Publications

- B. Deroin, C. Dupont, V. Kleptsyn, The dimension of harmonic currents on foliated complex surfaces

arXiv, march 2025

- S. Cantat, C. Dupont, F. Martin-Baillon, Dynamics on Markov surfaces: classification of stationary measures

arXiv 2404.01721

- C. Dupont, V. Tapiero, On slice measures of Green currents on CP(2)

to appear in Proc. of the Simons Symposia on Algebraic, Complex and Arithmetic Dynamics (arXiv 2310.16425)

- B. Deroin, C. Dupont, V. Kleptsyn, Convexity of complements of limit sets for holomorphic foliations on surfaces

Math. Ann., 388 (2024), 2727-2753 (arXiv 2202.01007)

- C. Dupont, J. Taflin, Dynamics of fibered endomorphisms of CP(k)

Ann. Sc. Norm. Super. Pisa Cl. Sci., 22 (2021), 53-78 (.pdf)

- C. Dupont, A. Rogue, On the regularity of the Green current for semi-extremal endomorphisms of CP(2)

Discrete Contin. Dyn. Syst. (A), 40 (12), (2020), 6767-6781 (.pdf)

- S. Cantat, C. Dupont, Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy

J. Eur. Math. Soc., 22 (2020), 1289-1351 (.pdf)

- C. Dupont, A. Rogue, Dimension of ergodic measures and currents on CP(2)

Ergodic Theory Dynamical Systems, 40 (2020) 2131-2155 (.pdf)

- F. Berteloot, C. Dupont, A Distortion Theorem for iterated inverse branches of holomorphic endomorphism of CP(k)

J. London Math. Soc., 99 (2019) 153-172 (.pdf)

- F. Berteloot, F. Bianchi, C. Dupont,  Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k)

Ann. Sci. Ec. Norm. Supér., 51 (2018), 215-262 (.pdf)

- B. Deroin, C. Dupont, Topology and dynamics of laminations in surfaces of general type

J. Amer. Math. Soc., 29 (2016), 433-469 (.pdf)

- C. Dupont, Large entropy measures for endomorphisms of CP(k)

Israel J. Math., 192 (2012), 505-533 (.pdf)

- C. Dupont, On the dimension of invariant measures of endomorphisms of CP(k)

Math. Ann., 349 (2011), no 3, 509-528 (.pdf)

- C. Dupont, Bernoulli coding map and almost-sure invariance principle for endomorphisms of CP(k)

Probab. Theory Related Fields, 146 (2010), no. 3-4, 337-359 (.pdf)

- F. Berteloot, C. Dupont, L. Molino, Normalization of bundle holomorphic contractions and applications to dynamics

Ann. Inst. Fourier, 58 (2008), 2137--2168 (.pdf)

- C. Dupont, Formule de Pesin et applications méromorphes

Bull. Braz. Math. Soc., 37 (2006), no. 3, 393-418. (.pdf)

- F. Berteloot, C. Dupont, Une caractérisation des exemples de Lattès par leur mesure de Green

Comment. Math. Helv., 80 (2005). (.pdf)

- T.-C. Dinh, C. Dupont, Dimension de la mesure d'équilibre d'applications méromorphes

J. Geom. Anal., 14 (2004), no. 4, 613-627. (.pdf)

- C. Dupont, Exemples de Lattès et domaines faiblement sphériques de Cn

Manuscripta Math., 111 (2003), no. 3, 357-378. (.pdf) 

Habilitation et Thèse   

- Aspects géométriques et stochastiques en dynamique holomorphe sur CP(k) (2010) (fichier .pdf)

- Propriétés extrémales et caractéristiques des exemples de Lattès (2002) (fichier .pdf)