Fractal uncertainty principle for discrete Cantor sets with random alphabets

In this paper, we investigate the fractal uncertainty principle (FUP) for discrete Cantor sets, which are determined by an alphabet from a base of digits. Consider the base of M digits and the alphabets of cardinality A such that all the corresponding Cantor sets have a fixed dimension 0

Keywords:

• Dimension (vector space)
• Cardinality
• Space (mathematics)
• Uncertainty principle
• Base (topology)
• Mathematics
• Concentration of measure
• Combinatorics
• Fractal
• Exponent

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