English, Article edition: FRACTAL DIMENSION, PRIMES, AND THE PERSISTENCE OF MEMORY JOSEPH L. PE

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Physical Description
  • article
Language
  • English

Edition details

Title
  • FRACTAL DIMENSION, PRIMES, AND THE PERSISTENCE OF MEMORY
Author
  • JOSEPH L. PE
Physical Description
  • article
Notes
  • Many sequences from number theory, such as the primes, are defined by recursive procedures, often leading to complex local behavior, but also to graphical similarity on different scales â a property that can be analyzed by fractal dimension. This paper computes sample fractal dimensions from the graphs of some number-theoretic functions. It argues for the usefulness of empirical fractal dimension as a distinguishing characteristic of the graph. Also, it notes a remarkable similarity between two apparently unrelated sequences: the persistence of a number, and the memory of a prime. This similarity is quantified using fractal dimension.
  • Empirical fractal dimension, number-theoretic functions, persistence of a number, memory of a prime, oscillator sequences
  • RePEc:wsi:acsxxx:v:06:y:2003:i:02:p:241-249
Language
  • English
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