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Taking the Measure of One-Dimensional Dynamics
One-dimensional dynamics has become a vast area, exploiting tools from complex analysis, Diophantine approximation, ergodic theory and operator theory. It is remarkable as well as reassuring that many of the conjectured features of one-dimensional systems are by now rigorously proven, although many questions, some major conjectures among them, remain open. To mention a few:
- MLC (is the Mandelbrot set locally
connected?) is still wide open and the structure of the Multibrot
set (Mandelbrot set for for higher degree
polynomials) is still poorly understood.
The central part of the workshop consists of invited talks that have a general flavor.