3 papers
math.DS2026
Emergence of partially hyperbolic skew-products with circle fibers
Odylo Costa, Mauricio Poletti
We study the statistical behavior of partially hyperbolic skew-products over Axiom A diffeomorphisms using emergence. Generically, these systems satisfy the Palis conjecture: they…
math.DS2026
Low emergence in one-dimensional dynamics
Odylo Costa, Bruno Santiago
We show that every immersion of the circle into itself has low emergence.
math.DS2026
A periodic flow with high emergence
Odylo Costa
We construct a smooth nonsingular periodic flow on a compact manifold with high emergence, in sharp contrast with the low statistical complexity of periodic self-maps. The construc…