Non-density of stability for holomorphic mappings on \(\mathbb{P}^k\)
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Publication:1729916
DOI10.5802/jep.57zbMath1406.37041arXiv1610.01785OpenAlexW2760470082MaRDI QIDQ1729916
Publication date: 7 March 2019
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.01785
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)
Related Items (15)
Blenders near polynomial product maps of \(\mathbb{C}^2\) ⋮ Almost blenders and parablenders ⋮ Higher bifurcations for polynomial skew products ⋮ Homoclinic tangencies leading to robust heterodimensional cycles ⋮ Stability and bifurcations in projective holomorphic dynamics ⋮ Robust non-hyperbolic fibred quadratic polynomial dynamics ⋮ Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree ⋮ Geometric methods in holomorphic dynamics ⋮ Hyperbolicity and Bifurcations in holomorphic families of polynomial skew products ⋮ Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$ ⋮ Robust degenerate unfoldings of cycles and tangencies ⋮ Degeneration of quadratic polynomial endomorphisms to a Henon map ⋮ Newhouse phenomenon for automorphisms of low degree in \(\mathbb{C}^3\) ⋮ Lattès maps and the interior of the bifurcation locus ⋮ Dynamics of fibered endomorphisms of CP(k)
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