Showing papers by "Nicolas Berger published in 2001"
TL;DR: Bounds for the diameter and expansion of the graphs created by long-range percolation on the cycle ℤ/Nℤ are given in this article, where the authors show that the diameter of a graph can be bounded by the number of vertices in the graph.
Abstract: Bounds for the diameter and expansion of the graphs created by long-range percolation on the cycle ℤ/Nℤ are given. © 2001 John Wiley & Sons, Inc. Random Struct. Alg., 19: 102–111, 2001
105 citations
TL;DR: In this article, the authors study the behavior of the random walk on the infinite cluster of independent long range percolation in dimensions $d=1,2, where $x$ and $y$ a re connected with probability $\sim\beta/\|x-y\|^{-s}".
Abstract: We study the behavior of the random walk on the infinite cluster of independent long range percolation in dimensions $d=1,2$, where $x$ and $y$ a re connected with probability $\sim\beta/\|x-y\|^{-s}$. We show that when $d
89 citations
23 Jul 2001
TL;DR: In this article, the authors used the BABAR data recorded in 1999 and 2000 of 20.8 fb$^{-1}$ on-resonance and 2.6 fb€-1€ off-reonance to obtain precise measurements of meson meson production from $B$ mesons and $q\overline q$ continuum events near the 4S resonance.
Abstract: New precise measurements of $D_s^+$ and $D_s^{*+}$ meson production from $B$ mesons and $q\overline q$ continuum events near the $\Upsilon(4S)$ resonance are presented in this paper. Using the BABAR data recorded in 1999 and 2000 of 20.8 fb$^{-1}$ on-resonance and 2.6 fb$^{-1}$ off-resonance, we measure the inclusive branching fractions ${\cal B}(B\to D_s^+ X) = (10.93\pm 0.19\pm 0.58\pm 2.73)%$ and ${\cal B}(B\to D_s^{*+} X) = (7.94\pm 0.82\pm 0.72\pm 1.99)%$, where the first error is statistical, the second is the systematic error, and the third is the error due to the $D_s^+\to\phi\pi^+$ branching fraction uncertainty. The branching fractions $\Sigma {\cal B}(B\to D_s^{(*)+} \overline D^{(*)}) = (5.07\pm 0.09\pm 0.34\pm 1.27)%$ and $\Sigma {\cal B}(B\to D_s^{*+} \overline D^{(*)}) = (4.07\pm 0.42\pm 0.53\pm 1.02)%$ have been determined from the measured $D_s^{(*)+}$ momentum spectra.
7 citations
TL;DR: In this article, the authors measured the branching fractions of the psi(2S) meson to the leptonic final states e+e- and mu+mu- relative to that for J/psi pi+pi-.
Abstract: We measure the branching fractions of the psi(2S) meson to the leptonic final states e+e- and mu+mu- relative to that for psi(2S)-->J/psi pi+pi-. The method uses psi(2S) mesons produced in the decay of B mesons at the Upsilon(4S) resonance in a data sample collected with the BABAR detector at the Stanford Linear Accelerator Center. Using previous measurements for the psi(2S)-->J/psi pi+pi- branching fraction, we determine the e+e- and mu+mu- branching fractions to be 0.0078+/-0.0009+/-0.0008 and 0.0067+/-0.0008+/-0.0007 respectively.
4 citations