Prof. Dr. Tien Cuong Dinh

Profile

Academic positionFull Professor
Research fieldsGeometry, Topology,Analysis, Differential Equations,General and overarching topics in Mathematics; collections
Keywordspluripotential theory, dynamical systems, ergodic theory, foliations, complex analysis

Current contact address

CountrySingapore
CitySingapore
InstitutionNational University of Singapore (NUS)
InstituteDepartment of Mathematics

Host during sponsorship

Prof. Dr. Jürgen LeitererInstitut für Mathematik, Humboldt-Universität zu Berlin, Berlin
Prof. Dr. Hélène EsnaultInstitut für Mathematik, Freie Universität Berlin, Berlin
Prof. Dr. George MarinescuMathematisches Institut, Universität zu Köln, Köln
Start of initial sponsorship01/04/2002

Programme(s)

2002Humboldt Research Fellowship Programme
2018Humboldt Research Award Programme

Nominator's project description

He has repeatedly initiated new lines of thought that have led to intriguing, unexpected solutions for relevant problems and have had a substantial impact on the advancement of these fields. During his stay in Germany, Professor Dinh will continue to work on topics such as pluripotential theory, quantum ergodicity and stochastic Kähler geometry.

Publications (partial selection)

2007Tien Cuong Dinh: Attracting current and equilibrium measure for attractors on P^k. In: J. Geometric Analysis, 2007, 227-244
2007Tien Cuong Dinh, Viet Anh Nguyen and Nessim Sibony: On thermodynamics of rational maps on the Riemann sphere. In: Ergodic Theory Dynam. Systems, 2007, 1095-1109
2007Tien Cuong Dinh and Nessim Sibony: Pull-back of currents by holomorphic maps, Manuscripta, Manuscripta Math. 123 (2007), no. 3, 357-371.. In: Manuscripta Math. , 2007, 357-371
2006Tien Cuong Dinh and George Marinescu: Compactification of hyperconcave ends and Siu-Yau's and Nadel's theorems. In: Invent. math, 2006, 233-248
2006Tien Cuong Dinh and Nessim Sibony: Decay of correlations and central limit theorem for meromorphic mapsDecay of correlations and central limit theorem for meromorphic maps. In: Comm. Pure Appl. Math., 2006, 754-768
2006Tien Cuong Dinh and Nessim Sibony: Distribution des valeurs d'une suite de transformations méromorphes et applications. In: Comment. Math. Helv., 2006, 221-258
2006Tien Cuong Dinh and Nessim Sibony: Geometry of currents, intersection theory and dynamics of horizontal-like maps. In: Ann. Inst. Fourier (Grenoble), 2006, 423-457
2006Tien Cuong Dinh and Viet Anh Nguyen: Mixed Hodge-Riemann theorem for compact Kahler manifolds. In: GAFA, 2006, 836-849
2005Tien Cuong Dinh: Decay of correlations for Hénon maps. In: Acta Math., 2005, 253-264
2005Tien Cuong Dinh: Distribution des préimages et des points périodiques d'une correspondance polynomiale. In: Bull. Soc. Math. France, 2005, 363-394
2005Tien Cuong Dinh and Nessim Sibony: Dynamics of birational maps of P^k . In: J. Funct. Analysis, 2005, 202-216
2005Tien Cuong Dinh and Nessim Sibony: Equidistribution for meromorphic transforms and ddc-method. In: Sci. China Ser. A, 2005, 180-194
2005Tien Cuong Dinh and Nessim Sibony: Green currents for holomorphic automorphisms of compact Kahler manifolds . In: J. Amer. Math. Soc., 2005, 291-312
2005Tien Cuong Dinh, Romain Dujardin and Nessim Sibony: On the dynamics near infinity of some polynomial mappings in C^2. In: Math. Ann., 2005, 703-739
2005Tien Cuong Dinh: Suites d'applications méromorphes multivaluées et courants laminaires. In: J. Geometric Analysis, 2005, 207-227
2005Tien Cuong Dinh and Nessim Sibony: Une borne supérieure de l'entropie topologique d'une application rationnelle. In: Ann. of Math., 2005, 1637-1644
2004Tien Cuong Dinh and Christophe Dupont: Dimension de Hausdorff de la mesure d'équilibre d'applications méromorphes. In: J. Geometric Analysis,, 2004, 613-627
2004Tien Cuong Dinh and Nessim Sibony: Dynamique des applications semi-régulières. In: Arkiv for Mat., 2004, 61-85
2004Tien Cuong Dinh and Nessim Sibony: Groupes commutatifs d'automorphismes holomorphes d'une variété kahlérienne compacte. Duke Math. J., 2004, 311-328
2004Tien Cuong Dinh and Nessim Sibony: Regularization of currents and entropy . In: Ann. Sci. Ecole Norm. Sup. (4), 2004, 959-971
2003Tien Cuong Dinh and Nessim Sibony: Dynamique des applications d'allure polynomiale. In: J. Math. Pures Appl., 82, 2003, 367-423., 2003, 367-423
2003Tien Cuong Dinh and M. Laurence: Lawrence M., Polynomial hull and postive currents. In: Ann. Fac. Sci. Toulouse, XII, 2003, 317-334., 2003, 317-334
2003Tien Cuong Dinh, Mark G. Lawrence: Polynomial hulls and positive currents. In: Annales de la Faculté des Sciences de Toulouse, 2003, 317-334
2002Tien Cuong Dinh: Ensembles d'unicité pour les polynômes. In: Ergodic Theory and Dynamical Systems, 2002, 171-186
2002Tien Cuong Dinh and Nessim Sibony: Sur les endomorphismes permutables de P^k. In: Math. Ann., 324, 2002, 33-70., 2002, 33-70