Projet Fatou
«Nouveaux points de vue en dynamique rationnelle à plusieurs variables»

Publications reliées au projet Fatou, par ordre anti-chronologique (date de la première version sur arXiv) :

• Junyi Xie, Continuous functions on Berkovich spaces, preprint. arXiv:2011.12078.
• Thomas Gauthier & Gabriel Vigny, The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane, preprint. arXiv:2010.16291.
• Nicolina Istrati & Alexandra Otiman & Massimiliano Pontecorvo & Matteo Ruggiero, Toric Kato manifolds, preprint. arXiv:2010.14854.
• Julie Déserti, The embeddings of the Heisenberg group into the Cremona group, à paraître dans Glasg. Math. J. arXiv:2009.09095.
• Serge Cantat & Julie Déserti & Junyi Xie, Three chapters on Cremona groups, preprint. arXiv:2007.13841.
• Matthieu Astorg & Fabrizio Bianchi, Higher bifurcations for polynomial skew-products, preprint. arXiv:2007.00770.
• Serge Cantat & Junyi Xie, Birational conjugacies between endomorphisms on the projective plane, preprint. arXiv:2006.00051.
• Jia Jia & Junyi Xie & De-Qi Zhang, Surjective endomorphisms of projective surfaces -- the existence of infinitely many dense orbits, preprint. arXiv:2005.03628.
• Charles Favre & Thomas Gauthier, The arithmetic of polynomial dynamical pairs, preprint. arXiv:2004.13801.
• Henry De Thélin & Thomas Gauthier & Gabriel Vigny, Parametric Lyapunov exponents, preprint. arXiv:2003.14355.
• Julie Déserti, On regularizable birational maps, preprint. arXiv:2002.02658.
• Thomas Gauthier & Gabriel Vigny, The geometric Dynamical Northcott and Bogomolov properties, preprint. arXiv:1912.07907.
• Matthieu Astorg & Luka Boc Thaler & Han Peters, Wandering domains arising from Lavaurs maps with a Siegel disk, preprint. arXiv:1907.04140.
• Junyi Xie, The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker), preprint. arXiv:1905.07021.
• Julie Déserti, The Cremona group and its subgroups, à paraître dans Mathematical Surveys and Monographs, American Mathematical Society. arXiv:1902.03262.
• Christophe Dupont & Johan Taflin, Dynamics of fibered endomorphisms of P^k, à paraître dans Ann. Scuola Normale Sup. Pisa. arXiv:1811.06909.
• Thomas Gauthier, Dynamical pairs with an absolutely continuous bifurcation measure, preprint. arXiv:1810.02385.
• Serge Cantat & Ziyang Gao & Philipp Habegger & Junyi Xie, The geometric Bogomolov Conjecture, Duke Math. Journal 170, no. 2, 247–277, 2021. arXiv:1809.00848.
• Henry De Thélin & Gabriel Vigny, Entropy of meromorphic maps acting on analytic sets, à paraître dans Indiana University Math Journal. arXiv:1807.06483.
• Henry De Thélin & Thomas Gauthier & Gabriel Vigny, The bifurcation measure has maximal entropy, Israël Journal of Math 235, p. 213--243, 2020. arXiv:1805.11508.
• Dragos Ghioca & Junyi Xie, Algebraic Dynamics of skew-linear self-maps, Proceedings of the AMS 218(10), p. 4369--4387, 2018. arXiv:1803.03931.
• Dragos Ghioca & Junyi Xie, The Dynamical Mordell-Lang Conjecture for skew-linear self-maps (with an appendix by Michael Wibmer), International Mathematics Research Notices, no. 21, 7433–7453, 2020. arXiv:1803.03871.
• Evelia García Barroso & Pedro González Pérez & Patrick Popescu-Pampu & Matteo Ruggiero, Ultrametric properties for valuation spaces of normal surface singularities, Transactions of the AMS, Volume 372, Issue 12, pp. 8423-8475, 2019. arXiv:1802.01165.