Publications associées à Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II

Symmetry breaking in mechanical systems

The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...

EPFL2005

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Klaus-Dieter Semmler, Thomas Gauglhofer

Summary: We explicitly give

calT

, the Teichmüller space of four-holed spheres (which we call

X

pieces) in trace coordinates, as well as its modular group and a fundamental domain for the action of this group on

calT

which is its moduli space. As a co ...

2005

Optimal control of geodesics in Riemannian manifolds

Klaus-Dieter Semmler, Roland Rozsnyo

Summary: We present a method based on an optimal control technique for numerical computations of geodesic paths between two fixed points of a Riemannian manifold under the assumption of existence. In this method, the control variable is the tangent vector ...

2004

Correlation between modulation and structural disorder in the 4,4 '-diethoxyazoxybenzene

Gervais Chapuis, Philip Pattison

The structural refinement of the modulated phase of 4,4'-Diethoxyazoxybenzene (DXB) indicates a correlation between the shifts on the DXB molecule (modulation) and the probability to find the azoxy (N --> O) group in different configurations (disorder). Th ...

2004

Ideal bicombings for hyperbolic groups and applications

Nicolas Monod

For every hyperbolic group and more general hyperbolic graphs, we construct an equivariant ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved manifolds. We then construct a cohomological invariant which implies that s ...

2004

Liouville type theorems for mappings with bounded (co)-distortion

Marc Troyanov

We obtain Liouville type theorems for mappings with bounded

s

-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded

q

-codistorsion. ...

2002

Boundary behavior of quasi-regular maps and the isodiametric profile

Marc Troyanov

We study obstructions for a quasi-regular mapping f : M -> N of finite degree between Riemannian manifolds to blow up on or collapse on a non-trivial part of the boundary of M. ...

2001

L'horizon de SOL

Marc Troyanov

The goal of this paper is to give an explicit analysis of the geodesic flow on the three dimensional Lie group SOL. In particular we describe its horizon. (The horizon of a riemannian manifold is a topological space parametrizing the asymptotic classes of ...

1998

The Schwarz lemma for nonpositively curved Riemannian surfaces

Marc Troyanov

In this paper, we prove that if f is a conformal map between two Riemannian surfaces, and if the curvature of the target is nonpositive and less than or equal to the curvature of the source, then the map is contracting. ...

1991

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II

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Symmetry breaking in mechanical systems

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Optimal control of geodesics in Riemannian manifolds

Correlation between modulation and structural disorder in the 4,4 '-diethoxyazoxybenzene

Ideal bicombings for hyperbolic groups and applications

Liouville type theorems for mappings with bounded (co)-distortion

Boundary behavior of quasi-regular maps and the isodiametric profile

L'horizon de SOL

The Schwarz lemma for nonpositively curved Riemannian surfaces

Symmetry breaking in mechanical systems

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Trace coordinates of Teichmüller space of Riemann surfaces of signature $(0,4)$

Optimal control of geodesics in Riemannian manifolds

Correlation between modulation and structural disorder in the 4,4 '-diethoxyazoxybenzene

Ideal bicombings for hyperbolic groups and applications

Liouville type theorems for mappings with bounded (co)-distortion

Boundary behavior of quasi-regular maps and the isodiametric profile

The Schwarz lemma for nonpositively curved Riemannian surfaces

L'horizon de SOL