A refined conjecture for factorizations of iterates of quadratic polynomials over finite fields
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 304-311 |
| Journal / Publication | Experimental Mathematics |
| Volume | 24 |
| Issue number | 3 |
| Publication status | Published - 3 Jul 2015 |
| Externally published | Yes |
Link(s)
Abstract
Jones and Boston conjectured that the factorization process for iterates of irreducible quadratic polynomials over finite fields is approximated by a one-step Markov model. In this paper, we find unexpected and intricate behavior for some quadratic polynomials, in particular for those whose critical orbits have large cycle and small tail. We also propose a multistep Markov model that explains these new observations better than the model of Jones and Boston. © 2014 Taylor and Francis Group, LLC.
Research Area(s)
- factorization, Iteration, Markov process, quadratic polynomial
Bibliographic Note
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Citation Format(s)
A refined conjecture for factorizations of iterates of quadratic polynomials over finite fields. / Goksel, Vefa; Xia, Shixiang; Boston, Nigel.
In: Experimental Mathematics, Vol. 24, No. 3, 03.07.2015, p. 304-311.
In: Experimental Mathematics, Vol. 24, No. 3, 03.07.2015, p. 304-311.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
