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most citedMonotonicity of dynamical degrees for H{é}non-like and polynomial-like maps

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math.NT2026

Exact logarithmic Hausdorff and capacity exponents of the non-Brjuno set

Sardor Bazarbaev, Karim Rakhimov

Let be the set of non-Brjuno real numbers. We determine the exact critical exponent of for both logarithmic Hausdorff measure and logarithmic capacity.…