4 papers
Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and Stück-Zimmer Theorem
Ilya Gekhtman, Simon Machado, Omri Solan +1
Fraczyk and Gelander proved in \cite{FG} that for any simple Lie group of high rank and for every non-lattice discrete subgroup , the injectivity radius of points in…
invariant random subsets of
MikoÅaj FrÄ czyk, Simon Machado
We classify measures on , , the space of subsets of , which are invariant under all affine special linear transformations. In other…
On the structure of approximate rings
Krzysztof KrupiÅski, Simon Machado
By a [-]approximate subring of a ring we mean an additively symmetric subset such that is covered by finitely many [resp.\ ] additive translates…
Maximal multiplicity of Laplacian eigenvalues in negatively curved surfaces
Cyril Letrouit, Simon Machado
In this work, we obtain the first upper bound on the multiplicity of Laplacian eigenvalues for negatively curved surfaces which is sublinear in the genus g. Our proof relies on a t…