Wegner estimate and level repulsion for Wigner random matrices

We consider $N\times N$ Hermitian random matrices with independent identically distributed entries (Wigner matrices). The matrices are normalized so that the average spacing between consecutive eigenvalues is of order $1/N$. Under suitable assumptions on the distribution of the single matrix element, we first prove that, away from the spectral edges, the empirical density of eigenvalues concentrates around the Wigner semicircle law on energy scales $\eta \gg N^{-1}$. This result establishes the semicircle law on the optimal scale and it removes a logarithmic factor from our previous result \cite{ESY2}. We then show a Wegner estimate, i.e. that the averaged density of states is bounded. Finally, we prove that the eigenvalues of a Wigner matrix repel each other, in agreement with the universality conjecture.Comment: 35 pages, LateX fil

Changes in some factors of the innate immunity and serum zinc and iron concentrations in pigs following intravenous administration of Escherichia coli lipopolysaccharide

The changes in some factors of the innate immunity (phagocytosis, complement, lysozyme); haematological parameters - leukocytes, erythrocytes, differential white blood cell counts, haemoglobin, haematocrit and the serum concentrations of the microelements zinc and iron in six 2- to 3-months-old female piglets after the intravenous administration of lipopolysaccharide from Escherichia coli 0111:B4 were determined. It was found out that 1 h after the administration of lipopolysaccharide at the dosage rate of 10 µg/kg body weight resulted in a decrease in the phagocytic parameters, i.e. the phagocytic number and the index of phagocytic activity, which was followed by an increase in their values between post treatment hours 2 and 4. The leukocyte counts had decreased by hour 2 after the injection, but thereafter increased, and at post treatment hour 72, a leukocytosis was observed. The differential white blood cell counts were characterized by a shift to the left between hours 2 and 4 and a statistically significant increase in lymphocyte counts at hour 48 of the experiment. The serum zinc concentrations were increased an hour after the lipopolysaccharide application; after which their average values were lower. The haemolytic activities (CH₅₀) of the classical and the alternative pathways of complement activation decreased. The haemolytic activity (CH₅₀) for the classical pathway began to increase at hour 48 following the treatment. Significant changes were not observed in lysozyme activity, serum iron concentrations or the related haematological parameters (erythrocytes and haemoglobin).The articles have been scanned in colour with a HP Scanjet 5590; 600dpi. Adobe Acrobat v.9 was used to OCR the text and also for the merging and conversion to the final presentation PDF-format

Symmetry in RLT cuts for the quadratic assignment and standard quadratic optimization problems

The reformulation-linearization technique (RLT), introduced in [W.P. Adams, H.D. Sher-ali, A tight linearization and an algorithm for zero-one quadratic programming problems, Management Science, 32(10):1274{1290, 1986], provides a way to compute linear program-ming bounds on the optimal values of NP-hard combinatorial optimization problems. In this paper we show that, in the presence of suitable algebraic symmetry in the original problem data, it is sometimes possible to compute level two RLT bounds with additional linear matrix inequality constraints. As an illustration of our methodology, we compute the best-known bounds for certain graph partitioning problems on strongly regular graphs

Global governance approaches to addressing illegal logging: Uptake and lessons learned

One of the most challenging tasks facing development agencies, trade ministries, environmental groups, social activists and forest-focused business interests seeking to ameliorate illegal logging and related timber trade is to identify and nurture promising global governance interventions capable of helping improve compliance to governmental policies and laws at national, subnational and local levels. This question is especially acute for developing countries constrained by capacity challenges and “weak states” (Risse, 2011). This chapter seeks to shed light on this task by asking four related questions: How do we understand the emergence of illegal logging as a matter of global interest? What are the types of global interventions designed to improve domestic legal compliance? How have individual states responded to these global efforts? What are the prospects for future impacts and evolution? We proceed in the following steps. Following this introduction, step two reviews how the problem of “illegal logging” emerged on the international agenda. Step three reviews leading policy interventions that resulted from this policy framing. Step four reviews developments in selected countries/regions around the world according to their place on the global forest products supply chain: consumers (United States, Europe and Australia); middle of supply chain manufacturers (China and South Korea) and producers (Russia; Indonesia; Brazil and Peru; Ghana, Cameroon and the Republic of Congo). We conclude by reflecting on key trends that emerge from this review relevant for understanding the conditions through which legality might make a difference in addressing critical challenges

The Boundary Convergence of the Steady Zero-Temperature-Driven Hard Spheres

We study the fundamental problem of two gas species in two dimensional velocity space whose molecules collide as hard circles in the presence of a flat boundary and with dependence on only one space dimension. The case of three-dimensional velocity space is a generalization. More speciffically the linear problem arising when the second gas dominates as a flow with constant velocity (and hence zero temperature) is considered. The boundary condition adopted consists of prescribing the outgoing velocity distribution at the wall. It is discovered that the presence of the boundary under general assumptions on the outgoing distribution ensures the convergence of a series of path integrals and thus a convenient representation for the solution is obtained.Comment: 13 pages, 2 figure

NLO properties of new stryquinolinium dye thin films deposited by pulsed laser deposition

International audienc

Large nonlinear optical properties of new styrylquinolinium dye thin films deposited by pulsed laser deposition

Date du colloque&nbsp;: 09/2011</p