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math.DS2025
The dimension spectrum of the infinitely generated Apollonian gasket
Vasileios Chousionis, Dmitriy Leykekhman, Mariusz Urbański +1
We prove that the infinitely generated Apollonian gasket has full Hausdorff dimension spectrum. Our proof, which is computer assisted, relies on an iterative technique introduced b…
math.CA2025
Singular integrals on intrinsic graphs in step 2 Carnot groups
Vasileios Chousionis, Sean Li, Lingxiao Zhang
We study singular integral operators induced by Calderón-Zygmund kernels in any step- Carnot group . We show that if such an operator satisfies some natural cancella…