Add to ORKGWe provide a quantitative lower bound to the Cheeger constant of a set \(\Omega\) in both the Euclidean and the Gaussian settings in terms of suitable asymmetry indexes. We provide examples which show that these quantitative estimates are sharp.  
Restricted isometry constants (RICs) provide a measure of how far from an isometry a matrix can be w...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
Abstract A new proof is given for the fact that centered Gaussian functions saturate ...
We provide a quantitative lower bound to the Cheeger constant of a set Ω in both the Euclidean and t...
We provide a quantitative lower bound to the Cheeger constant of a set $\Omega$ in both the Euclidea...
The study of the optimal constant $mathcal{K}_q(Omega)$ in the Sobolev inequality $$ ||u||_{L^q(O...
We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighborhoods of cu...
The study of the optimal constant q(Ω) in the Sobolev inequality ||u||Lq(Ω)≤1/q(Ω)||Du||(ℝn), 1≤q<1*...
We prove isoperimetric inequality on a Riemannian manifold, assuming that the Cheeger constant for b...
3siWe provide a full quantitative version of the Gaussian isoperimetric inequality: the difference b...
Abstract. We provide a full quantitative version of the Gaussian isoperimetric in-equality: the diff...
Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Progra...
The graph Cheeger constant and Cheeger inequalities are generalized to the case of hypergraphs whose...
AbstractWe will give a sharp bound for the regularity index of arbitrary fat points in P3 which gene...
We provide a sharp quantitative version of the Gaussian concentration inequality: for every r > 0, ...
Restricted isometry constants (RICs) provide a measure of how far from an isometry a matrix can be w...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
Abstract A new proof is given for the fact that centered Gaussian functions saturate ...
We provide a quantitative lower bound to the Cheeger constant of a set Ω in both the Euclidean and t...
We provide a quantitative lower bound to the Cheeger constant of a set $\Omega$ in both the Euclidea...
The study of the optimal constant $mathcal{K}_q(Omega)$ in the Sobolev inequality $$ ||u||_{L^q(O...
We study the Cheeger constant and Cheeger set for domains obtained as strip-like neighborhoods of cu...
The study of the optimal constant q(Ω) in the Sobolev inequality ||u||Lq(Ω)≤1/q(Ω)||Du||(ℝn), 1≤q<1*...
We prove isoperimetric inequality on a Riemannian manifold, assuming that the Cheeger constant for b...
3siWe provide a full quantitative version of the Gaussian isoperimetric inequality: the difference b...
Abstract. We provide a full quantitative version of the Gaussian isoperimetric in-equality: the diff...
Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Progra...
The graph Cheeger constant and Cheeger inequalities are generalized to the case of hypergraphs whose...
AbstractWe will give a sharp bound for the regularity index of arbitrary fat points in P3 which gene...
We provide a sharp quantitative version of the Gaussian concentration inequality: for every r > 0, ...
Restricted isometry constants (RICs) provide a measure of how far from an isometry a matrix can be w...
summary:First we recall a Faber-Krahn type inequality and an estimate for $\lambda_p(\Omega)$ in ter...
Abstract A new proof is given for the fact that centered Gaussian functions saturate ...