20 citations · 67 across the 27 of their papers we have counts for
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math.DS1994
Forcing of periodic orbits for interval maps and renormalization of piecewise affine maps
Marco Martens, Charles Tresser
We prove that for continuous maps on the interval, the existence of an n-cycle, implies the existence of n-1 points which interwind the original ones and are permuted by the map. W…
math.DS1994
The set of maps F_{a,b}: x -> x+a+{b/{2 pi}} sin(2 pi x) with any given rotation interval is contractible
Adam Epstein, Linda Keen, Charles Tresser
Consider the two-parameter family of real analytic maps which are lifts of degree one endomorphisms of the circle. The purpose of thi…
math.DS1994
Inducing, slopes, and conjugacy classes
Roza Galeeva, Marco Martens, Charles Tresser
We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In parti…