Translation-invariant measures and shapes of random trees
In 1997, Benjamin Weiss constructed a non-trivial translation-invariant probably measure on entire functions. In this talk, we give several constructions of Aut(D)-invariant probability measures on holomorphic self-maps of the unit disk by looking at conformally-natural shapes of deterministic and random hyperbolic trees. We discuss the geometry of the complementary regions and the mixing properties of these measures.
This is joint work with U. Kreitner.
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Tuesday
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