Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Bianca Thompson"'
Publikováno v:
Designs, Codes and Cryptography. 91:2077-2105
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3b669c52d91bbd18d3da07cc73ac13c
https://doi.org/10.1007/s10623-023-01189-6
https://doi.org/10.1007/s10623-023-01189-6
Publikováno v:
Journal of Number Theory. 238:951-966
Let L d be the Lattes map associated to the multiplication-by-d endomorphism of an elliptic curve E defined over a finite field F q . We determine the density δ ( L d , q ) of periodic points for L d in P 1 ( F q ) . We show that the periodic point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c277aa730c5fdddd1f6876270849a5f7
https://doi.org/10.1016/j.jnt.2021.10.009
https://doi.org/10.1016/j.jnt.2021.10.009
Publikováno v:
Association for Women in Mathematics Series ISBN: 9783030194772
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 cubi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::868f9d6c7f341164ac75e9ba367cb405
https://doi.org/10.1007/978-3-030-19478-9_6
https://doi.org/10.1007/978-3-030-19478-9_6
Publikováno v:
Proceedings of the American Mathematical Society. 142:3075-3088
Let ϕ \phi be a morphism of P N \mathbb {P}^N defined over a number field K . K. We prove that there is a bound B B depending only on ϕ \phi such that every twist of ϕ \phi has no more than B B K K -rational preperiodic points. (This result is ana
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::918314132d9948fbbc1aa53f17e814bc
https://doi.org/10.1090/s0002-9939-2014-12086-7
https://doi.org/10.1090/s0002-9939-2014-12086-7
Autor:
Bianca Thompson, Xander Faber
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e6c9a0776c4cbb67ddef3eab767c15a
http://arxiv.org/abs/1601.04938
http://arxiv.org/abs/1601.04938
Autor:
Bianca Thompson, Xander Faber
Publikováno v:
Journal of Number Theory. 169:439-440
We correct an error in the statement and proof of Proposition 1.5. It follows that for any prime p, there exists a cubic rational function over Q ¯ p with Q p -rational critical points that is not equivalent to a function with Q p -rational coeffici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09828b6b7c877f0c4f0b731a3689c603
https://doi.org/10.1016/j.jnt.2016.06.002
https://doi.org/10.1016/j.jnt.2016.06.002
Autor:
Michelle Manes, Bianca Thompson
Publikováno v:
Rocky Mountain J. Math. 49, no. 1 (2019), 171-197
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.
18 pages, 2 figures, 10 tables
18 pages, 2 figures, 10 tables
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0d689d699611373ce4f797dff957a8e
http://arxiv.org/abs/1301.6158
http://arxiv.org/abs/1301.6158