Abstract. In his 2003 paper, Varadhan proves the averaged large deviation principle (LDP) for the mean velocity of a particle performing random walk in a random environment (RWRE) on Z with d ≥ 1, and gives a variational formula for the corresponding rate function Ia. Under the non-nestling assumption (resp. Kalikow’s condition), we show that Ia is strictly convex and analytic on a non-empty op...

A common clinical practice during single-point Doppler analysis is to measure the centerline maximum velocity and to recover the time-averaged flow rate by exploiting an assumption on the shape of velocity profile (a priori formula), either a parabolic or a flat one. In a previous study, we proposed a new formula valid for the peak instant linking the maximum velocity and the flow rate by inclu...

Velocity field provides a complementary avenue to constrain cosmological information, either through the peculiar velocity surveys or kinetic Sunyaev Zel'dovich effect. One of commonly used statistics is mean radial pairwise velocity. Here, we consider three-point relative velocity, i.e. velocities between pairs in triplet. Using halo catalogs from Quijote suite N-body simulations, first showca...

The avalanche statistics in porous materials and ferroelastic domain wall systems has been studied for slowly increasing compressive uniaxial stress with stress rates between 0.2 and 17 kPa s-1. Velocity peaks [Formula: see text] are calculated from the measured strain drops and used to determine the corresponding Energy distributions [Formula: see text]. Power law distributions [Formula: see t...

Previously it was shown that left ventricular (LV) myocardial contractility can be assessed from the instantaneous relation between velocity of fiber shortening and maximum LV wall tension (VcF at max T). Such analysis is complex, requiring frame-by-frame correlation of LV dimensions with pressure, and a simpler approach was sought. In 50 patients the mean velocity of circumferential fiber shor...

Motivated by the classical harmonic mean formula, estabished Aldous in 1989, we investigate relation between sojourn time and supremum of a random process X(t),t∈Rd extend formula for general stochastically continuous X. We discuss two applications concerning continuity distribution X representations Pickands constants.

OBJECTIVES Preterm infants often experience suboptimal growth, which can affect organ development. The aim of this study was to improve growth by treatment with bile salt-stimulated lipase (BSSL), naturally present in breast milk, but lost after pasteurization, and absent in formula. METHODS Two clinical trials were performed with a predefined analysis of combined data to investigate the effe...