Minimizing the object dimensions in circle and sphere packing problems

Given a fixed set of identical or different-sized circular items, the problem we deal with consists on finding the smallest object within which the items can be packed. Circular, triangular, squared, rectangular and also strip objects are considered. Moreover, 2D and 3D problems are treated. Twice-differentiable models for all these problems are presented. A strategy to reduce the complexity of evaluating the models is employed and, as a consequence, instances with a large number of items can be considered. Numerical experiments show the flexibility and reliability of the new unified approach. (C) 2007 Elsevier Ltd. All rights reserved.

Decay of geometry for Fibonacci critical covering maps of the circle

We study the growth of Df `` (f(c)) when f is a Fibonacci critical covering map of the circle with negative Schwarzian derivative, degree d >= 2 and critical point c of order l > 1. As an application we prove that f exhibits exponential decay of geometry if and only if l <= 2, and in this case it has an absolutely continuous invariant probability measure, although not satisfying the so-called Collet-Eckmann condition. (C) 2009 Elsevier Masson SAS. All rights reserved.

Maximizing measures for endomorphisms of the circle

We study a given fixed continuous function phi : S(1) -> R and an endomorphism f : S(1)-> S(1), whose f-invariant probability measures maximize integral phi d mu. We prove that the set of endomorphisms having a f maximizing invariant measure supported on a periodic orbit is C(0) dense.

On isomorphism classes of C(2(m) circle plus [0, alpha]) spaces

We provide a complete isomorphic classification of the Banach spaces of continuous functions on the compact spaces 2(m) circle plus [0, alpha], the topological sums of Cantor cubes 2(m), with m smaller than the first sequential cardinal, and intervals of ordinal numbers [0, alpha]. In particular, we prove that it is relatively consistent with ZFC that the only isomorphism classes of C(2(m) circle plus [0, alpha]) spaces with m >= N(0) and alpha >= omega(1) are the trivial ones. This result leads to some elementary questions on large cardinals.

Fixed points on Klein bottle fiber bundles over the circle

The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S(1) has been solved recently.

A full family of multimodal maps on the circle

We exhibit a family of trigonometric polynomials inducing a family of 2m-multimodal maps on the circle which contains all relevant dynamical behavior.

Spaces of compact operators on C(2(m) circle plus [0, alpha]) spaces

We classify up to isomorphism the spaces of compact operators K(E, F), where E and F are Banach spaces of all continuous functions defined on the compact spaces 2(m) circle plus [0, alpha], the topological sum of Cantor cubes 2(m) and the intervals of ordinal numbers [0, alpha]. More precisely, we prove that if 2(m) and aleph(gamma) are not real-valued measurable cardinals and n >= aleph(0) is not sequential cardinal, then for every ordinals xi, eta, lambda and mu with xi >= omega(1), eta >= omega(1), lambda = mu < omega or lambda, mu is an element of [omega(gamma), omega(gamma+1)[, the following statements are equivalent: (a) K(C(2(m) circle plus [0, lambda]), C(2(n) circle plus [0, xi])) and K(C(2(m) circle plus [0, mu]), C(2(n) circle plus [0, eta]) are isomorphic. (b) Either C([0, xi]) is isomorphic to C([0, eta] or C([0, xi]) is isomorphic to C([0, alpha p]) and C([0, eta]) is isomorphic to C([0,alpha q]) for some regular cardinal alpha and finite ordinals p not equal q. Thus, it is relatively consistent with ZFC that this result furnishes a complete isomorphic classification of these spaces of compact operators. (C) 2010 Elsevier Inc. All rights reserved.

Free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus (Omega(R)/dR)

In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus Omega(R)/dR where R = C[t. t(-1), u vertical bar u(2) = t(3) - 2bt(2) + t]. The first realization provides an analogue of Wakimoto`s construction for Affine Kac-Moody algebras, but in the setting of the elliptic affine Lie algebra. The second realization gives new types of representations analogous to Imaginary Verma modules in the Affine setting. (c) 2009 Elsevier B.V. All rights reserved.

Enhancing the distribution of Swedish tourism services on international markets : Possible export-ready criteria requisitioned by European tour operators

This paper identifies subjects which are relevant for Swedish suppliers of tourism services beforeapproaching foreign markets. Most suppliers are micro, small or medium sized companies anduse intermediaries, such as tour operators, for internationalization. The research considers theopinion of British and German tour operators, which require some criteria beforehand in orderto simplify both the initialization and the development of cooperation. Destination marketingorganizations (DMOs) are hereby the go-betweens since they not only represent small-scalesuppliers on international markets, but also initiate first encounters between suppliers and touroperators. Suppliers need to provide DMOs with accurate information in order to ensure thebest possible representation. After initializing collaboration, business relationships are sought todevelop in order to facilitate long-term cooperation. Proper preparation forms therefore the basefor strengthening the competitiveness of Swedish tourism prior approaching internationalmarkets. The enhancement of distributing Swedish tourism services on foreign markets appearedto be a profitable way to enable further growth, which is strongly limited on the domestic market.Increasing the export share therefore secures and further facilitates tourism’s valuablecontributions to the Swedish economy.

Export-led recoveries in small open industrialized economies

This paper studies the role of Vertical Specialization-based trade and foreign damand push as elements capable of explaining export-led recoveries in small open industrialized economies. The empirical evidence on export-led recoveries is reviewed. Data supporting the growing importance of vertical specialization for international trade are presented. I compare the performance of two versions of a small open economy model, calibrated to mimic Canadian Business Cycles. The …rst one is based upon Schmitt-Grohe(1998). The second incorporates Vertical- Specialization-based trade. I show that an arti…cial economy featuring Vertical-Specializationbased trade in conjunction with an exogenous AR(2) process for foreign output displays improved impulse responses to a foreign output shock and is able to mimic the contribution of Canadian exports to output growth during economic recoveries.

WTO-plus commitments on the elimination of export duties: evidence of a two-tier membership?

This descriptive paper examines the prevalence of ‘WTO-plus’ commitments in accession protocols of newly acceded Members, with a focus on commitments on the elimination of export duties. It presents preliminary results of a mapping exercise carried out with respect to these commitments and seeks to answer two questions. First, can any general conclusions be drawn as to the prevalence of these commitments or are they, per definition, country-specific. Second, has the political nature of the WTO accession process allowed for the creation of a two-tier membership. The first question is answered by relying on data gathered as part of the ongoing PhD-research project conducted by the author. The project aims to construct a typology of WTO-plus commitments to allow for a more detailed analysis of the relationship between these commitments and the baseline obligations in the covered agreements. The accession of China to the WTO is commonly considered as the prime example of the inclusion of WTO-plus obligations in accession protocols. The paper tries to answer the question whether this particular accession was truly unique in nature, or whether the inclusion of “Plus” obligations is less exceptional than often assumed. Additionally, the accession protocols of other recently acceded-Members are examined to establish whether the hypothesis holds. In the PhD-research project this comparative methodology will also be applied to map WTO-plus commitments in other areas, such as anti-dumping and transparency. The second question will be answered in two stages. In a preliminary stage, international institutional law will be used to by analyzing the way in which the WTO’s Dispute Settlement Body has dealt with this type of WTO-plus commitment in its jurisprudence. The second stage deals with the question of hierarchy: Accession Protocols are negotiated with the WTO Membership, by each country willing to accede to the WTO. This poses questions as to their exact position in the system of WTO law. To establish whether evidence of a two-tier membership is present, one first has to turn back to the question whether Accession Protocols are a separate (or independent) legal instrument or an “integral part” of the WTO system of covered agreements. If newly acceded Members do not benefit from the general exceptions in order to balance their more stringent, WTO-plus, obligations, this may support the conclusion that the membership of the World Trade Organization is becoming, in fact, two-tiered.

Signatures of doubly charged Higgs in the SU(3)(L) circle times U(1)(N) model at the CERN LHC

The scalar sector of the simplest version of the 3-3-1 electroweak model is constructed with three Higgs triplets only. We show that a relation involving two of the constants of the model, two vacuum expectation values of the neutral scalars, and the mass of the doubly charged Higgs boson leads to important information concerning the signals of this scalar particle.