Green’s function and anti-holomorphic dynamics on a torus

DOI10.1090/proc/13044zbMath1337.31001arXiv1507.01704OpenAlexW3105517131MaRDI QIDQ2802111

Alexandre Eremenko, Walter Bergweiler

Publication date: 25 April 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01704

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Elliptic functions and integrals (33E05)

Related Items (10)

The valence of harmonic polynomials viewed through the probabilistic lens ⋮ Moduli spaces for Lamé functions and Abelian differentials of the second kind ⋮ On the number of solutions of some transcendental equations ⋮ Antiholomorphic perturbations of Weierstrass Zeta functions and Green’s function on tori ⋮ Metrics of constant positive curvature with four conic singularities on the sphere ⋮ Stacking Disorder in Periodic Minimal Surfaces ⋮ On metrics of curvature 1 with four conic singularities on tori and on the sphere ⋮ Parabolic arcs of the multicorns: real-analyticity of Hausdorff dimension, and singularities of \(\mathrm{Per}_n(1)\) curves ⋮ A note on the critical points of the localization landscape ⋮ An orthorhombic deformation family of Schwarz’ H surfaces

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