Quasiconformal Folding

Chris Bishop
SUNY Stony Brook

I will describe a method of building entire functions using the measurable Riemann mapping theorem that gives good control of the singular values. One application answers a question of Eremenko by showing that `true forms' of finite trees are dense in all planar continua, and another produces an entire function with bounded singular set that has a wandering domain (this is known impossible if the function has finite singular set).

Presentation (PDF File)

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