3 papers
math.DS2025
Cohomological equation for geodesic flows on flat surfaces
Giovanni Forni, Nelson Moll
We prove the existence of solutions of the cohomological equation for the geodesic flow on the unit tangent bundle of a compact flat surface with finitely many cone points. We also…
math.DS2025
Finite codimension stability of invariant surfaces
Giovanni Forni
Following recent work of T. Alazard and C. Shao on applications of para-differential calculus to smooth conjugacy and stability problems for Hamiltonian systems, we prove finite co…
math.DS2024
Horocycle flow at product of two primes
Giovanni Forni, Adam Kanigowski, Maksym Radziwiłł
We show that if is a co-compact arithmetic lattice in or then the horocycle orbit of every non-periodic point …