17 citations · 93 across the 40 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DS2015
The combinatorial Mandelbrot set as the quotient of the space of geolaminations
A. Blokh, L. Oversteegen, V. Timorin +1
We interpret the combinatorial Mandelbrot set in terms of \it{quadratic laminations} (equivalence relations on the unit circle invariant under ). To each lamination we…
math.DS2015
Pointwise-recurrent maps on uniquely arcwise connected locally arcwise connected spaces
Alexander M. Blokh
We prove that self-mappings of uniquely arcwise connected locally arcwise connected spaces are pointwise-recurrent if and only if all their cutpoints are periodic while all endpoin…
math.DS2015
The parameter space of cubic laminations with a fixed critical leaf
Alexander Blokh, Lex Oversteegen, Ross Ptacek +1
Thurston parameterized quadratic invariant laminations with a non-invariant lamination, the quotient of which yields a combinatorial model for the Mandelbrot set. As a step toward…