EϒPHKA! num = Δ + Δ + Δ

Dirichlet Heat Kernel Estimates for Δ +δ

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...

Detecting Omnivory with Δ Δ 15 N

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...

δ-Small Submodules and δ-Supplemented Modules

Thermoelectric properties of Zn5Sb4In2-δ (δ=0.15)

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Boundary Harnack Principle for Δ+δ

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 ...