activity
20092026
most citedCounterexamples, covering systems, and zero-one laws for inhomogeneous approximation

13 citations · 22 across the 15 of their papers we have counts for

collaborators

18 papers

math.DS2026

Straight-line trajectories on the Mucube

Andre Oliveira, Felipe A. Ramírez, Chandrika Sadanand +1

The dynamics of straight line flows on compact half-translation surfaces (surfaces formed by gluing Euclidean polygons edge-to-edge via translations possibly composed with rotation…

math.NT2026

Duffin--Schaeffer examples, real residue systems, and Bohr-set primes

Stefan M. Hesseling, Felipe A. Ramirez

We prove the following generalization of a well-known result of Duffin and Schaeffer: For any given countable sets and $Z\subset\mathbb{R}\setminus\operatorna…

math.NT2024

The Duffin-Schaeffer conjecture with a moving target

Manuel Hauke, Felipe A. Ramirez

We prove the inhomogeneous generalization of the Duffin-Schaeffer conjecture in dimension . That is, given and $ψ:\mathbb{N}\to\mathbb{R}_{\g…

math.NT2024

Metric bootstraps for limsup sets

Felipe A. Ramirez

In metric Diophantine approximation, one frequently encounters the problem of showing that a limsup set has positive or full measure. Often it is a set of points in -dimensional…

math.NT2023★ 1 cited

Inhomogeneous approximation for systems of linear forms with primitivity constraints

Demi Allen, Felipe A. Ramirez

We study (inhomogeneous) approximation for systems of linear forms using integer points which satisfy additional primitivity constraints. The first family of primitivity constraint…

math.NT2022

The Duffin--Schaeffer conjecture for systems of linear forms

Felipe A. Ramirez

We extend the Duffin--Schaeffer conjecture to the setting of systems of linear forms in variables. That is, we establish a criterion to determine whether, for a given rate…