2 citations · 4 across the 5 of their papers we have counts for
5 papers
Attainable forms of lower spectra
Amlan Banaji, Haipeng Chen, Alex Rutar +1
Let and . We prove there exists a set whose lower spectrum satisfies $(1-θ)\oper…
Dimensions of popcorn-like pyramid sets
Amlan Banaji, Haipeng Chen
This article concerns the dimension theory of the graphs of a family of functions which include the well-known 'popcorn function' and its pyramid-like higher-dimensional analogues.…
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…
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…
Lower Assouad type dimensions of uniformly perfect sets in doubling metric spaces
Haipeng Chen, Min Wu, Yuanyang Chang
In this paper, we are concerned with the relationship among the lower Assouad type dimensions. For uniformly perfect sets in doubling metric spaces, we obtain a variational result…