10 citations · 20 across the 6 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.DS2019
Hyperbolicity of renormalization for dissipative gap mappings
Trevor Clark, Márcio Gouveia
A gap mapping is a discontinuous interval mapping with two strictly increasing branches that have a gap between their ranges. They are one-dimensional dynamical systems, which aris…
math.DS2019★ 3 cited
The boundary of chaos for interval mappings
Trevor Clark, Sofía Trejo
A goal in the study of dynamics on the interval is to understand the transition to positive topological entropy. There is a conjecture from the 1980's that the only route to positi…