Publications related to Configuration Spaces Of Products

Distortion of Mappings and $L_{q,p}$-Cohomology

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the

L_{q,p}

-cohomology of these manifolds. Some applications to vanishing and non vanishing results in

L_{q,p}

-cohomology are given. ...

Springer-Verlag2009

Infinite dimensional geodesic flows and the universal Teichmüller space

François Gay-Balmaz

The subject of this thesis lies in the intersection of differential geometry and functional analysis, a domain usually called global analysis. A central object in this work is the group Ds(M) of all orientation preserving diffeomorphisms of a compact manif ...

EPFL2009

Minimum distance between pattern transformation manifolds: Algorithm and Applications

Pascal Frossard, Effrosyni Kokiopoulou

Transformation invariance is an important property in pattern recognition, where different observations of the same object typically receive the same label. This paper focuses on a transformation invariant distance measure that represents the minimum dista ...

2009

Solving the p-Laplacian on manifolds

Marc Troyanov

We prove in this paper that the equation

Delta _{p}u+h=0

on a p-hyperbolic manifold M has a solution with p-integrable gradient for any bounded measurable function h : M -> R with compact support. ...

2000

Solving the $p$-Laplacian on manifolds

Marc Troyanov

We prove in this paper that the equation

\Delta _{p}u+h=0

on a

p

- hyperbolic manifold

M

has a solution with

p

-integrable gradient for any bounded measurable function

h : M \to \mathbb R

with compact support. ...

2000

Parabolicity of manifolds

Marc Troyanov

This Paper is an introduction to the study of an invariant of Riemannian manifolds related to the non-linear potential theory of the p-Laplacian and which is called its parabolic or hyperbolic type. One of our main focus is the relationship between the asy ...

1999

Configuration Spaces Of Products

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Distortion of Mappings and $L_{q,p}$-Cohomology

Infinite dimensional geodesic flows and the universal Teichmüller space

Minimum distance between pattern transformation manifolds: Algorithm and Applications

Solving the p-Laplacian on manifolds

Solving the $p$-Laplacian on manifolds

Parabolicity of manifolds

Infinite dimensional geodesic flows and the universal Teichmüller space

Distortion of Mappings and $L_{q,p}$-Cohomology

Minimum distance between pattern transformation manifolds: Algorithm and Applications

Solving the p-Laplacian on manifolds

Solving the $p$-Laplacian on manifolds

Parabolicity of manifolds