@article{ASENS_2005_4_38_3_407_0,
author = {Guedj, Vincent},
title = {Courants extr\'emaux et dynamique complexe},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {38},
year = {2005},
pages = {407-426},
doi = {10.1016/j.ansens.2005.02.001},
mrnumber = {2166340},
zbl = {1078.37036},
language = {fr},
url = {http://dml.mathdoc.fr/item/ASENS_2005_4_38_3_407_0}
}
Guedj, Vincent. Courants extrémaux et dynamique complexe. Annales scientifiques de l'École Normale Supérieure, Tome 38 (2005) pp. 407-426. doi : 10.1016/j.ansens.2005.02.001. http://gdmltest.u-ga.fr/item/ASENS_2005_4_38_3_407_0/
[1] , , , Polynomial diffeomorphisms of . IV. The measure of maximal entropy and laminar currents, Invent. Math. 112 (1) (1993) 77-125. | MR 1207478 | Zbl 0792.58034
[2] , , Polynomial diffeomorphisms of . III. Ergodicity, exponents and entropy of the equilibrium measure, Math. Ann. 294 (3) (1992) 395-420. | MR 1188127 | Zbl 0765.58013
[3] , , Polynomial diffeomorphisms of . V. Critical points and Lyapunov exponents, J. Geom. Anal. 8 (3) (1998) 349-383. | MR 1707733 | Zbl 1004.37027
[4] , , , Heights of projective varieties and positive Green forms, J. Amer. Math. Soc. 7 (4) (1994) 903-1027. | MR 1260106 | Zbl 0973.14013
[5] , Dynamique des automorphismes des surfaces K3, Acta Math. 187 (1) (2001) 1-57. | MR 1864630 | Zbl 1045.37007
[6] , , Invariant currents and dynamical Lelong numbers, J. Geom. Anal. 14 (2) (2004) 199-213. | MR 2051683 | Zbl 1080.37050
[7] , Courants positifs extrémaux et conjecture de Hodge, Invent. Math. 69 (3) (1982) 347-374. | MR 679762 | Zbl 0488.58001
[8] , Propagation des singularités des courants positifs fermés, Ark. Mat. 23 (1) (1985) 35-52. | MR 800173 | Zbl 0566.32005
[9] , Complex analytic and differential geometry, Free accessible book, http://www-fourier.ujf-grenoble.fr/~demailly/books.html.
[10] , , Dynamics of bimeromorphic maps of surfaces, Amer. J. Math. 123 (6) (2001) 1135-1169. | MR 1867314 | Zbl 01708599
[11] Dinh T.C., Suites d'applications méromorphes multivaluées et courants laminaires, Prépublication, décembre 2003.
[12] , , Green currents for holomorphic automorphisms of compact Kähler manifolds, math.DS/0311322.
[13] , Laminar currents in , Math. Ann. 325 (4) (2003) 745-765. | MR 1974567 | Zbl 1021.37018
[14] , , Complex Hénon mappings in and Fatou-Bieberbach domains, Duke Math. J. 65 (2) (1992) 345-380. | MR 1150591 | Zbl 0761.32015
[15] , Entropy of polynomial and rational maps, Ann. of Math. (2) 133 (2) (1991) 359-368. | MR 1097242 | Zbl 0737.54006
[16] , , Principles of Algebraic Geometry, Wiley, New York, 1978. | MR 507725 | Zbl 0836.14001
[17] , , Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973) 145-220. | MR 427690 | Zbl 0258.32009
[18] Gromov M., On the entropy of holomorphic maps, Manuscrit, 1977.
[19] , Dynamics of polynomial mappings of , Amer. J. Math. 124 (1) (2002) 75-106. | MR 1879000 | Zbl 01731124
[20] Guedj V., Ergodic properties of rational mappings with large topological degree, Preprint, January 2003, à paraître in Annals of Mathematics. | MR 2179389 | Zbl 1088.37020
[21] , , Dynamics of polynomial automorphisms of , Ark. Mat. 40 (2) (2002) 207-243. | MR 1948064 | Zbl 1034.37025
[22] , , Intrinsic capacities on compact Kähler manifolds, math.CV/0401302.
[23] , Holomorphic chains and their boundaries, in: Several Complex Variables (Proc. Sympos. Pure Math., vol. XXX, Part 1, Williams Coll., Williamstown, Mass., 1975), American Mathematical Society, Providence, RI, 1977, pp. 309-382. | MR 447619 | Zbl 0374.32002
[24] , Subvarieties of homogeneous and almost homogeneous manifolds, in: Contributions to Complex Analysis and Analytic Geometry, Aspects Math., vol. E26, Vieweg, Braunschweig, 1994, pp. 189-232. | MR 1319349 | Zbl 0823.32016
[25] , , Introduction to the Modern Theory of Dynamical Systems, with a supplementary chapter by Katok and Leonardo Mendoza, Encyclopedia of Mathematics and Its Applications, vol. 54, Cambridge University Press, Cambridge, 1995, xviii+802 pp. | MR 1326374 | Zbl 0878.58020
[26] , Intégration sur un ensemble analytique complexe, Bull. Soc. Math. France 85 (1957) 239-262. | Numdam | MR 95967 | Zbl 0079.30901
[27] , Éléments extrémaux sur le cône des courants positifs fermés, in: Séminaire Pierre Lelong (Analyse), Année 1971-1972, Lecture Notes in Math., vol. 332, Springer, Berlin, 1973, pp. 112-131. | MR 412474 | Zbl 0263.58001
[28] , A theorem on holomorphic mappings into complex projective space, Ann. of Math. (2) 71 (1960) 529-535. | MR 117757 | Zbl 0142.04801
[29] , Image inverse d'un courant positif fermé par une application analytique surjective, C. R. Acad. Sci. Paris Sér. I Math. 322 (12) (1996) 1141-1144. | MR 1396655 | Zbl 0858.32012
[30] , , Value distribution for sequences of rational mappings and complex dynamics, Indiana Univ. Math. J. 46 (3) (1997) 897-932. | MR 1488341 | Zbl 0901.58023
[31] , Applications of geometric measure theory to value distribution theory for meromorphic maps, in: Value Distribution Theory (Proc. Tulane Univ. Program, Tulane Univ., New Orleans, La., 1972-1973), Part A, Dekker, New York, 1974, pp. 63-95. | MR 377122 | Zbl 0289.32018
[32] Sibony N., Dynamique des applications rationnelles de , in : Dynamique et Géométrie Complexes, Panorama et Synthèses, 1999. | MR 1760844 | Zbl 1020.37026
[33] , Sous-ensembles analytiques d’ordre fini ou infini dans , Bull. Soc. Math. France 100 (1972) 353-408. | Numdam | MR 352517 | Zbl 0246.32009
[34] , Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36 (1976) 225-255. | MR 433464 | Zbl 0335.57015
[35] , Volume growth and entropy, Israel J. Math. 57 (3) (1987) 285-300. | MR 889979 | Zbl 0641.54036