Large intersection classes on fractals

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

Abstract in Undetermined
We consider limit sets of conformal iterated function systems, and introduce classes of subsets of these limit sets, with the property that the classes are closed under countable intersections and that all sets in the classes have a large Hausdorff dimension. Using these classes we determine the Hausdorff dimension and large intersection properties of some sets occurring in ergodic theory, Diophantine approximation and complex dynamics.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • External Organization - Unknown
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
Originalspråkengelska
Sidor (från-till)1291-1309
TidskriftNonlinearity
Volym24
Utgåva nummer4
StatusPublished - 2011
PublikationskategoriForskning
Peer review utfördJa