Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Hutz, Benjamin"'
We give an algebraic proof of an important consequence of Thurston rigidity for bicritical PCF polynomials with periodic critical points under certain mild assumptions. The key result is that when the family of bicritical polynomials is parametrized
Externí odkaz:
http://arxiv.org/abs/2212.02558
Let $f$ be an endomorphism of the projective line. There is a natural conjugation action on the space of such morphisms by elements of the projective linear group. The group of automorphisms, or stabilizer group, of a given $f$ for this action is kno
Externí odkaz:
http://arxiv.org/abs/2007.15483
For any algebraically closed field $K$ and any endomorphism $f$ of $\mathbb{P}^1(K)$ of degree at least 2, the automorphisms of $f$ are the M\"obius transformations that commute with $f$, and these form a finite subgroup of $\operatorname{PGL}_2(K)$.
Externí odkaz:
http://arxiv.org/abs/2003.12113
Publikováno v:
Involve 16 (2023) 605-620
When studying families in the moduli space of dynamical systems, choosing an appropriate representative function for a conjugacy class can be a delicate task. The most delicate questions surround rationality of the conjugacy class compared to rationa
Externí odkaz:
http://arxiv.org/abs/2001.06164
Autor:
Hutz, Benjamin
There is a natural conjugation action on the set of endomorphism of $\P^N$ of fixed degree $d \geq 2$. The quotient by this action forms the moduli of degree $d$ endomorphisms of $\P^N$, denoted $\mathcal{M}_d^N$. We construct invariant functions on
Externí odkaz:
http://arxiv.org/abs/1908.03184
Autor:
Hutz, Benjamin, Stoll, Michael
Publikováno v:
Acta Arith. 189, 283-308 (2019)
We develop an algorithm that determines, for a given squarefree binary form $F$ with real coefficients, a smallest representative of its orbit under $\operatorname{SL}(2,\mathbb Z)$, either with respect to the Euclidean norm or with respect to the ma
Externí odkaz:
http://arxiv.org/abs/1805.08579
Autor:
Hutz, Benjamin, Patel, Teerth
Publikováno v:
Involve 15 (2022) 185-206
Explicit formulas are obtained for the number of periodic points and maximum tail length of split polynomial maps over finite fields for affine and projective space. This work includes a detailed analysis of the structure of the directed graph for Ch
Externí odkaz:
http://arxiv.org/abs/1710.07821
Publikováno v:
Research in Number Theory, 2017, 3:29
We give a complete description of the arboreal Galois representation of a certain postcritically finite cubic polynomial over a large class of number fields and for a large class of basepoints. This is the first such example that is not conjugate to
Externí odkaz:
http://arxiv.org/abs/1612.03358
Autor:
HUTZ, Benjamin
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2020 Jan 01. 32(2), 439-469.
Externí odkaz:
https://www.jstor.org/stable/26940136