17 citations · 72 across the 27 of their papers we have counts for
9 papers · 1 filter
Bernoulli decomposition and arithmetical independence between sequences
Han Yu
In this paper we study the following set\[A=\{p(n)+2^nd \mod 1: n\geq 1\}\subset [0.1],\] where is a polynomial with at least one irrational coefficient on non constant terms,…
An improvement on Furstenberg's intersection problem
Han Yu
In this paper, we study a problem posed by Furstenberg on intersections between invariant sets. We present here a direct geometrical counting argument to revis…
On GILP's group theoretic approach to Falconer's distance problem
Han Yu
In this paper, we follow and extend a group-theoretic method introduced by Greenleaf-Iosevich-Liu-Palsson (GILP) to study finite points configurations spanned by Borel sets in $\ma…
Dimensions of triangle sets
Han Yu
In this paper, we discuss some dimension results for triangle sets of compact sets in . In particular, we prove that for any compact set in , the tr…
Multi-rotations on the unit circle
Han Yu
In this paper, we study multi-rotation orbits on the unit circle. We obtain a natural generalization of a classical result which says that orbits of irrational rotations on the uni…
On the Hausdorff dimension of microsets
Jonathan M. Fraser, Douglas C. Howroyd, Antti Käenmäki +1
We investigate how the Hausdorff dimensions of microsets are related to the dimensions of the original set. It is known that the maximal dimension of a microset is the Assouad dime…