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math.PR2026
On perturbations that preserve the connectivity properties in tree percolations
Mirmukhsin Makhmudov, Ville Suomala
We consider a general bond percolation on an infinite locally finite tree, where the edge retention probabilities are replaced by , where $\{q_n\}_{n\ge…
math.PR2026
Fourier dimension of Mandelbrot cascades on planar curves
Donggeun Ryou, Ville Suomala
We consider multifractal Mandelbrot cascades supported on planar curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal…