Concept

Squeeze mapping

Related publications (25)

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Matching Antisymmetric Arc Optics to Symmetric Interaction Region

José Luis Abelleira Fernández, Frank Zimmermann

Considering a generic double-ring collider, we discuss the matching from an antisymmetric optics in the arcs to a symmetric optics in the interaction region (IR) by means of an antisymmetric matching section. As an example, we present an application to the ...

2013

Closing Large Hyperbolic 2g-gons

Poincaré's uniformisation theorem says that any Riemann surface is conformally equivalent to a unique (up to isometry) surface of constant Gauss curvature 0, 1 or –1. The (topologically) richest of these three worlds is for curvature –1 formed of hyperboli ...

EPFL2012

Approximate Cloaking for the Full Wave Equation via Change of Variables

Hoài-Minh Nguyên

We study, in the context of the full wave equation, an approximate cloaking scheme that was previously considered for the Helmholtz equation [R. V. Kohn, D. Onofrei, M. S. Vogelius, and M. I. Weinstein, Comm. Pure Appl. Math., 63 (2010), pp. 973--1016, H.- ...

Society for Industrial and Applied Mathematics2012

Capacities, Systoles and Jacobians of Riemann Surfaces

Björn Mützel

To any compact Riemann surface of genus g one may assign a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Jacobian is a complex torus and we call a Gram matrix of the lattice of a Jacobian a period Gra ...

EPFL2011

Transformation of 17 alpha-Ethinylestradiol during Water Chlorination: Effects of Bromide on Kinetics, Products, and Transformation Pathways

Urs von Gunten, Yun Ho Lee

Kinetics, products, and pathways of 17 alpha-ethinylestradiol (EE2) transformation during chlorination of water with and without bromide (Br-) were studied to evaluate the effect of chlorination on the fate of steroid estrogens. Br- can be important for th ...

2009

BECOOL: Ballooning eigensolver with COOL finite elements

Jonathan Graves, Wilfred Anthony Cooper

An incompressible variational ideal ballooning mode equation is discretized with the COOL finite element discretization scheme using basis functions composed of variable order Legendre polynomials. This reduces the second order ordinary differential equati ...

2009

Synthèse d'images moiré

Sylvain Chosson

We explore a new approach for synthesizing moiré images that can be used for authentication of documents. For synthesizing moiré images, we need two layers: a base layer made of replicated bands or parallelograms and a revealing layer made of transparent l ...

EPFL2006

Wavelets on non-Euclidean manifolds

Iva Bogdanova Vandergheynst

This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...

EPFL2006

Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs

Alfio Quarteroni

For the numerical simulation of the circulatory system, geometrical multiscale models based on the coupling of systems of differential equations with different spatial dimensions are becoming common practice. In this paper we address the mathematical analy ...

2005

Survivable MApping Algorithm by Ring Trimming (SMART) for large IP-over-WDM networks

Patrick Thiran, Maciej Kurant

We develop a fast and efficient algorithm that finds a survivable (i.e., robust to single fiber failures) mapping of IP topology on the mesh of fibers in IP-over-WDM networks; we call it SMART. A number of algorithms solving this problem can be found in th ...

2004