Self-Similar Jordan Arcs Which Do Not Satisfy OSC

Andrey Tetenov, Kirill Kamalutdinov, Dmitry Vaulin

It was proved in 2007 by C.Bandt and H.Rao that if a system $S=\{S_1,...,S_m\}$ of contraction similarities in $R^2$ with a connected attractor $K$ has the finite intersectio…