2 papers
math.DS2023
A non-mixing Arnold flow on a surface
Bassam Fayad, Adam Kanigowski, Rigoberto Zelada
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergodic component, that is asymmetrically bounded by separatrices of non-degenerate s…
math.DS2022
Mixing and rigidity along asymptotically linearly independent sequences
Rigoberto Zelada
We utilize Gaussian measure preserving systems to prove the existence and genericity of Lebesgue measure preserving transformations which exhibit both mi…