17 citations · 77 across the 17 of their papers we have counts for
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math.MG2022★ 2 cited
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.…
math.MG2022
Metric Spaces where Geodesics are Never Unique
Amlan Banaji
This article concerns a class of metric spaces, which we call multigeodesic spaces, where between any two distinct points there exist multiple distinct minimising geodesics. We pro…
math.DS2022★ 3 cited
Assouad type dimensions of infinitely generated self-conformal sets
Amlan Banaji, Jonathan M. Fraser
We study the dimension theory of limit sets of iterated function systems consisting of a countably infinite number of conformal contractions. Our focus is on the Assouad type dimen…