3 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Schmidt's Game and Nonuniformly Expanding Interval Maps
Jason Duvall
We study Manneville-Pomeau maps on the unit interval and prove that the set of points whose forward orbits miss an interval with left endpoint 0 is strong winning for Schmidt's gam…