For d ≥ 1 and 0 < β < α < 2, consider a family of pseudo differential operators {Δ + aΔ; a ∈ [0,1]} on R that evolves continuously from Δ to Δ + Δ. It gives arise to a family of Lévy processes {X, a ∈ [0,1]} on R, where each X is the independent sum of a symmetric α-stable process and a symmetric β-stable process with weight a. For any C open set D ⊂R, we establish explicit sharp two-sided esti...

is no unambiguous evidence that plumicolous feather mites chew holes in feathers; such damage is usually caused by feather lice. Also, it has been reported that feather mites of the great-spotted woodpecker (Dryobates major) and the hoopoe (Upupa epops) avoid white spots on the feathers and instead aggregate on melanized areas 5. Thus, as we stressed in our review 3 , extrapolating from lice to...

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background and objectives: the present work was carried out to investigate the ability of spirulina platensis to produce antimicrobial substance against bacteria and fungi.  materials and methods: the cells of the cyanobacterium were subjected to different extractions and the purified antagonistic compound proved to be effective against broad spectrum of bacteria and fungi. the antagonistic com...

OBJECTIVE To assess different factors influencing adiponectinemia in obese and normal-weight women; to identify factors associated with the variation (Δ) in adiponectinemia in obese women following a 6-month weight loss program, according to surgical/non-surgical interventions. METHODS We studied 100 normal-weight women and 112 obese premenopausal women; none of them was on any medical treatm...

We derive a simple and general relation between the fidelity of quantum motion, characterizing the stability of quantum dynamics with respect to arbitrary static perturbation of the unitary evolution propagator, and the integrated time auto-correlation function of the generator of perturbation. Surprisingly, this relation predicts the slower decay of fidelity the faster decay of correlations is...

zinc coating is formed by the heterogeneous assembly of the γ, γ1, δ, ζ and η phases whose mechanicalproperties greatly differ from each other. thermal strains resulting from large differences betweenthermal expansion coefficients are partially relaxed by the formation of a crack network. in order tomodel this phenomenon, initial hardness, thermal expansion coefficient αi and toughness (kic) of...

The Pauli exclusion principle (PEP) has been tested for nucleons (n, p) in C with the Borexino detector.The approach consists of a search for γ, n, p and β emitted in a non-Paulian transition of 1P3/2shell nucleons to the filled 1S1/2 shell in nuclei. Due to the extremely low background and the large mass (278 t) of the Borexino detector, the following most stringent up-to-date experimental bou...

For d ≥ 1 and α ∈ (0, 2), consider the family of pseudo differential operators {∆ + b∆α/2; b ∈ [0, 1]} on Rd that evolves continuously from ∆ to ∆ + ∆α/2. In this paper, we establish a uniform boundary Harnack principle (BHP) with explicit boundary decay rate for nonnegative functions which are harmonic with respect to ∆ + b∆α/2 (or equivalently, the sum of a Brownian motion and an independent ...