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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.DS2026
Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts
Farhod Haydarov, Shirali Kadyrov, Mirmukhsin Makhmudov +1
We establish effective intrinsic ergodicity for renewal-type potentials on one-sided \(S\)-gap shifts. Inducing on the one-symbol cylinder \([1]\) reduces the system to a full shif…