Conformal trace theorem for Julia sets of quadratic polynomials

DOI10.1017/etds.2017.124zbMath1425.37032OpenAlexW2774744660WikidataQ120833498 ScholiaQ120833498MaRDI QIDQ5227740

Dmitriy Zanin, Edward McDonald, Pheodor A. Sukochev, Alain Connes

Publication date: 7 August 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2017.124

zbMATH Keywords

Julia setHausdorff dimensionMandelbrot setDixmier tracesJordan curvesingular tracesconformal trace formula

Mathematics Subject Classification ID

Related Items (8)

Connes' integration and Weyl's laws ⋮ Geometry of Banach limits and their applications ⋮ Advances in Dixmier traces and applications ⋮ Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature ⋮ Quantum differentiability on quantum tori ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Estimating Dixmier traces of Hankel operators in Lorentz ideals ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

Cites Work

• Singular traces. Theory and applications
• Analytic Besov spaces
• Banach limits and traces on \(\mathcal{L}_{1, \infty}\)
• Complex dynamics
• Trace theorem for quasi-Fuchsian groups
• Measures and dimensions in conformal dynamics
• Dynamics in One Complex Variable. (AM-160)
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