Matthieu Astorg

Keywords: Parabolic implosion, bifurcations, wandering domains, quasiconformal analysis, potential theory

Publications

- Hyperbolicity and bifurcations in holomorphic families of polynomial skew-products - Astorg, M. & Bianchi, F. pdf. Amer. J. Math. 145 (2023), no. 3, 861–898

- Higher bifurcations for polynomial skew-products - Astorg, M., & Bianchi, F. Journal of Modern Dynamics, vol. 18, n.3 pdf

- Wandering domains arising from Lavaurs maps with Siegel disks - Astorg, M., Boc Thaler, L., & Peters, H. Anal. PDE 16 (2023), no. 1, 35–88. pdf

- Summability condition and rigidity for finite type maps - Astorg, M. Annali Scuola Normale Superiore-Classe di Scienze 2022, p. 399-423. pdf

- Collet, Eckmann and the bifurcation measure - Astorg, M., Gauthier, T., Mihalache, N., & Vigny, G. Inventiones mathematicae, 217(3), 749-797. pdf

- Dynamics of post-critically finite maps in higher dimension - Astorg, M. Ergodic Theory and Dynamical Systems, 1-20. pdf

- The Teichmüller space of a rational map immerses into moduli space - Astorg, M. Advances in Mathematics, 313, 991-1023. pdf

- A two-dimensional polynomial mapping with a wandering Fatou component - Astorg, M., Buff, X., Dujardin, R., Peters, H., & Raissy, J. Annals of mathematics, 263-313 arXiv

Preprints

- Horn map of a semi-dissipative Hénon map - Astorg, M., Bianchi, F. pdf

- Dynamics of skew-products tangent to the identity - Astorg, M., Boc Thaler, L. pdf

- Bifurcation loci of families of finite type meromorphic maps - Astorg, M., Benini A.M, & Fagella N. pdf

Other

- HDR manuscript Bifurcations and wandering domains in holomorphic dynamics