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Please, can someone give (as simple as possible) example of the set for which modified lower box counting dimension is strictly smaller than Hausdorff dimension?

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    $\begingroup$ What's modified lower box counting dimension? $\endgroup$
    – Nikita Sidorov
    Commented Jan 12, 2019 at 3:25
  • $\begingroup$ I have found the solution: Claude Tricot: Two definitions of fractional dimension, Mathematical Proceedings of the Cambridge Philosophical Society / Volume 91 / Issue 01 / January 1982, pp, 57-74, DOI: 10.1017/S0305004100059119. It is given by example 2 on page 67. $\endgroup$
    – Dopax
    Commented Jan 16, 2019 at 20:54
  • $\begingroup$ This dimension is also called lower packing dimension $\endgroup$
    – Dopax
    Commented Jan 16, 2019 at 20:55

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