Location:
Date & time: Thursday, 30 March 2017 at 5:00AM - 6:00PM
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Nathan Fox, Rutgers University |
"An Exploration of Nested Recurrences Using Experimental Mathematics (thesis defense) " |
| Time: 5:00 PM |
| Location: Hill 705 |
| Abstract: Nested recurrence relations, such as the Hofstadter Q-recurrence Q(n)=Q(n-Q(n-1))+Q(n-Q(n-2)), have no general theory. Solutions are highly dependent on the initial conditions, and many sequences they generate are not even known to be infinite. In this talk, we will see a variety of results pertaining to sequences arising from nested recurrences. These results include a method of automatically discovering solutions of a particular form, some sequences exhibiting never-before-seen behavior, and methodology for analyzing entire families of initial conditions simultaneously. |
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Department of Mathematics Department of Mathematics
Rutgers University Hill Center - Busch Campus 110 Frelinghuysen Road Piscataway, NJ 08854-8019, USA Phone: +1.848.445.2390 Fax: +1.732.445.5530 |
