We prove that for the iterated Poisson polynomial rings known as nilpotent algebras (or Poisson-CGL extensions), prime spectrum is catenary, i.e., all saturated chains of inclusions ideals between any two given have same length.

In the present paper we consider compound Poisson approximation by Stein’s method for dissociated random variables. We present some applications to problems in system reliability. In particular, our examples have the structure of an incomplete U-statistics. We mainly apply techniques from Barbour and Utev, who gave new bounds for the solutions of the Stein equation in compound Poisson approxima...

It is well known that a Lie groupoid G canonically defines both a C *-algebra C * (G) and a Poisson manifold A * (G). We show that the maps G → C * (G) and G → A * (G) are functorial with respect to suitably defined categories. The arrows (Hom-spaces) between Lie groupoids are taken to be isomorphism classes of regular bibundles (Hilsum–Skandalis maps), composed by a canonical bibundle tensor p...

Teo Banica Block-modified Wishart matrices and free Poisson laws We study the random matrices of type W̃ = (id ⊗ φ)W , where W is a complex Wishart matrix of parameters (dn, dm), and φ : Mn(C) → Mn(C) is a self-adjoint linear map. We prove that, under suitable assumptions, we have the d→∞ eigenvalue distribution formula δmW̃ ∼ πmnρ ν, where ρ is the law of φ, viewed as a square matrix, π is the f...

We present a general theorem describing the isomorphisms of the local Lie algebra structures on the spaces of smooth (real-analytic or holomorphic) functions on smooth (resp. real-analytic, Stein) manifolds, as for example those given by Poisson or contact structures, but we consider degenerate structures as well. Introduction We shall admit different classes of smoothness, so by a manifold of ...

Let m be a random tessellation in R, d ≥ 1, observed in the window Wρ = ρ1/d[0, 1], ρ > 0, and let f be a geometrical characteristic. We investigate the asymptotic behaviour of the maximum of f(C) over all cells C ∈ m with nucleus in Wρ as ρ goes to infinity. When the normalized maximum converges, we show that its asymptotic distribution depends on the so-called extremal index. Two examples of ...

The Adaptive Poisson-Boltzmann Solver (APBS) is a state-of-the-art suite for performing Poisson-Boltzmann electrostatic calculations on biomolecules. The iAPBS package provides a modular programmatic interface to the APBS library of electrostatic calculation routines. The iAPBS interface library can be linked with a FORTRAN or C/C++ program thus making all of the APBS functionality available fr...

We define the Poisson quasi-Nijenhuis structures with background on Lie algebroids and we prove that to any generalized complex structure on a Courant algebroid which is the double of a Lie algebroid is associated such a structure. We prove that any Lie algebroid with a Poisson quasi-Nijenhuis structure with background constitutes, with its dual, a quasi-Lie bialgebroid. We also prove that any ...

We construct operators t(z) in the elliptic algebra Aq,p(ŝl(2)c). They close an exchange algebra when pm = qc+2 for m ∈ Z. In addition they commute when p = q2k for k integer non-zero, and they belong to the center of Aq,p(ŝl(2)c) when k is odd. The Poisson structures obtained for t(z) in these classical limits are identical to the q-deformed Virasoro Poisson algebra, characterizing the exchang...

— Our goal is to design a traf c model for non congested Internet backbone links, which is simple enough to be used in network operation, while being as general as possible. The proposed solution is to model the traf c at the ow level by a Poisson shot-noise process. In our model, a ow is a generic notion that must be able to capture the characteristics of any kind of data stream. We analyze th...