Holomorpic Dynamics and Orthogonal Polynomials

  • Petersen, Carsten Lunde (Anden)
  • Petersen, Henrik Laurberg (Project participant)
  • Henriksen, Christian (Project participant)
  • Christiansen, Jacob Stordahl (Project participant)

Project: Research

Project Details

Description

DFF-Forskningsprojekt 1 :
Holomorphic dynamics and orthogonal polynomials are active fields of research in
pure mathematics. The objective of the proposed research is to strengthen these
fields through the investigation of concrete projects. Our fields of research share
complex analysis as a common base. They yet enjoy only few connecting results,
nevertheless they posses striking similarities which call for attention. One of our
main research projects aims at understanding similarities and differences between
the fields. Ultimately we envision a dictionary between the two fields, inspired by
Sullivans dictionary between holomorphic dynamics and Kleinian groups. This
project, which requires the research expertise of all the group members, is
expected to cross-fertilize our fields by moving results and techniques between
them.

Key findings

Vi har etableret et "missing" link mellem teorien for orthogonale polynomier og holomorf dynamik.
StatusFinished
Effective start/end date01/11/201531/10/2018

Research Output

  • 4 Journal article
  • 2 Other contribution

Conformal equivalence of measures and dynamics of orthogonal polynomials

Jensen, S. E. & Petersen, C. L., 2019, In : Journal of Difference Equations and Applications. 25, 8, p. 1063-1081 19 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Julia Sets of Orthogonal Polynomials

Christiansen, J. S., Henriksen, C., Petersen, H. L. & Petersen, C. L., 2019, In : Potential Analysis. 50, p. 401-413 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

On Combinatorial Types of Periodic Orbits of the Map $x mapsto kx$ (mod $mathbb Z$)

Petersen, C. L. & Zakeri, S., 6 Dec 2019, (Accepted/In press) 38 p.

Research output: Other contributionResearch

Weak limits of the measures of maximal entropy for Orthogonal polynomials

Petersen, C. L. & Uhre, E., 26 Dec 2019, (Accepted/In press) 8 p.

Research output: Other contributionResearch