9 citations · 65 across the 21 of their papers we have counts for
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On a Hölder covariant version of mean dimension
Antoine Gournay
Let G be a infinite countable group which acts naturally on l^p(G). We introduce a modification of mean dimension which is an obstruction for l^p(G) and l^q(G) to be Hölder conjuga…
Complex surfaces and interpolation on pseudo-holomorphic cylinders
Antoine Gournay
Gromov has shown how to construct holomorphic maps of the plane to a complex manifold with prescribed values on a lattice. In the present paper, a similar interpolation theorem for…
A Runge approximation theorem for pseudo-holomorphic maps
Antoine Gournay
The Runge approximation theorem for holomorphic maps (U -> C) is a fundamental result in complex analysis. The aim of this article is to prove such a result for (pseudo-)holomorphi…
A dynamical approach to von Neumann dimension
Antoine Gournay
Let G be an amenable group and V be a finite dimensional vector space. Gromov pointed out that the von Neumann dimension of linear subspaces of l^2(G;V) (with respect to G) can be…