3 papers
math.DS2026
Straight-line trajectories on the Mucube
Andre Oliveira, Felipe A. RamÃrez, 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.NT2025
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…