diversity in experimental plant populations Josef F. Stuefer*, Niels P. R. Anten, Hans de Kroon, Janny L. Peters, Annemiek Smit-Tiekstra, Peter J. Vermeulen† and Heinjo J. During Experimental Plant Ecology, Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ Nijmegen, The Netherlands; Plant Ecology & Biodiversity, Utrecht University, Kruyt-building, Padualaan 8, 3584 CH Utrecht, The Nether...

Let Q(z, w) = − ∏n k=1[(z − ak)(w̄ − āk) − R]. The main result of the paper states that in the case when the nodes aj are situated at the vertices of a regular n-gon inscribed in the unit circle, the matrix Q(ai, aj) is positive definite if and only if R < ρn, where z = 2ρ 2 n − 1 is the smallest 6= −1 zero of the Jacobi polynomial Pn−2ν,−1 ν (z), ν = [n/2].

We prove that Hadwiger’s conjecture holds for line graphs. Equivalently, we show that for every loopless graph G (possibly with parallel edges) and every integer k ≥ 0, either G is k-edge-colourable, or there are k + 1 connected subgraphs A1, ..., Ak+1 of G, each with at least one edge, such that E(Ai ∩ Aj) = ∅ and V (Ai ∩ Aj) 6= ∅ for 1 ≤ i < j ≤ k.

Let Qn(x) = ∑n i=0 Aix i be a random algebraic polynomial where the coefficients A0, A1, · · · form a sequence of centered Gaussian random variables. Moreover, assume that the increments ∆j = Aj − Aj−1, j = 0, 1, 2, · · · are independent, A−1 = 0. The coefficients can be considered as n consecutive observations of a Brownian motion. We study the asymptotic behaviour of the expected number of lo...

In this paper, we investigate the relations between the small functions and the solutions, first, second derivatives, and differential polynomial of the solutions to the differential equation f ′′ +A1e P f ′ +A0e f = 0, where P (z) = anz + · · · + a0, Q(z) = bnz + · · · + b0 are polynomials with degree n (n ≥ 1), ai, bi (i = 0, 1, . . . , n), anbn 6= 0 are complex constants, Aj(z) 6≡ 0 (j = 0, ...

Background: Numerous studies have indicated that there is a possible relationship between GBA variants and Parkinson's disease (PD), however, most of them focused on a few variants such as L444P, N370S. We performed a comprehensive pooled analysis to clarify the relationship between variations of GBA and the risk of PD in different racial groups. Methods: Standard meta-analysis was conducted, i...

Abstract An analysis is presented of the submesoscale tidally-induced anticyclonic eddies formed at eastern mouth Strait Gibraltar and their role in explaining mesoscale features Atlantic Jet – Western Alboran Gyre (AJ-WAG) system. These have been identified for first time using an observational approach based on High Frequency Radar (HFR) derived surface currents which has complemented with Se...

We study long time dynamical properties of a chain of harmonically bound Brownian particles. This chain is allowed to wander everywhere in the plane. We show that the scaling variables for the occupation times Tj, areas Aj and winding angles θj (j = 1, . . . , n labels the particles) take the same general form as in the usual Brownian motion. We also compute the asymptotic joint laws P ({Tj}), ...

Let rj , j = 0, 1, . . . be the Rademacher functions on [0, 1]. We prove that for every measurable subset E of [0, 1] with |E| > 0 and for each λ > 1 there exists a positive integer N such that for all real-valued sequences {aj} there exists a subset J of [0, 1] such that ∑∞ j=N |aj | ≤ λ |J| ∫ J∩E ∣∣∣∑∞j=0 ajrj(t)∣∣∣2 dt.

monary inflammation in healthy human volunteers. Am J Respir Crit Care Med 2000; 162:981–988. 35. Pekkanen J, Brunner EJ, Anderson HR, Tiittanen P, Atkinson RW. Daily concentrations of air pollution and plasma fibrinogen in London. Occup Environ Med 2000;57:818–822. 36. Mutlu GM, Green D, Bellmeyer A, Baker CM, Burgess Z, Rajamannan N, Christman JW, Foiles N, Kamp DW, Ghio AJ, Chandel NS, Dean ...