Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Solomon Vishkautsan"'
Publikováno v:
Communications in Algebra. 51:1355-1369
Autor:
Solomon Vishkautsan
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 31:49-79
Autor:
Solomon Vishkautsan, Adam Chapman
We study the discrete dynamics of standard (or left) polynomials $f(x)$ over division rings $D$. We define their fixed points to be the points $\lambda \in D$ for which $f^{\circ n}(\lambda)=\lambda$ for any $n \in \mathbb{N}$, where $f^{\circ n}(x)$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ebe7d19382ea2f8b22c026243cbd565
http://arxiv.org/abs/2009.09793
http://arxiv.org/abs/2009.09793
Autor:
Solomon Vishkautsan, Jung Kyu Canci
Publikováno v:
Transactions of the American Mathematical Society. 371:335-356
We provide an explicit bound on the number of periodic points of a rational function defined over a number field, where the bound depends only on the number of primes of bad reduction and the degree of the function, and is linear in the degree. More
Let $\phi$ be a an endomorphism of degree $d\geq{2}$ of the projective line, defined over a number field $K$. Let $S$ be a finite set of places of $K$, including the archimedean places, such that $\phi$ has good reduction outside of $S$. The article
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1f5d1a75ed10607a453d6f0f9da6366
http://arxiv.org/abs/1711.04649
http://arxiv.org/abs/1711.04649
Autor:
Solomon Vishkautsan
A case study of arithmetic dynamics over the rationals on the Markoff surface is presented, in particular the local-global dynamical property of strong residual periodicity. The dynamical system induced by the composition of any two of the reflection
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e02af40a9f00bc4260d2b73dc09807a3
http://arxiv.org/abs/1504.07099
http://arxiv.org/abs/1504.07099
Autor:
Solomon Vishkautsan, Jung Kyu Canci
We provide a complete classification of possible graphs of rational preperiodic points of endomorphisms of the projective line of degree 2 defined over the rationals with a rational periodic critical point of period 2, under the assumption that these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60543bc129ecabc8a0a9c46885394033