TY - JOUR
AU - Anttila, Roope
PY - 2020/11/04
Y2 - 2024/07/22
TI - Local Entropy and Lq-Dimensions of Measures in Doubling Metric Spaces
JF - The PUMP Journal of Undergraduate Research
JA - PUMP J. Undergrad. Res.
VL - 3
IS - 0
SE - Articles
DO - 10.46787/pump.v3i0.2434
UR - https://journals.calstate.edu/pump/article/view/2434
SP - 226-243
AB - <p>We define restricted entropy and <em>L<sup>q</sup></em>-dimensions of measures in doubling metric spaces and show that these definitions are consistent with the monotonicity of <em>L<sup>q</sup></em>-dimensions. This provides a correct proof for a theorem considering the relationships between local entropy and <em>L<sup>q</sup></em>-dimensions in a paper by Käenmäki, Rajala and Suomala, the original proof of which makes use of a slightly erroneous proposition.</p>
ER -