Curated Routes: the notion of routes as a design tool for the conception of urban environments in Belgium

The paper discusses the starting point for the conceptualization of the ‘curated routes’ design tool. By investigating different applications of the design tool, we seek to contribute to the general discussion on the user approach in design theory. The project limits its research to urbanized environments that have been developed in the geographical area of Belgium from the World War II till the current times. In this frame the Horizontal Metropolis is approached as an urbanization concept rather than a definite image. From this point of view a breeding ground for discussion is provided on the spatial patterns and socio-cultural logics that different urban paradigms introduce

Evaluating the 6-point Remainder Function Near the Collinear Limit

The simplicity of maximally supersymmetric Yang-Mills theory makes it an ideal theoretical laboratory for developing computational tools, which eventually find their way to QCD applications. In this contribution, we continue the investigation of a recent proposal by Basso, Sever and Vieira, for the nonperturbative description of its planar scattering amplitudes, as an expansion around collinear kinematics. The method of arXiv:1310.5735, for computing the integrals the latter proposal predicts for the leading term in the expansion of the 6-point remainder function, is extended to one of the subleading terms. In particular, we focus on the contribution of the 2-gluon bound state in the dual flux tube picture, proving its general form at any order in the coupling, and providing explicit expressions up to 6 loops. These are included in the ancillary file accompanying the version of this article on the arXiv.Comment: 6 pages, 1 figure, 1 ancillary file; based on talk given at Moriond QCD 2014. v2: typo corrections, addition of an appendix on the contribution of two same-helicity gluons; to appear in Int.J.Mod.Phys.

Curated routes: the project of developing experiential tracks in sub-urban landscape

The Curated Routes project reflects on the visiting routes’ ability to make apparent the internal characteristics of urban environments. The project’s name allude to the intellectual function of curation and the materiality of routes. Curate deals with the practice of arranging material –tangible or intangible- in a way that a new understanding of an area is revealed. The word routes refers to the linear associations that link places and guide movement. The Curated Routes aim to reinforce the development of bonding ties between people and urban environments by re-constructing the way we visit and explore a place. The overall goal of the project is to outline the conceptual guidelines of a visitors’ guide that could later be used for the development of the informatics model. The project follows the methodology that the context-aware routes apply, though particular attention is paid to the second phase of the process where an innovative approach is applied. The introduction of the “chronotope” filters enables us to “knit” the terrestrial route to a range of informative storylines, and hence to develop different interpretations of an urban environment

On condition numbers of polynomial eigenvalue problems with nonsingular leading coefficients

In this paper, we investigate condition numbers of eigenvalue problems of matrix polynomials with nonsingular leading coefficients, generalizing classical results of matrix perturbation theory. We provide a relation between the condition numbers of eigenvalues and the pseudospectral growth rate. We obtain that if a simple eigenvalue of a matrix polynomial is ill-conditioned in some respects, then it is close to be multiple, and we construct an upper bound for this distance (measured in the euclidean norm). We also derive a new expression for the condition number of a simple eigenvalue, which does not involve eigenvectors. Moreover, an Elsner-like perturbation bound for matrix polynomials is presented.Comment: 4 figure

Hexagon OPE Resummation and Multi-Regge Kinematics

We analyse the OPE contribution of gluon bound states in the double scaling limit of the hexagonal Wilson loop in planar N=4 super Yang-Mills theory. We provide a systematic procedure for perturbatively resumming the contributions from single-particle bound states of gluons and expressing the result order by order in terms of two-variable polylogarithms. We also analyse certain contributions from two-particle gluon bound states and find that, after analytic continuation to the $2\to 4$ Mandelstam region and passing to multi-Regge kinematics (MRK), only the single-particle gluon bound states contribute. From this double-scaled version of MRK we are able to reconstruct the full hexagon remainder function in MRK up to five loops by invoking single-valuedness of the results.Comment: 29 pages, 3 figures, 4 ancillary file

Exact solutions for N-magnon scattering

Giant magnon solutions play an important role in various aspects of the AdS/CFT correspondence. We apply the dressing method to construct an explicit formula for scattering states of an arbitrary number N of magnons on R x S^3. The solution can be written in Hirota form and in terms of determinants of N x N matrices. Such a representation may prove useful for the construction of an effective particle Hamiltonian describing magnon dynamics.Comment: 19 pages, 1 figur