6 citations · 6 across the 4 of their papers we have counts for
5 papers
Balancing non-rectangular tables
Antoine Gournay
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…
Separation profiles, isoperimetry, growth and compression
Corentin Le Coz, Antoine Gournay
We give lower and upper bounds for the separation profile (introduced by Benjamini, Schramm & Timár) for various graphs using the isoperimetric profile, growth and Hilbertian compr…
On Critical nets in
Antoine Gournay, Yashar Memarian
Critical nets in (sometimes called geodesic nets) are embedded graph with the property that their embedding is a critical point of the total (edge) length functional…
Vanishing of -cohomology and transportation cost
Antoine Gournay
In this paper, it is shown that the reduced -cohomology is trivial for a class of finitely generated amenable groups called transport amenable. These groups are those for w…
A formula relating localisation observables to the variation of energy in Hamiltonian dynamics
Antoine Gournay, Rafael Tiedra de Aldecoa
We consider on a symplectic manifold M with Poisson bracket {,} an Hamiltonian H with complete flow and a family Phi=(Phi_1,...,Phi_d) of observables satisfying the condition {{Phi…