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Two main themes : how do dynamical degrees relate to entropy\, and how do these notions of complexity vary as parameters change? The recent work of Junyi Xie on semicontinuity of dynamical degrees\, a priori only in codimension 1. This will be a continuation of the first mini-course on dynamical degree by Favre. Relation of dynamical degrees to topological entropy: Gromov upper bound on entropy for endomorphisms\, and a few words on Yomdin's lower bound (for instance proving the lower bound in terms of topological degree).

Information about the video

  • Date of recording 17/06/2025
  • Date of publication 26/05/2026
  • Institution Institut Fourier
  • Language English
  • Format MP4

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