3 papers
math.DS2026
Khintchine dichotomy for images of self-similar measures and almost random walks
Liyang Shao
Following the celebrated breakthrough in Bénard-He-Zhang, we prove Khintchine dichotomy for push-forwards of self-similar measures on under uniform maps. F…
math.NT2025
Winning and nullity of inhomogeneous bad
Shreyasi Datta, Liyang Shao
We prove the hyperplane absolute winning property of weighted inhomogeneous badly approximable vectors in . This answers a question by Beresnevich--Nesharim--Yang and…
math.NT2023
Winning of inhomogeneous bad for curves
Shreyasi Datta, Liyang Shao
We prove the absolute winning property of weighted simultaneous inhomogeneous badly approximable vectors on non-degenerate analytic curves. This answers a question by Beresnevich,…