Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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Hausdorff dimensions and multifractal spectra for power means of Schneider map coefficients on pZ_p are computed explicitly with polylogarithm formulas using thermodynamic formalism.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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Multifractal analysis of power means for the Schneider map on $p\mathbb{Z}_p$
Hausdorff dimensions and multifractal spectra for power means of Schneider map coefficients on pZ_p are computed explicitly with polylogarithm formulas using thermodynamic formalism.