The Thurston algorithm for real entire transcendental maps

Vortrag von Prof. Dr. Sebastian Van Strien

Sprecher eingeladen von: Prof. Dr. Corinna Ulcigrai

Datum: 26.11.25  Zeit: 13.30 - 14.30  Raum: Y27H28

Thurston’s characterisation theorem gives a necessary and sufficient condition for when a branched covering map of the sphere (for which the orbits of the branch points have finite cardinality) can be realised by a rational map. In spite of progress, an analogous result for entire maps of the complex plane seem to be not yet known. In this talk, I will discuss a somewhat different approach in the setting of real entire maps whose post-singular set is real and has finite cardinality.