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4:00 pm Wednesday, September 13, 2017 Geometry-Analysis Seminar: The Polynomial Inverse Image Method and Generalized Julia Setsby Gökalp Alpan (Rice University) in HBH 227- In the first part of the talk, we consider a method which is called the polynomial inverse image method. It is used to transform results from an interval to more general subsets of the real line. This method has been successful in many situations: Bernstein's inequality, Markov's inequality, fine zero spacing of orthogonal polynomials, Widom factors for equilibrium measures, etc. In the second part, we focus on construction of Cantor sets obtained via composition of infinitely many polynomials. These sets are natural generalizations of classical polynomial Julia sets. We discuss recent results related to asymptotics of orthogonal polynomials and Chebyshev polynomials on them.
Submitted by damanik@rice.edu |