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math.MG2020
Dimensions of the popcorn graph
Haipeng Chen, Jonathan M. Fraser, Han Yu
The 'popcorn function' isThe `popcorn function' is a well-known and important example in real analysis with many interesting features. We prove that the box dimension of the graph…
math.NT2020
On Hölder maps and prime gaps
Haipeng Chen, Jonathan M. Fraser
Let denote the th prime, and consider the function which maps the reciprocals of the positive integers bijectively to the reciprocals of the primes. We…