For more information about this meeting, contact Dmitri Burago, Anatole Katok.
| Title: | One-dimensional polynomial maps, periodic points and multipliers |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Yuri Zarhin, Penn State |
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| Abstract: |
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| 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
| Room Number: | MB106 |
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| Date: | 02 / 14 / 2011 |
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| Time: | 03:35pm - 05:30pm |
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