Genericity of infinite entropy for maps with low regularity
Genericity of infinite entropy for maps with low regularity
For bi-Lipschitz homeomorphisms of a compact manifold it is known that topological entropy is always finite.For compact manifolds of dimension two or greater, we show that in the closure of the space of bi-Lipschitz homeomorphisms, with respect to either the Hölder or the Sobolev topologies, topological entropy is generically infinite.We …