Geodesic
Packing spectra for Bernoulli measures supported on Bedford–McMullen carpets
Thomas Jordan1 ; Michał Rams2
1 School of Mathematics University of Bristol University Walk Bristol, BS8 1TW, UK
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
Fundamenta Mathematicae, Tome 229 (2015) no. 2, pp. 171-196.

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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.
DOI : 10.4064/fm229-2-5
Keywords: consider packing spectra local dimension bernoulli measures supported bedford mcmullen carpets typically packing dimension regular set smaller packing dimension attractor consider specific class measures which able calculate packing spectrum exactly packing spectrum discontinuous function space bernoulli measures

Thomas Jordan 1 ; Michał Rams 2

1 School of Mathematics University of Bristol University Walk Bristol, BS8 1TW, UK
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland 
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Thomas Jordan; Michał Rams. Packing spectra for Bernoulli measures supported on Bedford–McMullen carpets. Fundamenta Mathematicae, Tome 229 (2015) no. 2, pp. 171-196. doi : 10.4064/fm229-2-5. http://geodesic.mathdoc.fr/articles/10.4064/fm229-2-5/

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