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cond-mat.dis-nn2022★ 4 cited
Low-Dimensional Life of Critical Anderson Electron
Ivan Horváth, Peter Markoš
We show that critical Anderson electron in 3 dimensions is present in its spatial effective support, which was recently determined to be a region of fractal dimension $\approx \! 8…
hep-lat2022★ 6 cited
Counting-Based Effective Dimension and Discrete Regularizations
Ivan Horváth, Peter Markoš, Robert Mendris
Fractal-like structures of varying complexity are common in nature, and measure-based dimensions (Minkowski, Hausdorff) supply their basic geometric characterization. However, at t…