Research programme in relation to the state-of-the-art:
Geometrical-analytic tools have been developed by leading scientists in low dimensional, interval and holomorphic dynamics and scaling limits: C. McMullen [McM], J.-Ch. Yoccoz, S. Smirnov (Fields medallists) [Smi], A. Avila [Avila].
In the objectives a) and c) the team has already a substantial successes (see e.g. the monography [PU] by F. Przytycki and M. Urbanski) and is close to world leading edge. In b) (scaling limits) and d), it needs a substantial transfer of knowledge to catch up and unlock its technical potential and enthusiasm of its young researchers.
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