mutations affecting the same gene. Based on in vitro data, PMP22 might be involved, besides in its proven role in the regulation of myelination and myelin maintenance, in the control of Schwann cell proliferation and programmed cell death. In this report, we have used mice lacking PMP22 and mouse models ...Journal Article -
Correlations between total cell concentration, total adenosine tri-phosphate concentration and heterotrophic plate counts during microbial monitoring of drinking water
(2008)Drinking Water Engineering and ScienceThe general microbial quality of drinking water is normally monitored by heterotrophic plate counts (HPC). This method has been used for more than 100 years and is recommended in drinking water guidelines. However, the HPC method is handicapped because it is time-consuming and restricted to culturable bacteria. Recently, rapid and accurate detection methods have emerged, such as adenosine tri-phosphate (ATP) measurements to assess microbial ...Journal Article -
Search for colour reconnection effects in e+e- -> W+W- -> hadrons through particle-flow studies at LEP
(2003)Physics Letters BA search for colour reconnection effects in hadronic decays of W pairs is performed with the L3 detector at centre-of-mass energies between 189 and 209 GeV. The analysis is based on the study of the particle flow between jets associated to the sameW boson and between two different W bosons in qqqq events. The ratio of particle yields in the different interjet regions is found to be sensitive to colour reconnection effects implemented in ...Journal Article -
Squaraine Planar-Heterojunction Solar Cells
(2009)International Journal of PhotoenergyThe photovoltaic performance of squaraine-based organic solar cells is investigated. Two squaraine derivatives with extraordinarily high extinction coefficients are used as electron donors in bilayer heterojunctions with fullerene as electron acceptor. Due to the very strong squaraine absorption band in the red spectral domain, antibatic behavior due to light filtering is observed in the photocurrent spectrum for film thicknesses of 35 nm ...Journal Article -
A general real-time formulation for multi-rate mass transfer problems
(2009)Hydrology and Earth System SciencesMany flow and transport phenomena, ranging from delayed storage in pumping tests to tailing in river or aquifer tracer breakthrough curves or slow kinetics in reactive transport, display non-equilibrium (NE) behavior. These phenomena are usually modeled by non-local in time formulations, such as multi-porosity, multiple processes non equilibrium, continuous time random walk, memory functions, integro-differential equations, fractional ...Journal Article -
Interlacement percolation on transient weighted graphs
(2009)Electronic Journal of ProbabilityIn this article, we first extend the construction of random interlacements, introduced by A.S. Sznitman in [14], to the more general setting of transient weighted graphs. We prove the Harris-FKG inequality for this model and analyze some of its properties on specific classes of graphs. For the case of non-amenable graphs, we prove that the critical value u∗ for the percolation of the vacant set is finite. We also prove that, once G satisfies ...Journal Article -
On the domination of random walk on a discrete cylinder by random interlacements
(2009)Electronic Journal of ProbabilityWe consider simple random walk on a discrete cylinder with base a large d-dimensional torus of side-length N, when d is two or more. We develop a stochastic domination control on the local picture left by the random walk in boxes of side-length almost of order N, at certain random times comparable to the square of the number of sites in the base. We show a domination control in terms of the trace left in similar boxes by random interlacements ...Journal Article -
Dynamic monetary risk measures for bounded discrete-time processes
(2006)Electronic Journal of ProbabilityWe study dynamic monetary risk measures that depend on bounded discrete-time processes describing the evolution of financial values. The time horizon can be finite or infinite. We call a dynamic risk measure time-consistent if it assigns to a process of financial values the same risk irrespective of whether it is calculated directly or in two steps backwards in time. We show that this condition translates into a decomposition property for ...Journal Article -