Under uniform hyperbolicity of minimal configurations, twist maps exhibit a complete devil's staircase for rotation numbers versus cohomology classes; the staircase is incomplete when positive-measure KAM tori exist.
Hidden devil’s staircase in a two-dimensional elastic model of spin crossover materials
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On Aubry's completeness conjecture
Under uniform hyperbolicity of minimal configurations, twist maps exhibit a complete devil's staircase for rotation numbers versus cohomology classes; the staircase is incomplete when positive-measure KAM tori exist.