Výsledky vyhledávání - "Carsten Lunde Petersen"

Autor: Carsten Lunde Petersen, Saeed Zakeri

Publikováno v: Conformal Geometry and Dynamics of the American Mathematical Society. 25:170-178

Let $P: {\mathbb C} \to {\mathbb C}$ be a polynomial map with disconnected filled Julia set $K_P$ and let $z_0$ be a repelling or parabolic periodic point of $P$. We show that if the connected component of $K_P$ containing $z_0$ is non-degenerate, th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ead08ae7b97aa1b3d58b6214f87e013
https://doi.org/10.1090/ecgd/364

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Filled Julia Sets of Chebyshev Polynomials

Autor: Carsten Lunde Petersen, Christian Henriksen, Jacob S. Christiansen, Henrik L. Pedersen

Publikováno v: Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2021, ' Filled Julia Sets of Chebyshev Polynomials ', Journal of Geometric Analysis . https://doi.org/10.1007/s12220-021-00716-y
Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2021, ' Filled Julia Sets of Chebyshev Polynomials ', Journal of Geometric Analysis, vol. 31, pp. 12250–12263 . https://doi.org/10.1007/s12220-021-00716-y

We study the possible Hausdorff limits of the Julia sets and filled Julia sets of subsequences of the sequence of dual Chebyshev polynomials of a non-polar compact set K in C and compare such limits to K. Moreover, we prove that the measures of maxim

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https://orbit.dtu.dk/en/publications/6bdd8849-0965-494a-bd6f-fc527d8e4baf

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On combinatorial types of periodic orbits of the map x↦kx (mod Z)

Autor: Saeed Zakeri, Carsten Lunde Petersen

Publikováno v: Advances in Mathematics. 361:106953

We study the combinatorial types of periodic orbits of the standard covering endomorphisms m k ( x ) = k x ( mod Z ) of the circle for integers k ≥ 2 and the frequency with which they occur. For any q-cycle σ in the permutation group S q , we give

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https://doi.org/10.1016/j.aim.2019.106953

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Conformal Equivalence of Measures and Dynamics of Orthogonal Polynomials

Autor: Signe Emalia Jensen, Carsten Lunde Petersen

We introduce a notion of asymptotically orthonormal polynomials for a Borel measure $\mu$ with compact nonpolar support in $\mathbb{C}$. Such sequences of polynomials have similar convergence properties of the sequences of Julia sets and filled Julia

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::928eb3fb37a5d0ab5f757b77cddd015a
http://arxiv.org/abs/1811.08865

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Julia Sets of Orthogonal Polynomials

Autor: Henrik L. Pedersen, Christian Henriksen, Jacob S. Christiansen, Carsten Lunde Petersen

Publikováno v: Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2018, ' Julia Sets of Orthogonal Polynomials ', Potential Analysis, vol. 50, no. 3, pp. 401-413 . https://doi.org/10.1007/s11118-018-9687-5
Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2019, ' Julia Sets of Orthogonal Polynomials ', Potential Analysis, vol. 50, no. 3, pp. 401-413 . https://doi.org/10.1007/s11118-018-9687-5

For a probability measure with compact and non-polar support in the complex plane we relate dynamical properties of the associated sequence of orthogonal polynomials $\{P_n\}$ to properties of the support. More precisely we relate the Julia set of $P

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::059a8cb89bd4ff761c730d65423455b2
https://orbit.dtu.dk/en/publications/4005465a-25c4-4087-8622-9015c24706f4

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Weak limits of the measures of maximal entropy for Orthogonal polynomials

Autor: Eva Uhre, Carsten Lunde Petersen

In this paper we study the sequence of orthonormal polynomials $\{P_n(\mu; z)\}$ defined by a probability measure $\mu$ with non-polar compact support $S(\mu)\subset\mathbb C$. We show that the support of any weak* limit of the sequence of measures o

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On parabolic external maps

Autor: Weixiao Shen, Luna Lomonaco, Carsten Lunde Petersen

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

We prove that any \begin{document}$C^{1+\text{BV}}$\end{document} degree d ≥ 2 circle covering \begin{document}$h$\end{document} having all periodic orbits weakly expanding, is conjugate by a \begin{document}$C^{1+\text{BV}}$\end{document} diffeomo

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