Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets

• Autorzy: Thomas Jordan , Michał Rams
• Języki publikacji: EN

Abstrakty

EN

We consider the packing spectra for the local dimension of Bernoulli measures supported on Bedford-McMullen carpets. We show that typically the packing dimension of the regular set is smaller than the packing dimension of the attractor. We also consider a specific class of measures for which we are able to calculate the packing spectrum exactly, and we show that the packing spectrum is discontinuous as a function on the space of Bernoulli measures.

Kategorie tematyczne

• 37C45: Dimension theory of dynamical systems
• 28A78: Hausdorff and packing measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 229
• Numer: 2
• Strony: 171-196

Daty

wydano

2015

Twórcy

autor

Thomas Jordan

• School of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK

autor

Michał Rams

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm229-2-5