View Proposal #58

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ID58
First NameMarc
Last NameChamberland
InstitutionGrinnell College
Speaker Categoryfaculty
Title of TalkUnbounded Orbits and Binary Digits
AbstractWe consider iterating the map f(x)=x - 1/x, starting at x=2. Ron Graham asked whether the orbit is bounded. This problem intersects number theory (rationals, the normality of numbers) and dynamics (dynamcis on an interval, chaos). You will find out why this is such a hard problem! The talk will be accessible to a general audience.
Subject area(s)
Suitable for undergraduates?Yes
Day Preference
Computer Needed?N
Bringing a laptop?N
Overhead Needed?Y
Software requests
Special Needs
Date Submitted3/10/2004
Year2004