Note on the distortion of (2,q)-torus knots

We show that the distortion of the (2,q)-torus knot is not bounded linearly from below.Comment: 8 pages, 6 figure

Exponential factorizations of holomorphic maps

We show that any element of the special linear group $SL_2(R)$ is a product of two exponentials if the ring $R$ is either the ring of holomorphic functions on an open Riemann surface or the disc algebra. This is sharp: one exponential factor is not enough since the exponential map corresponding to $SL_2(\mathbb{C})$ is not surjective. Our result extends to the linear group $GL_2(R)$.Comment: 9 page

Distortion of spheres and surfaces in space

It is known that the surface of a cone over the unit disc with large height has smaller distortion than the standard embedding of the 2-sphere in $\mathbb R^3$. In this note we show that distortion minimisers exist among convex embedded 2-spheres and have uniformly bounded eccentricity. Moreover, we prove that $\pi/2$ is a sharp lower bound on the distortion of embedded closed surfaces of positive genus.Comment: 9 pages, 1 figur

A homotopy theorem for Oka theory

We prove a homotopy theorem for sheaves. Its application shortens and simplifies the proof of many Oka principles such as Gromov’s Oka principle for elliptic submersions

Toolkit for sustainable decision making in its deployment

A number of EU-communications have addressed the fact that slow and uncoordinated decision making for ITS deployment on urban, regional and national level is the most urgent problem to be solved in order to utilise the benefits ITS deployment can gain for a sustainable European transportation system. As lack on easy and efficient access to a wide spread ITS knowledge as well as decision making for the deployment is recognised as the key factors for slow down investment on ITS on administration level. The toolkit solution presented in this paper addresses one of the most important ITS deployment related challenges on European level: Support and speed up consistent decision making related to ITS deployment for road and public transport (timely, cost-effective, interoperable, positive impact to urban and interurban mobility, positive cost/benefit ratio). It is planned to implement that solution in the 2DECIDE project, which is funded by the European Commission

Analysis of Adaptive Traffic Control Systems Design of a Decision Support System for Better Choices

open3siNear half of the world population lives in cities. For many years big cities have faced the dif culties caused by junctions. Junctions and congestion are the cause of many other problems, like air pollution, time waste, delays, increased average trip time, decreased average cruise speed, increased fuel consumption and many others. These important issues cost a lot to governments in terms of both time and money. Cities suffer from the well-known problem of xed-time planning for traf c signals at intersections. In this paper the authors went through these problems and discussed about the dif culties of xed-time plan traf c lights and their solutions. Adaptive traf c control systems are one of the soltions which are exactly opposite to xed-time plans. Four different adaptive traf c control systems will be discussed. Each of them has unique characteristics that make it worthy to compare. The general architecture of these systems is based on a similar concept, but there is a great number of general and detailed differences that makes them interesting to compare. By making a deep comparison between these systems, which is one of the outputs of this research, governments and the authorities in charge can have an appropriate reference to look for their bene ts and choose an adaptive traf c control system to apply to their networks.Studer, Luca; Ketabdari, Misagh; Marchionni, GiovannaStuder, LUCA PASINO; Ketabdari, Misagh; Marchionni, Giovann