39 citations · 107 across the 14 of their papers we have counts for
17 papers
The Analytic Minimal Rank Sard Conjecture
A Belotto da Silva, A Parusiński, L Rifford
We obtain, under an additional assumption on the subanalytic abnormal distribution constructed in [4], a proof of the minimal rank Sard conjecture in the analytic category. It esta…
On the time for a runner to get lonely
Ludovic Rifford
The Lonely Runner Conjecture asserts that if runners with distinct constant speeds run on the unit circle starting from at time , then each runne…
A quantitative version of Tao's result on the Toeplitz Square Peg Problem
Ludovic Rifford
Building on a result by Tao, we show that a certain type of simple closed curve in the plane given by the union of the graphs of two -Lipschitz functions inscribes a square whos…
Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3
A Belotto da Silva, A Figalli, A Parusiński +1
In this paper we prove the strong Sard conjecture for sub-Riemannian structures on 3-dimensional analytic manifolds. More precisely, given a totally nonholonomic analytic distribut…
Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups
Zeinab Badreddine, Ludovic Rifford
We prove that two-step analytic sub-Riemannian structures on a compact analytic manifold equipped with a smooth measure and Lipschitz Carnot groups satisfy measure contraction prop…
The Sard conjecture on Martinet surfaces
André Belotto da Silva, Ludovic Rifford
Given a totally nonholonomic distribution of rank two on a three-dimensional manifold we investigate the size of the set of points that can be reached by singular horizontal paths…