Resumen de Total Variation of a Curve Under Chaos on the Real Line and on a Finite Graph

Kuntal Banerjee, Anubrato Bhattacharyya, Subhamoy Mondal

• We show that if f : R → R is a continuous transitive map and γ : [0, 1] → R is a nonconstant curve having finite total variation, then the total variation of f n ◦ γ tends to infinity exponentially as n → ∞. A similar result is also proved for a Devaney chaotic map on a graph G