Ergodic theorems for laminations and foliations: recent results and perspectives. Acta Math. Vietnam.,
46 (2021), no. 1, 9–101. VIASM Annual Meeting, août 2019, Hanoi, Vietnam.
Dedicated to My Beloved Father.[article|preprint]
2020
Distribution of scattering resonances for generic Schrödinger operators.
With
T.-C. Dinh.J. Funct. Anal.,
278 (2020), no. 10, 108446, 26 pages.
[article|preprint]
Geometric
characterization of Lyapunov exponents for Riemann surface
laminations. J. Geom. Anal., 30 (2020), 2442–2478.
Dedicated to the memory of Professor Gennadi M. Henkin.[article|preprint]
2018
Ergodic theory for Riemann surface laminations: a survey.
In: Byun J., Cho H., Kim S., Lee KH., Park JD. (eds) Geometric Complex Analysis.
Springer Proc. Math. Stat.
vol 246. Springer, Singapore (2018), 291–327. Dedicated to Professor Kang-Tae Kim
for his sixtieth birthday.[article|preprint]
Super-potentials, densities of currents and number of periodic points for holomorphic maps.
With
T.-C. Dinh and D.-V.
Vu.Adv. Math.,
331 (2018), 874–907.
Dedicated to Professor Lê Tuân Hoa on the occasion of his sixtieth birthday.[article|preprint]
Approximation and equidistribution results for pseudo-effective line bundles.
With
D. Coman and
G. Marinescu.J. Math. Pures Appl. (9),
115 (2018), 218–236.
[article|preprint]
Large
deviations principle for some beta-ensembles.
With
T.-C. Dinh. Trans. Amer. Math. Soc.,
370 (2018), no. 9, 6565–6584.
[article|preprint]
Singular
holomorphic foliations by curves I: Integrability of holonomy cocycle
in dimension 2. Invent. Math.212 (2018), no. 2, 531–618.
Dedicated to Professor Nessim Sibony for his seventieth birthday.[article|preprint]
Directed
harmonic currents near hyperbolic singularities. Ergodic Theory Dyn. Syst.,
38 (2018), 3170–3187.
[article|preprint]
2017
Growth
of the number of periodic points for meromorphic maps.
With
T.-C. Dinh and T.-T.
Truong. Bull. Lond. Math. Soc.49 (2017), no. 6, 947–964.
Dedicated to Professor Ngô Viêt Trung.[article|preprint]
On
the asymptotic behavior of Bergman kernels for positive line bundles.
With
T.-C. Dinh and X.-N.
Ma. Pacific J. Math.289 (2017), no. 1, 71–89.
[article|preprint]
Equidistribution
speed for Fekete points associated with an ample line bundle.
With
T.-C. Dinh and X.-N.
Ma. Ann.
Sci. Éc. Norm. Supér. (4)50 (2017), no. 3, 545–578.
[article|preprint]
Oseledec
multiplicative ergodic theorems for laminations. Memoirs of the AMS vol. 246, no. 1164, Amer. Math. Soc., Providence, RI, 2017, pp. 1–174.
[article|preprint]
2016
Hölder
singular metrics on big line bundles and equidistribution.
With
D. Coman and
G. Marinescu. Int. Math. Res. Not.
IMRN, 2016,
(2016), no. 16, 5048–5075.
[article|preprint]
2015
Equidistribution
for
meromorphic maps with dominant topological degree.
With
T.-C. Dinh and T.-T. Truong.
Indiana
Univ. Math. J.,64, (2015), no. 6,
1805–1828. [article|preprint]
2014
Characterization
of Monge-Ampère measures with
Hölder continuous potentials.
With
T.-C. Dinh. J. Funct. Anal.,
266, (2014), no. 1, 67–84. [article]
Entropy
for hyperbolic Riemann surface laminations II.
With
T.-C. Dinh and
N. Sibony. Frontiers in Complex
Dynamics:
a volume in honor of John Milnor's 80th birthday, (A.
Bonifant, M.
Lyubich, S. Sutherland, editors),
(2014), 593–622, Princeton University Press, [preprint]
Entropy
for hyperbolic Riemann surface laminations I.
With
T.-C. Dinh and
N. Sibony. Frontiers in Complex
Dynamics:
a volume in honor of John Milnor's 80th birthday, (A.
Bonifant, M.
Lyubich, S. Sutherland, editors),
(2014), 569–592, Princeton University Press, [preprint]
On
the dynamical degrees of meromorphic maps preserving a fibration.
With
T.-C. Dinh and T.-T. Truong.
Commun. Contemp. Math., 14, (2012),
no. 6, 18 pages. [article|preprint]
Heat
equation and ergodic theorems for Riemann surface laminations.
With
T.-C. Dinh and
N. Sibony. Math. Ann.,
354, (2012), no. 1, 331–376. [article|preprint]
Green
currents for quasi-algebraically stable meromorphic self-maps of
$\mathbb{P}^k$. Publ. Math., 56,
(2012), no. 1, 127–146. [article|preprint]
2011
Comparison
of
dynamical degrees for semi-conjugate meromorphic maps.
With
T.-C. Dinh.Comment. Math. Helv. 86, (2011),
no. 4, 817–840. [article|preprint]
2010
Exponential
estimates for plurisubharmonic functions and stochastic
dynamics.
With
T.-C. Dinh and
N. Sibony. J. Differential Geom. 84
(2010),
no. 3, 465-488. [article|preprint]
Conical
plurisubharmonic measure and new
cross
theorems. J. Math. Anal. Appl.365
(2010), no. 2, 429-434. [article]
The proof of the main result of the article is incomplete.
A complete proof has
been announced here: Corrigendum to ``Conical
plurisubharmonic measure and new
cross
theorems" [ J. Math. Anal. Appl.365
(2010), no. 2, 429-434]. J. Math. Anal. Appl.403
(2013), no. 1, 330. [article]
A detailed complete proof has been posted here: Corrigendum:
Conical
plurisubharmonic measure and new
cross
theorems.
17 pages, available at [preprint]
Cross
theorems with singularities.
With
P. Pflug. J. Geom. Anal. 20
(2010), no. 1, 193-218. [article|preprint]
2009
Recent
developments in the theory of separately holomorphic mappings.
(Survey article) Colloq. Math.117
(2009),
no. 2, 175-206. [article|preprint]
Boundary
cross theorem in dimension $1$
with singularities.
With
P. Pflug.
Indiana Univ. Math. J. 58
(2009),
no. 1, 393-414. [article|preprint]
2008
Dynamics
of
horizontal-like maps in higher dimensions.
With
T.-C. Dinh and
N. Sibony. Adv. Math.
219 (2008), no. 5,
1689-1721. [article|preprint]
A
unified approach to the theory of separately holomorphic mappings. Ann. Scuola Norm. Sup. Pisa Cl. Sci. serie V,
7 (2008), no. 2, 181-240. [article|preprint]
2007
Envelope
of holomorphy for
boundary cross sets.
With
P. Pflug.
Arch. Math. (Basel) 89
(2007),
no. 4, 326-338. [article|preprint]
On
thermodynamics of rational maps on the Riemann sphere.
With
T.-C. Dinh and
N. Sibony. Ergodic Theory Dyn. Syst. 27 (2007), no. 4,
1095-1109. [article|preprint]
Generalization
of a theorem of Gonchar.
With
P. Pflug.
Ark. Mat. 45
(2007),
no. 1, 105-122. [article|preprint]
Boundary
cross theorem in dimension $1$.
With
P. Pflug.
Ann. Polon. Math. 90
(2007),
no. 2, 149-192. [article|preprint]
2006
The
mixed Hodge-Riemann bilinear relations
for compact Kähler manifolds.
With
T.-C. Dinh.Geom. Funct. Anal. 16
(2006),
no. 4, 838-849. [article|preprint]
Algebraic
degrees for iterates of meromorphic self-maps of $\mathbb{P}^k$. Publ. Math. 50
(2006),
no. 2, 457-473. [article|preprint]
2005
A
general version of the Hartogs extension theorem
for separately holomorphic mappings between complex analytic
spaces. Ann. Scuola Norm. Sup. Pisa Cl. Sci. serie V,
4 (2005), no. 2, 219-254. [article|preprint]
2004
A
boundary cross theorem
for separately holomorphic functions.
With
P. Pflug.
Ann. Polon. Math. 84
(2004),
no. 3, 237-271. [article|preprint]
2003
A
remark on a question of Lempert-Henkin. Int. J. of Math. 14
(2003), no. 10, 1091-1095. [article]
Extension
theorems of Sakai type
for separately holomorphic and meromorphic functions.
With
P. Pflug.
Ann. Polon. Math. 82
(2003),
no. 2, 171-187. [article|preprint]
Optimal
Lipschitz estimates for the $\overline\partial$-equation
on a class of convex domains.
With
E.-H. Youssfi.Ann. Fac. Sci. Toulouse
(6)
12
(2003),
no. 2, 179-243. [article|preprint]
2002
Fatou
and Korányi-Vági type theorems on the
minimal balls. Publ. Mat. 46
(2002), no. 1, 49-75. [article]
2001
Estimations
Lipschitziennes optimales
pour l'équation $\overline\partial$
dans une classe de
domaines
convexes.
With
E.-H. Youssfi. C. R. Acad. Sci. Paris
Sér. I Math. 332 (2001),
no. 12, 1065-1070. [article]
Lipschitz
estimates for the $\overline\partial$-equation
on the minimall balls.
With
E.-H. Youssfi. Michigan Math. J. 49 (2001), no. 2, 299-323. [article]
2000
The
Lu Qi-Keng conjecture fails
for strongly convex algebraic complete
Reinhardt domains in $\mathbb{C}^n$
($n\geq 3$). Proc. Amer. Math. Soc. 128
(2000), no. 6, 1729-1732. [article]
Theses
Holomorphie
séparée,
Dynamique complexe et
Théorèmes de Hodge--Riemann. Habilitation à diriger des
recherches
defended at the Université Paris-Sud XI (Orsay,
France) on 25 June 2007. [Abstract|Full
text]
Problème
de
Lu Qi-Keng, Théorie $H^p$
et Équation de
Cauchy-Riemann. Ph.D Thesis
defended
at the Université d'Aix-Marseille I (Marseille,
France) on 6 March
2001. [Abstract|Full
text]
Département de Mathématiques,
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