Holomorpic Dynamics and Orthogonal Polynomials

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

Projekter: ProjektForskning

Projektdetaljer

Beskrivelse

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.

Nøgleresultater

Vi har etableret et "missing" link mellem teorien for orthogonale polynomier og holomorf dynamik.
StatusAfsluttet
Effektiv start/slut dato01/11/201531/10/2018

Publikationer

  • 4 Tidsskriftartikel
  • 2 Andet bidrag

Conformal equivalence of measures and dynamics of orthogonal polynomials

Bidragets oversatte titel: Konform invarians af mål og dynamik af orthogonale polynomierJensen, S. E. & Petersen, C. L., 2019, I : Journal of Difference Equations and Applications. 25, 8, s. 1063-1081 19 s.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Julia Sets of Orthogonal Polynomials

Bidragets oversatte titel: Juliamængder for orthogonale polynomierChristiansen, J. S., Henriksen, C., Petersen, H. L. & Petersen, C. L., 2019, I : Potential Analysis. 50, s. 401-413 13 s.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Åben adgang
Fil

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

Bidragets oversatte titel: Om kombinatoriske typer af periodiske baner of afbildningen x -> kx mod Z for k>1Petersen, C. L. & Zakeri, S., 6 dec. 2019, (Accepteret/In press) 38 s.

Publikation: AndetAndet bidragForskning

Weak limits of the measures of maximal entropy for Orthogonal polynomials

Bidragets oversatte titel: Om svage grænser af målene med maksimal entropi for orthogonale polynomierPetersen, C. L. & Uhre, E., 26 dec. 2019, (Accepteret/In press) 8 s.

Publikation: AndetAndet bidragForskning