Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Thompson, Bianca"'
We determine necessary and sufficient conditions for unicritical polynomials to be dynamically irreducible over finite fields. This result extends the results of Boston-Jones and Hamblen-Jones-Madhu regarding the dynamical irreducibility of particula
Externí odkaz:
http://arxiv.org/abs/2409.10467
We construct families of locally recoverable codes with availability $t\geq 2$ using fiber products of curves, determine the exact minimum distance of many families, and prove a general theorem for minimum distance of such codes. The paper concludes
Externí odkaz:
http://arxiv.org/abs/2204.03755
For fixed integers $D \geq 0$ and $c \geq 3$, we demonstrate how to use $2$-adic valuation trees of sequences to analyze Diophantine equations of the form $x^2+D=2^cy$ and $x^3+D=2^cy$, for $y$ odd. Further, we show for what values $D \in \mathbb{Z}^
Externí odkaz:
http://arxiv.org/abs/2105.03352
Autor:
Bell, Zoë, Camero, Jasmine, Cho, Karina, Hyde, Trevor, Lu, Chieh-Mi, Miller, Rebecca, Thompson, Bianca, Zhu, Eric
Let $L_d$ be the Latt\`es map associated to the multiplication-by-$d$ endomorphism of an elliptic curve $E$ defined over a finite field $\mathbb{F}_q$. We determine the density $\delta(L_d,q)$ of periodic points for $L_d$ in $\mathbb{P}^1(\mathbb{F}_
Externí odkaz:
http://arxiv.org/abs/2103.00074
Autor:
Juul, Jamie, Krieger, Holly, Looper, Nicole, Manes, Michelle, Thompson, Bianca, Walton, Laura
Jones conjectures the arboreal representation of a degree two rational map will have finite index in the full automorphism group of a binary rooted tree except under certain conditions. We prove a version of Jones' Conjecture for quadratic and cubic
Externí odkaz:
http://arxiv.org/abs/1804.06053
Autor:
Bell, Zoë, Camero, Jasmine, Cho, Karina, Hyde, Trevor, Lu, Chieh-Mi, Thompson, Bianca, Zhu, Eric
Publikováno v:
In Journal of Number Theory September 2022 238:951-966
Akademický článek
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Autor:
Faber, Xander, Thompson, Bianca
Publikováno v:
J. Number Theory 167 (2016) 1-6; Corrigendum: J. Number Theory 169 (2016), 439-440
Using essentially only algebra, we give a proof that a cubic rational function over $\mathbb{C}$ with real critical points is equivalent to a real rational function. We also show that the natural generalization to $\mathbb{Q}_p$ fails for all $p$.
Externí odkaz:
http://arxiv.org/abs/1601.04938
Autor:
Thompson, Bianca Merrick
A 2 x 2 factorial trial with 2 phases was conducted to evaluate the effects of weaning age (6 wk vs 12 wk) and anthelmintic treatment (non vs dewormed) on average daily weight gain (ADG) in 36 Holstein and Jersey X Holstein crossbred steers born in f
Autor:
Manes, Michelle, Thompson, Bianca
We find the limiting proportion of periodic points in towers of finite fields for polynomial maps associated to algebraic groups, namely pure power maps z^d and Chebyshev polynomials.
Comment: 18 pages, 2 figures, 10 tables
Comment: 18 pages, 2 figures, 10 tables
Externí odkaz:
http://arxiv.org/abs/1301.6158