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In this paper, we consider Beta(2 − α, α) (with 1 < α < 2) and related Λ-coalescents. If T (n) denotes the length of an external branch of the n-coalescent, we prove the convergence of n α−1 T (n) when n tends to ∞, and give the limit. To this aim, we give asymptotics for the number σ (n) of collisions which occur in the n-coalescent until the end of the(More)
We consider a Λ-coalescent and we study the asymptotic behavior of the total length L (n) ext of the external branches of the associated n-coalescent. For Kingman coalescent, i.e. Λ = δ0, the result is well known and is useful, together with the total length L (n) , for Fu and Li's test of neutrality of mutations. For a large family of measures Λ, including(More)
The ratio of longitudinal to transverse electron scattering oo the proton is a fundamental quantity that should bemeasured with the bestpossible accuracy. Measurements have been made to extract the ratio R = L == T from deep inelastic cross sections measured at momentum transfers as high as Q 2 = 50 (GeV/c) 2. The small values of R measured in deep(More)
Separated longitudinal and transverse cross sections for charged pion electroproduction from 1 H, 2 H, and 3 He were measured at Q 2 ෇ 0.4 ͑GeV͞c͒ 2 for two values of the invariant mass, W ෇ 1.15 GeV and W ෇ 1.60 GeV, in a search for a mass dependence which would signal the effect of nuclear pions. This is the first such study that includes recoil momenta(More)
GARBOW EDUCATION/TRAINING (Begin with baccalaureate or other initial professional education, such as nursing, include postdoctoral training and residency training if applicable.) INSTITUTION AND LOCATION DEGREE (if applicable) Radiology's Biomedical Magnetic Resonance Laboratory (BMRL). With more than 30 years of experience in magnetic resonance imaging and(More)
In three-level pulse width modulation (PWM) rectifier, the performances of the conventional predictive direct power control (PDPC) method are seriously degraded by the one-control-period delay and the discrete error of control variables. This paper investigates the problem by evaluating the influences of the control delay and the discrete control error on(More)
We give necessary and sufficient conditions in order that a finite sequence (X 1 ,. .. , X n) of exchangeable random elements in a fairly general space S be extendible to a longer finite or to an infinite exchangeable sequence. This is done by formulating the ex-tendibility problem as the extension problem for certain bounded linear functionals on suitable(More)