3 papers
math.DS2026
Absolute Winning Exceptional Sets for Intermittent Interval Maps
Jason Duvall
We prove that for a Manneville--Pomeau type interval map, the set of points whose orbit closures miss a prescribed countable set is absolute winning in the sense of McMullen. The p…
math.DS2026
Survivor-conditioned renewal laws and observable bounds for open intermittent maps
Jason Duvall
Recent numerical computations and stochastic modeling by Brevitt and Klages suggest that introducing a hole in a Pomeau--Manneville map can suppress survivor-conditioned Lyapunov s…
math.DS2026
Strong-Winning Target Avoidance for Manneville--Pomeau Maps
Jason Duvall
We prove that target-avoidance sets for Manneville--Pomeau maps are strong winning for Schmidt's game. More precisely, for the class of nonuniformly expanding interval maps conside…