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math.MG2026
The Assouad spectrum and dimension of typical graphs
Tianyi Feng, Jonathan Fraser
We investigate the Assouad spectrum and dimension of graphs of functions lying in certain Banach spaces. We find the typical values in the sense of Baire category, proving that the…
math.MG2024
Critical exponents and dimension for generalised limit sets
Tianyi Feng, Jonathan M. Fraser
There is a beautiful and well-studied relationship between the Poincare exponent and the fractal dimensions of the limit set of a Kleinian group. Motivated by this, given an arbitr…