2 problems

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Myrberg-set invariance for geometric CAT(0) actions
Let $G$ act geometrically on two proper CAT(0) spaces $X$ and $Y$ , and let the corresponding Myrberg sets be the subsets of their respective boundaries consisting of Myrberg points…
Conjectureopenboundary-dynamics cat-0-geometry geometric-group-theoryarXiv posted 2 days ago
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Uniqueness conjecture for the quasi-local edge mode
QLEM uniqueness conjecture. Whenever a QLEM exists, it is unique and does not depend on any additional relevant parameter.
Conjectureopenboundary-dynamics edge-modes quantum-spin-chainsarXiv posted 2 days ago

Myrberg-set invariance for geometric CAT(0) actions