most citedMarkov Extensions and Conditionally Invariant Measures for Certain Logistic Maps with Small Holes

3 citations

researchers with a paper here

2 papers

math.SG2005★ 1 cited

Witten's Nonabelian Localization for Noncompact Hamiltonian Spaces

Stephen F. Sawin

For a finite-dimensional (but possibly noncompact) symplectic manifold with a compact group acting with a proper moment map, we show that the square of the moment map is an equivar…

math.DS2004★ 3 cited

Markov Extensions and Conditionally Invariant Measures for Certain Logistic Maps with Small Holes

Mark F. Demers

We study the family of quadratic maps f_a(x) = 1 - ax^2 on the interval [-1,1] with a between 0 and 2. When small holes are introduced into the system, we prove the existence of an…