3 papers
math.NT2025
Geometric and arithmetic aspects of approximation vectors
Uri Shapira, Barak Weiss
Let . We associate three objects to each approximation of : the projection of the lattice to the…
math.NT2025
Escape of mass of the Thue-Morse sequence
Erez Nesharim, Uri Shapira, Noy Soffer Aranov
Every Laurent series in has a continued fraction expansion whose partial quotients are polynomials. De Mathan and Teulié proved that…
math.DS2024
On the rate of convergence of continued fraction statistics of random rationals
Ofir David, Taehyeong Kim, Ron Mor +1
We show that the statistics of the continued fraction expansion of a randomly chosen rational in the unit interval, with a fixed large denominator , approaches the Gauss-Kuzmin…