2 papers
math.DS2025
McMullen's game for equicontinuously-twisted badly approximable points in continued fractions and beta expansions
David Lambert, David Simmons, Jiajie Zheng
In a beta-transformation (for integer beta) or a Gauss map system, given a sequence of functions fn from [0,1] to itself, consider the collection of points in [0,1] whose nth itera…
math.NT2025
Diophantine approximation on abelian varieties; a conjecture of M. Waldschmidt
Lior Fishman, David Lambert, Keith Merrill +1
Following the work of Waldschmidt, we investigate problems in Diophantine approximation on abelian varieties. First we show that a conjecture of Waldschmidt for a given simple abel…