For more information about this meeting, contact Dmitri Burago, Anatole Katok.
|Title:||One-dimensional polynomial maps, periodic points and multipliers|
|Seminar:||Center for Dynamics and Geometry Seminars|
|Speaker:||Yuri Zarhin, Penn State|
|Let $z -> g(z)$ be a polynomial degree $n$ map that has the maximal possible number of points of period $r$. Viewing the periodic points as locally defined holomorphic functions in the coefficients of $g(z)$, we discuss the rank of a map that assigns to these points the corresponding multipliers. In particular, we give a partial answer to a question of Yu.S. Ilyashenko.|
Room Reservation Information
|Date:||02 / 14 / 2011|
|Time:||03:35pm - 05:30pm|