4 problems

Let $\mathcal S_\lambda$ be the attractor of the three-map iterated function system in the paper, and let $\omega_m$ denote the golden-gasket parameters. Interior and measure conje…

Lebesgue-measure discrepancy conjecture. There exists a constant $c_d$, depending only on $d$, such that, for every finite atomic measure $\nu_N$ centered at $N$ points,

Let $f_c$ be the Fibonacci endomorphism of $\mathbb{C}^2$ with parameter $c$, and let $K^{+}(f_c)$ denote the set of points whose forward orbits under $f_c$ remain bounded. Let…

Extra-divergence Duffin–Schaeffer conjecture. If