@article{ASENS_2004_4_37_6_959_0, author = {Dinh, Tien-Cuong and Sibony, Nessim}, title = {Regularization of currents and entropy}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {959--971}, publisher = {Elsevier}, volume = {Ser. 4, 37}, number = {6}, year = {2004}, doi = {10.1016/j.ansens.2004.09.002}, mrnumber = {2119243}, zbl = {1074.53058}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.ansens.2004.09.002/} }
TY - JOUR AU - Dinh, Tien-Cuong AU - Sibony, Nessim TI - Regularization of currents and entropy JO - Annales scientifiques de l'École Normale Supérieure PY - 2004 SP - 959 EP - 971 VL - 37 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.ansens.2004.09.002/ DO - 10.1016/j.ansens.2004.09.002 LA - en ID - ASENS_2004_4_37_6_959_0 ER -
%0 Journal Article %A Dinh, Tien-Cuong %A Sibony, Nessim %T Regularization of currents and entropy %J Annales scientifiques de l'École Normale Supérieure %D 2004 %P 959-971 %V 37 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.ansens.2004.09.002/ %R 10.1016/j.ansens.2004.09.002 %G en %F ASENS_2004_4_37_6_959_0
Dinh, Tien-Cuong; Sibony, Nessim. Regularization of currents and entropy. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 37 (2004) no. 6, pp. 959-971. doi : 10.1016/j.ansens.2004.09.002. http://archive.numdam.org/articles/10.1016/j.ansens.2004.09.002/
[1] Plurisubharmonic currents and their extension across analytic subsets, Forum Math. 5 (6) (1993) 577-602. | EuDML | MR | Zbl
, ,[2] A cut-off theorem for plurisubharmonic currents, Forum Math. 6 (5) (1994) 567-595. | EuDML | MR | Zbl
,[3] The equation on a positive current, Invent. Math. 147 (2002) 371-428. | MR | Zbl
, ,[4] Sur les variétés analytiques complexes, Ann. Sci. Éc. Norm. Sup. (3) 73 (1956) 157-202. | EuDML | Numdam | MR | Zbl
,[5] Topological entropy for noncompact sets, Trans. Amer. Math. Soc. 184 (1973) 125-136. | MR | Zbl
,[6] Monge-Ampère operators, Lelong numbers and intersection theory, in: , (Eds.), Complex Analysis and Geometry, Plenum Press, 1993, pp. 115-193. | MR | Zbl
,[7] Pseudoconvex-concave duality and regularization of currents, in: Several Complex Variables (Berkeley, CA, 1995-1996), Math. Sci. Res. Inst. Publ., vol. 37, Cambridge Univ. Press, Cambridge, 1999, pp. 233-271. | MR | Zbl
,[8] Dinh T.C., Distribution des préimages et des points périodiques d'une correspondance polynomiale, Bull. Soc. Math. France, in press. | EuDML | Numdam | Zbl
[9] Polynomial hull and positive currents, Ann. Fac. Sci. Toulouse XII (3) (2003) 317-334. | EuDML | Numdam | MR | Zbl
, ,[10] Dinh T.C., Sibony N., Une borne supérieure pour l'entropie topologique d'une application rationnelle, Ann. of Math., in press. | Zbl
[11] Distribution des valeurs de transformations méromorphes et applications, preprint, 2003, math.DS/0306095. | MR
, ,[12] Dinh T.C., Sibony N., Green currents for automorphisms of compact Kähler manifolds, JAMS, in press.
[13] Polynomial convexity, rational convexity, and currents, Duke Math. J. 79 (2) (1995) 487-513. | MR | Zbl
, ,[14] Harmonic currents with finite energy, preprint, 2004, math.CV/0402432.
, ,[15] Entropy of polynomial and rational maps, Ann. of Math. 133 (1991) 359-368. | MR | Zbl
,[16] On the entropy of holomorphic maps, in: Séminaire Bourbaki, vol. 1985/86, Astérique, vols. 145-146, Soc. Math. France, 1987, pp. 225-240. | Numdam | MR | Zbl
,[17] On the entropy of holomorphic maps, Enseign. Math. 49 (2003) 217-235, Manuscript (1977). | MR | Zbl
,[18] Fonctions plurisousharmoniques et formes différentielles positives, Dunod, Paris, 1968. | MR | Zbl
,[19] Image inverse d'un courant positif fermé par une application surjective, CRAS 322 (1996) 1141-1144. | MR | Zbl
,[20] Dynamique des applications rationnelles de , Panoramas et Synthèses 8 (1999) 97-185. | MR | Zbl
,[21] Quelques problèmes de prolongement de courants en analyse complexe, Duke Math. J. 52 (1) (1985) 157-197. | MR | Zbl
,[22] Prolongement des courants positifs, fermés de masse finie, Invent. Math. 66 (1982) 361-376. | MR | Zbl
,[23] Volume growth and entropy, Israel J. Math. 57 (1987) 285-300. | MR | Zbl
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