3 problems

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Non-achievability conjecture for adjoint Cantorvals
Let $(x_n)$ be a fast convergent sequence, and let $\widehat{E(x_n)}$ denote its adjoint Cantorval. An adjoint Cantorval is achievable if it is the achievement set of some converge…
Conjectureopenachievement-sets cantorvals real-analysisarXiv posted 2 days ago
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Cantorvals in the spectrum of the two-dimensional Fibonacci Schrödinger operator
A Cantorval is a compact subset of the real line with dense interior such that none of its connected components is isolated. Consider a discrete two-dimensional Schrödinger operato…
Conjectureopencantorvals quasiperiodic-operators spectral-theoryarXiv posted 2 days ago
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Conjecture on achievement sets of a Cantor set and two Cantorvals
Let $X$ be a Cantor set and let $Y$ and $Z$ be Cantorvals satisfying … A set is an achievement set if it is the set of all subsums of an absolutely summable sequence. Achievement-s…
Conjectureopenachievement-sets cantorvalsarXiv posted 2 days ago

Non-achievability conjecture for adjoint Cantorvals