Matthieu Astorg

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

Publications

1. Dynamics of skew-products tangent to the identity
   Astorg, M., Boc Thaler, L. pdf. Accepted in Journal of the European Mathematical Society (JEMS)


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


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


4. 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


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


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


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


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


9. 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

1. Cubic Siegel polynomials and the bifurcation measure
   Astorg, M., Cheraghi D., & Chéritat A. pdf


2. Bifurcations for families of Ahlfors island maps
   Astorg, M., Benini A.M, & Fagella N. pdf


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


4. 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