Morales theorem extension for sectional-hyperbolic attractors
Morales theorem extension for sectional-hyperbolic attractors
Let a sectional-hyperbolic attracting set be close to a sectional-hyperbolic attractor, with no dimensional restrictions; equivalently, allow any combination of stable and center-unstable dimensions satisfying and . Sectional-hyperbolic Morales extension conjecture. The statement of Theorem~ also holds for these attracting sets. The proposal extends the cited three-dimensional result to arbitrary allowed stable and center-unstable dimensions; its validity is not established in the supplied text.
Sources & referencesView supporting material
Primary source
Vitor Araujo, “On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets”, arXiv:2204.10084 (2022).
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