2 problems

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The isolation-or-local-identity conjecture for periodic points in positive characteristic
Isolation-or-local-identity conjecture. Every periodic point whose multiplier is a root of unity is either isolated as a periodic point, or has a neighborhood on which an iterate o…
Conjectureopenpositive-characteristic power-series-dynamics ultrametric-dynamicsarXiv posted 2 days ago
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Herman's divergence conjecture for formal conjugacies in prime characteristic
Let $K$ be a locally compact, complete valued field of prime characteristic, and consider polynomials of one variable over $K$ whose formal conjugacy is defined. Herman's divergenc…
Conjectureopenformal-conjugacy p-adic-dynamics ultrametric-dynamicsarXiv posted 2 days ago

The isolation-or-local-identity conjecture for periodic points in positive characteristic