16 citations · 83 across the 21 of their papers we have counts for
34 papers
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…
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…
K-divergent lattices
Guy Lachman, Anurag Rao, Uri Shapira +1
We introduce a novel concept in topological dynamics, referred to as -divergence, which extends the notion of divergent orbits. Motivated by questions in the theory of inhomogen…
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 hy…
Linnik's problem in fiber bundles over quadratic homogeneous varieties
Michael Bersudsky, Uri Shapira
We compute the statistics of matrices lying on level sets of an integral polynomial defined on , a result that is a variant of the well kno…
Translates of S-arithmetic orbits and applications
Uri Shapira, Cheng Zheng
We prove that certain sequences of periodic orbits of the diagonal group in the space of lattices equidistribute. As an application we obtain new information regarding the sequence…