Publications related to Low-dimensional topology

Groups of piecewise projective homeomorphisms

The group of piecewise projective homeomorphisms of the line provides straightforward torsion-free counterexamples to the so-called von Neumann conjecture. The examples are so simple that many additional properties can be established. ...

Natl Acad Sciences2013

Molding topologically-complex 3D polymer microstructures from femtosecond laser machined glass

Yves Bellouard

The fabrication of complex, three-dimensional microscale shapes that can be replicated over large surfaces is an ongoing challenge, albeit one with a wide range of possible applications such as engineered surfaces with tuned wetting properties, scaffolds f ...

Optical Society of America2013

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Martin Vetterli, Jayakrishnan Unnikrishnan

Consider the task of sampling and reconstructing a bandlimited spatial field in

\Re^2

using moving sensors that take measurements along their path. It is inexpensive to increase the sampling rate along the paths of the sensors but more expensive to incre ...

Institute of Electrical and Electronics Engineers2013

Development of a Self-Opening Neural Interface

Silvestro Micera

This article illustrates the development and preliminary results of SELINE, a self-opening neural interface. The advantages of this innovative neural interface are: higher selectivity due to its three-dimensional structure and efficient anchorage system to ...

Asme2013

Design and fabrication of a novel centimeter scale three dimensional silicon tip, tilt and piston mirror mechanism

François Barrot, Dara Zaman Bayat, Johannes Richard Cornelis Geerit Kruis, Rémy Fournier

A novel centimetre scale tip tilt piston mirror mechanism has been designed in silicon. The mirror consists of three identical mechanism parts and one mirror part. The fabrication of the parts was done with photolithography and Deep Reactive Ion Etching an ...

2013

Molecular recognition using corona phase complexes made of synthetic polymers adsorbed on carbon nanotubes

Ardemis Anoush Boghossian

Understanding mol. recognition is of fundamental importance in applications such as therapeutics, chem. catalysis and sensor design. The most common recognition motifs involve biol. macromols. such as antibodies and aptamers. The key to biorecognition cons ...

2013

Numerical comparison and calibration of geometrical multiscale models for the simulation of arterial flows

Adelmo Cristiano Innocenza Malossi, Jean Bonnemain

Arterial tree hemodynamics can be simulated by means of several models of different level of complexity, depending on the outputs of interest and the desired degree of accuracy. In this work, several numerical comparisons of geometrical multiscale models a ...

2013

Investigation of droplet shedding in flow focusing geometries using the boundary element method.

François Gallaire, Mathias Nagel

Shedding of droplets in a flow focusing junction is standard technique in two-phase microfluidics. This break-up is driven by a capillary instability. Here we present a depth-averaged approach to simulate these complex phenomena. Since the physical mechani ...

2013

The geometry of algorithms using hierarchical tensors

André Uschmajew

In this paper, the differential geometry of the novel hierarchical Tucker format for tensors is derived. The set HT,k of tensors with fixed tree T and hierarchical rank k is shown to be a smooth quotient manifold, namely the set of orbits of a Lie group ac ...

2013

Reduced basis method for parametrized elliptic optimal control problems

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Federico Negri

We propose a suitable model reduction paradigm -- the certied reduced basis method (RB) -- for the rapid and reliable solution of parametrized optimal control problems governed by partial dierential equations (PDEs). In particular, we develop the methodolo ...

Society for Industrial and Applied Mathematics2013

Low-dimensional topology

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Groups of piecewise projective homeomorphisms

Molding topologically-complex 3D polymer microstructures from femtosecond laser machined glass

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Development of a Self-Opening Neural Interface

Design and fabrication of a novel centimeter scale three dimensional silicon tip, tilt and piston mirror mechanism

Molecular recognition using corona phase complexes made of synthetic polymers adsorbed on carbon nanotubes

Numerical comparison and calibration of geometrical multiscale models for the simulation of arterial flows

Investigation of droplet shedding in flow focusing geometries using the boundary element method.

The geometry of algorithms using hierarchical tensors

Reduced basis method for parametrized elliptic optimal control problems

The geometry of algorithms using hierarchical tensors

Groups of piecewise projective homeomorphisms

Design and fabrication of a novel centimeter scale three dimensional silicon tip, tilt and piston mirror mechanism

Numerical comparison and calibration of geometrical multiscale models for the simulation of arterial flows

Molding topologically-complex 3D polymer microstructures from femtosecond laser machined glass

Investigation of droplet shedding in flow focusing geometries using the boundary element method.

Sampling High-Dimensional Bandlimited Fields on Low-Dimensional Manifolds

Reduced basis method for parametrized elliptic optimal control problems

Molecular recognition using corona phase complexes made of synthetic polymers adsorbed on carbon nanotubes

Development of a Self-Opening Neural Interface