Publications and Preprints

Preprints

[6] Felipe Hernández, “Structure and Spectrum of Nonergodic Nilsystems” 

Preprint (2026): arXiv:2602.21021

[5] Felipe Hernández, Ioannis Kousek, Tristán Radić, “On density analogs of Hindman's finite sums theorem” 

Preprint (2025): arXiv:2510.18788

[4] Felipe Hernández, “Multiple Polynomial Recurrence in Weyl Systems” 

Preprint (2025): arXiv:2504.19899

Publications

[3] Felipe Hernández, “Infinite linear patterns in sets of positive density” 

To appear in: Transactions of the American Mathematical Society (2026)

[2] Sebastián Donoso, Felipe Hernández, Alejandro Maass, “On recurrence for Zd-Weyl systems” 

Monatshefte für Mathematik (2025). doi: 10.1007/s00605-025-02088-9 

[1] David Crnčevíc, Felipe Hernández, Kevin Rizk, Khunpob Sereesuchart, Ran Tao, “On the multiplicative independence between n and ⌊αn⌋” 

Acta Arithmetica (2024). doi: 10.4064/aa230115-18-2.