Monotonicity, interlacing and electrostatic interpretation of zeros of exceptional Jacobi polynomials

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

RIEMANN ZETA ZEROS AND PRIME NUMBER SPECTRA IN QUANTUM FIELD THEORY

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Palindromic and perturbed polynomials: zeros location

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Yang-Lee zeros of the two- and three-state Potts model defined on π3 Feynman diagrams

We present both analytical and numerical results on the position of partition function zeros on the complex magnetic field plane of the q=2 state (Ising) and the q=3 state Potts model defined on phi(3) Feynman diagrams (thin random graphs). Our analytic results are based on the ideas of destructive interference of coexisting phases and low temperature expansions. For the case of the Ising model, an argument based on a symmetry of the saddle point equations leads us to a nonperturbative proof that the Yang-Lee zeros are located on the unit circle, although no circle theorem is known in this case of random graphs. For the q=3 state Potts model, our perturbative results indicate that the Yang-Lee zeros lie outside the unit circle. Both analytic results are confirmed by finite lattice numerical calculations.

Zeros of Weakly Holomorphic Modular Forms of Levels 2 and 3

Let M-k(#)(N) be the space of weakly holomorphic modular forms for Gamma(0)(N) that are holomorphic at all cusps except possibly at infinity. We study a canonical basis for M-k(#)(2) and M-k(#)(3) and prove that almost all modular forms in this basis have the property that the majority of their zeros in a fundamental domain lie on a lower boundary arc of the fundamental domain.

Global Standards: Recent Developments betweend the Poles of Privacy and Cloud Computing

The development of the Internet has made it possible to transfer data ‘around the globe at the click of a mouse’. Especially fresh business models such as cloud computing, the newest driver to illustrate the speed and breadth of the online environment, allow this data to be processed across national borders on a routine basis. A number of factors cause the Internet to blur the lines between public and private space: Firstly, globalization and the outsourcing of economic actors entrain an ever-growing exchange of personal data. Secondly, the security pressure in the name of the legitimate fight against terrorism opens the access to a significant amount of data for an increasing number of public authorities.And finally,the tools of the digital society accompany everyone at each stage of life by leaving permanent individual and borderless traces in both space and time. Therefore, calls from both the public and private sectors for an international legal framework for privacy and data protection have become louder. Companies such as Google and Facebook have also come under continuous pressure from governments and citizens to reform the use of data. Thus, Google was not alone in calling for the creation of ‘global privacystandards’. Efforts are underway to review established privacy foundation documents. There are similar efforts to look at standards in global approaches to privacy and data protection. The last remarkable steps were the Montreux Declaration, in which the privacycommissioners appealed to the United Nations ‘to prepare a binding legal instrument which clearly sets out in detail the rights to data protection and privacy as enforceable human rights’. This appeal was repeated in 2008 at the 30thinternational conference held in Strasbourg, at the 31stconference 2009 in Madrid and in 2010 at the 32ndconference in Jerusalem. In a globalized world, free data flow has become an everyday need. Thus, the aim of global harmonization should be that it doesn’t make any difference for data users or data subjects whether data processing takes place in one or in several countries. Concern has been expressed that data users might seek to avoid privacy controls by moving their operations to countries which have lower standards in their privacy laws or no such laws at all. To control that risk, some countries have implemented special controls into their domestic law. Again, such controls may interfere with the need for free international data flow. A formula has to be found to make sure that privacy at the international level does not prejudice this principle.

Poles in New York in the 17th and 18th centuries,

Bibliography: p. 59-64.

Accident analysis - breakaway and nonbreakaway poles including sign and light standards along highways.

National Highway Traffic Safety Administration, Washington, D.C.

Accident analysis - breakaway and nonbreakaway poles including sign and light standards along highways.

National Highway Traffic Safety Administration, Washington, D.C.

The zeros and maxima of the Airy function and its first derivative to 25 significant figures.

Mode of access: Internet.

Zeros of Sequences of Partial Sums and Overconvergence

2000 Mathematics Subject Classification: 30B40, 30B10, 30C15, 31A15.

Age-Dependent Fragility and Life-Cycle Cost Analysis of Timber and Steel Distribution Poles Subjected to Hurricanes

Power distribution systems are susceptible to extreme damage from natural hazards especially hurricanes. Hurricane winds can knock down distribution poles thereby causing damage to the system and power outages which can result in millions of dollars in lost revenue and restoration costs. Timber has been the dominant material used to support overhead lines in distribution systems. Recently however, utility companies have been searching for a cost-effective alternative to timber poles due to environmental concerns, durability, high cost of maintenance and need for improved aesthetics. Steel has emerged as a viable alternative to timber due to its advantages such as relatively lower maintenance cost, light weight, consistent performance, and invulnerability to wood-pecker attacks. Both timber and steel poles are prone to deterioration over time due to decay in the timber and corrosion of the steel. This research proposes a framework for conducting fragility analysis of timber and steel poles subjected to hurricane winds considering deterioration of the poles over time. Monte Carlo simulation was used to develop the fragility curves considering uncertainties in strength, geometry and wind loads. A framework for life-cycle cost analysis is also proposed to compare the steel and timber poles. The results show that steel poles can have superior reliability and lower life-cycle cost compared to timber poles, which makes them suitable substitutes.