Concept

Topological property

Related publications (63)

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Openness And Convexity For Momentum Maps

Tudor Ratiu, Juan-Pablo Ortega

The purpose of this paper is finding the essential attributes underlying the convexity theorems for momentum maps. It is shown that they are of a topological nature; more specifically, we show that convexity follows if the map is open onto its image and ha ...

2009

The scale axis transform

Mark Pauly

We introduce the scale axis transform, a new skeletal shape representation for bounded open sets O ⊂ &Rdbl;d. The scale axis transform induces a family of skeletons that captures the important features of a shape in a scale-adaptive way and ...

2009

Conformation of Circular DNA in Two Dimensions

Giovanni Dietler, Guillaume Witz, Kristian Rechendorff

The conformation of circular DNA molecules of various lengths adsorbed in a 2D conformation on a mica surface is studied. The results confirm the conjecture that the critical exponent ν is topologically invariant and equal to the self-avoiding walk value ( ...

American Physical Society2008

Reducing Synchronization Cost in Weighted Dynamical Networks Using Betweenness Centrality Measures

Martin Hasler, Ali Ajdari Rad, Mahdi Jalili

In this paper we investigate optimization of synchronization cost in undirected dynamical networks. To do so, proper weights are assigned to the networks’ edges considering node and edge betweenness centrality measures. The proposed method gives near-optim ...

IEEE2008

Amenable actions, free products and a fixed point property

Nicolas Monod

We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit such an action. We give a complete characterisation of such free products in terms of a strong fixed point property. ...

2007

Arithmeticity vs. non-linearity for irreducible lattices

Nicolas Monod

We establish an arithmeticity vs. non-linearity alternative for irreducible lattices in suitable product groups, such as for instance products of topologically simple groups. This applies notably to (a large class of) Kac–Moody groups. The alternative reli ...

2005

On the geometry of simple closed geodesics

Hugo Parlier

The leitmotif of this dissertation is the search for length formulas and sharp constants in relation with simple closed geodesics on hyperbolic compact Riemann surfaces. The main tools used are those of hyperbolic trigonometry, topological properties of si ...

EPFL2004

Multiscale modeling of oxygen diffusion through the oxide during silicon oxidation

Alfredo Pasquarello, Angelo Bongiorno

We investigate at the atomic scale the oxygen diffusion process occurring during silicon oxidation. First, we address the energetics of several oxygen species in the oxide using density-functional calculations. Our results support the interstitial O-2 mole ...

2004

Bayesian Programming for Topological Global Localization with Fingerprints

Roland Siegwart, Adriana Tapus

This paper presents a localization algorithm for indoor environments. The environmental model is topological and the approach describes how a multimodal perception increases the reliability for the topological localization problem for mobile robots, by usi ...

2004

Multi-resolution SLAM for Real World Navigation

Roland Siegwart, Adriana Tapus, Kai Oliver Arras

In this paper a hierarchical multi-resolution approach allowing for high precision and distinctiveness is presented. The method combines topological and metric paradigm. The metric approach, based on the Kalman Filter, uses a new concept to avoid the probl ...

2003