Non-linearity of the pluricomplex Green function

Convergence in Capacity of the Pluricomplex Green Function

In this paper we prove that if Ω is a bounded hyperconvex domain in C and if Ω 3 zj → ∂Ω, j → ∞, then the pluricomplex Green function gΩ(zj , ·) tends to 0 in capacity, as j →∞. A bounded open connected set Ω ⊂ Cn is called hyperconvex if there exists negative plurisubharmonic function ψ ∈ PSH(Ω) such that {z ∈ Ω : ψ(z) < c} ⊂⊂ Ω for all c < 0. Such ψ is called an exhaustion function for Ω. It ...

Computing the Pluricomplex Green Function with Two Poles

On the Regularity of the Pluricomplex Green Functions

On the Non-Linearity of the RED Drop Function

This paper discusses the shape of the RED drop function necessary to confirm the requirements for AQM design. A proper AQM design implies the avoidance of forced drops and link under-utilization as well as the applicability to a wide load range. With some examples from simulations we illustrate that the original linear RED drop function cannot cope with all of these requirements. For investigat...

Non-linearity as the Metric Completion of Linearity

We summarize some recent results showing how the lambdacalculus may be obtained by considering the metric completion (with respect to a suitable notion of distance) of a space of affine lambda-terms, i.e., lambda-terms in which abstractions bind variables appearing at most once. This formalizes the intuitive idea that multiplicative additive linear logic is “dense” in full linear logic (in fact...