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math.CA2023★ 2 cited
Interpolating with generalized Assouad dimensions
Amlan Banaji, Alex Rutar, Sascha Troscheit
The -Assouad dimensions are a family of dimensions which interpolate between the upper box and Assouad dimensions. They are a generalization of the well-studied Assouad spectrum…
math.FA2023
Stability relations for Hilbert space operators and a problem of Kaplansky
Laurent W. Marcoux, Heydar Radjavi, Sascha Troscheit +1
In his monograph on Infinite Abelian Groups, I. Kaplansky raised three ``test problems" concerning their structure and multiplicity. As noted by Azoff, these problems make sense fo…