arXiv Open Access 2018

The Graph Structure of Chebyshev Polynomials over Finite Fields and Applications

Claudio Qureshi Daniel Panario
Lihat Sumber

Abstrak

We completely describe the functional graph associated to iterations of Chebyshev polynomials over finite fields. Then, we use our structural results to obtain estimates for the average rho length, average number of connected components and the expected value for the period and preperiod of iterating Chebyshev polynomials.

Topik & Kata Kunci

Penulis (2)

C

Claudio Qureshi

D

Daniel Panario

Format Sitasi

Qureshi, C., Panario, D. (2018). The Graph Structure of Chebyshev Polynomials over Finite Fields and Applications. https://arxiv.org/abs/1803.06539

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2018
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓