Zobrazeno 1 - 10
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pro vyhledávání: '"Gournay, Antoine"'
Autor:
Gournay, Antoine
Reduced cohomology motivates to look at harmonic functions which satisfy certain gradient conditions. If $G$ is a direct product of two infinite groups or a (FC-central)-by-cyclic group, then there are no harmonic functions with gradient in $c_0$ on
Externí odkaz:
http://arxiv.org/abs/2206.13275
Autor:
Gournay, Antoine
Balancing square and rectangular tables by rotation has been a interesting way to illustrate the intermediate value theorem. The aim of this note is to show that the balancing act but with non-rectangular tables can be a nice application of the ergod
Externí odkaz:
http://arxiv.org/abs/2004.09260
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Autor:
Coz, Corentin Le, Gournay, Antoine
We give lower and upper bounds for the separation profile (introduced by Benjamini, Schramm & Tim\'ar) for various graphs using the isoperimetric profile, growth and Hilbertian compression. For graphs which have polynomial isoperimetry and growth, we
Externí odkaz:
http://arxiv.org/abs/1910.11733
Autor:
Gournay, Antoine, Memarian, Yashar
Critical nets in $\mathbb{R}^k$ (sometimes called geodesic nets) are embedded graph with the property that their embedding is a critical point of the total (edge) length functional and under the constraint that certain 1-valent vertices (leaves) have
Externí odkaz:
http://arxiv.org/abs/1910.09002
Autor:
Gournay, Antoine
The aim of the current paper is to explore the implications on the group $G$ of the non-vanishing of the cohomology in degree one of one of its representation $\pi$, given some mixing conditions on $\pi$. In one direction, harmonic cocycles are used
Externí odkaz:
http://arxiv.org/abs/1607.05056
Autor:
Brieussel, Jérémie, Gournay, Antoine
Publikováno v:
Algebra and Discrete Mathematics, volume 26, number 2, pp. 190-246, 2018
We introduce the notion of connection thickness of spheres in a Cayley graph, related to dead-ends and their retreat depth. It was well-known that connection thickness is bounded for finitely presented one-ended groups. We compute that for natural ge
Externí odkaz:
http://arxiv.org/abs/1606.02506
Autor:
Gournay, Antoine
Publikováno v:
Comptes Rendus Mathematique Volume 354, Issue 8, August 2016, Pages 762-765
The aim of this note is to show that lamplighter graphs where the space graph is infinite and at most two-ended and the lamp graph is at most two-ended do not admit harmonic functions with gradients in $\ell^p$ (\ie finite $p$-energy) for any $p\in [
Externí odkaz:
http://arxiv.org/abs/1502.02269
Publikováno v:
Journal of the London Mathematical Society, Volume 93, Issue 3, June 2016
Let $\mathcal{T}_{q+1}$ be the $(q+1)$-regular tree and let $G$ be a group of automorphisms acting transitively on the vertices and on the boundary of $\mathcal{T}_{q+1}$. We give an upper bound for the growth of cocycles with values in any unitary r
Externí odkaz:
http://arxiv.org/abs/1502.00616