Mes Intérêts Scientifiques:

Systèmes dynamiques holomorphes, analyses complexes





Preprints :

S. Koch et Tan L. , On balanced planar graphs, following W. Thurston, arXiv:math/1502.04760

Cui G.-Zh. et Tan L., Hyperbolic-parabolic deformations of rational maps, arXiv:math/1501.01385

M. El Amrani, M. Granger, J.-J. Loeb, L. Tan, Smooth critical points of planar harmonic mappings, arXiv:math/1407.3403.



Publications :

Cui G.-Zh., Peng W.-J., et Tan L., Renormalization and wandering Jordan curves of rational maps, arXiv:math/1403.5024, to appear in: Communications in Mathematical Physics.

Cui G.-Z., Gao Y., Rugh H.-H. et Tan L. , Rational maps as Schwarzian primitives, Science China, to appear.

K. Dias et Tan L., Landing separatrices are stable, an appendix in Dias: On Parameter Space of Complex Polynomial Vector Fields in the Complex Plane, Journal of differential equations, to appear. Preliminary version arXiv:1406.4117.

H.H. Rugh, Tan L.,  Kneading with weights, Journal of fractal geometry,  volume 2, 339-375 (2015). Preliminary version http://hal.archives-ouvertes.fr/hal-01026144

Chéritat A., Gao Y., Ou Y-F. et Tan L., A refinement of the Gauss-Lucas theorem (after W. P. Thurston), CRAS, I 353 (2015) 711–715, DOI : 10.1016/j.crma.2015.05.007

Peng W.-J. et Tan L., Quasi-conformal rigidity of multicritical maps,  Trans. Amer. Math. Soc. 367 (2015), 1151-1182, DOI: http://dx.doi.org/10.1090/S0002-9947-2014-06140-0, Preliminary version with a different title: arXiv:math/1105.0497.

Buff X., Cui G.-Zh. et Tan L., Teichmüller spaces and holomorphic dynamics, Handbook of Teichmüller theory, Vol. IV, ed. Athanase Papadopoulos, Société mathématique européenne, 2014, pp. 717-756.

Buff X. et Tan L., The quadratic dynatomic curves are smooth and irreducible, In "Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday" Edited by Araceli Bonifant, Misha Lyubich, and Scott Sutherland, Princeton University Press, Princeton NJ, 2014, pp 49-72.

Pilgrim K. et Tan L., Disc-annulus surgery on rational maps,
a section in: B. Branner and N. Fagella, Quasiconformal surgery in holomorphic dynamics. Cambridge Stud. Adv. Math. 141, Cambridge University Press, Cambridge 2014, pp. 267-282.

Cui G.-Zh., Peng W.-J. et Tan L., On a theorem of Rees-Shishikura,
Annales de la Faculté des Sciences de Toulouse, Vol. XXI, numéro 5, 2012, pp. 981-993.

Chéritat A. et Tan L., Si nous faisons danser les racines? Un hommage à Bill Thurston , article de vulgarisation, Images des mathématiques CNRS, 7 Nov. 2012.

Cui G.-Zh. et Tan L., A characterization of hyperbolic rational maps,
Invent. math., Vol. 183, Number 3, pp. 451-516, 2011 (earlier version on arXiv:math/0703380v2).

Cui G.-Zh., Peng W.-J. et Tan L., On the topology of wandering Julia components,
Disc. and cont. dyn. sys., Vol. 29, No. 3, pp. 929-952, 2010.

Cui G.-Zh. et Tan L., Distortion control of conjugacies between quadratic polynomials,
Science China mathematics, Vol. 53 (3), 625-634, 2010.

Peng W.-J. et Tan L., Combinatorial rigidity of unicritical maps,
Science China mathematics, Vol. 53 (3), 831-848, 2010.

Peng W.-J., Qiu W.-Y., P. Roesch, Tan L. et Yin Y.-Ch., A tableau approach of the KSS nest,
Conformal geometry and dynamics, AMS electronic journal, Vol. 14 (2010), pp. 35-67.

La méthode de Newton et son fractal, article de vulgarisation, Images des Mathématiques, CNRS, rubrique : Articles mathématiques.

C. Petersen et Tan L., Analytic coordinates recording cubic dynamics,
dans Complex Dynamics, Families and Friends, ed. D. Schleicher, A K Peters, 2009.

Tan L. et Yin Y.-Ch., Uni-critical Branner-Hubbard conjecture,
dans Complex Dynamics, Families and Friends, ed. D. Schleicher, A K Peters, 2009.

X. Buff et Tan L., Dynamical convergence and polynomial vector fields,
Journal of differential geometry, 77 (2007), pp. 1-41.

C. Petersen et Tan L., Branner-Hubbard motions and attracting dynamics,
dans: Dynamics on the Riemann sphere, European Mathematical Society (2006) pp. 45-70.

Stretching rays and their accumulations, following Pia Willumsen,
dans: Dynamics on the Riemann sphere, European Mathematical Society (2006), pp. 183-208.

P. Haissinsky et Tan L., Convergence of pinching deformations and matings of geometrically finite polynomials,
Fundamenta Mathematicae 181 (2004), pp. 143-188.

K. Pilgrim et Tan L., Spinning deformations of rational maps,
Conformal geometry and dynamics, AMS electronic journal, 8 (2004), pp. 52-86.

On pinching deformations of rational maps,
Ann. Scient. Ec. Norm. Sup., t.35, 2002, pp. 353-370.

M. Shishikura et Tan L., A family of cubic rational maps and matings of cubic polynomials,
Experimental Math., vol. 9 (2000), No. 1, pp. 29-53.

K. Pilgrim et Tan L., Rational maps with disconnected Julia set,
Astérisque 261 (2000), pp. 349-384.

Local properties of the Mandelbrot set at parabolic points,
dans The Mandelbrot Set, Theme and Variations (voir ci-dessous), pp. 133-160.

M. Shishikura et Tan L., An alternative proof of Mané's theorem on non-expanding Julia sets,
dans The Mandelbrot Set, Theme and Variations (voir ci-dessous), pp. 265-279.

(éditeur) The Mandelbrot Set, Theme and Variations (Introduction),
LMS Lecture Note Series 274, Cambridge Univ. Press, 2000.

K. Pilgrim et Tan L., On disc-annulus surgery of rational maps,
Proceedings of the International Conference in Dynamical Systems, World Scientific 1999, pp. 237-250.

K. Pilgrim et Tan L., Combining rational maps and controlling obstructions,
Ergod. th. and dyn. syst., vo. 18 (1998), pp. 221-246.

Hausdorff Dimension of subsets of the parameter space for families of rational maps
(A generalization of Shishikura's result) (pdf),
Nonlinearity, vol. 11, issue 1 (1998), pp. 233-246.

Branched coverings and cubic Newton maps,
Fundamenta Mathematicae, 154 (1997), pp. 207-260.

Tan L. et Yin Y.-Ch., Local connectivity of the Julia set for geometrically finite rational maps,
Science in China (series A), vol. 39, no. 1 (1996), pp. 39-47.

Local properties of The Mandelbrot set M, Similarity between M and Julia sets,
Proceedings of the seventh EWM meeting, Madrid, 1995, pp. 71-82.

Continuous and discrete Newton's algorithms,
Proceedings of the Conference on Complex Analysis, Nankai Institute of Mathematics (1992),
International press (1994), pp. 208-219.

J.Milnor et Tan L., A Sierpinski carpet as Julia set,
une appendice dans J. Milnor, Geometry and dynamics of quadratic rational maps,
Exper. Math. vol. 2 (1993), pp. 78-81.

Matings of quadratic polynomials,
Ergod. th. and dyn. syst., vo. 12 (1992), pp. 589-620.

Voisinages connexes des points de Misiurewicz,
Ann. Inst. Fourier, 42, 4 (1992), pp. 707-735.

Similarity between the Mandelbrot set and Julia sets,
Commun. Math. Phys. 134 (1990), pp. 587-617.

Accouplements des polynômes quadratiques complexes,
CRAS Paris, t. 302, série I, n.17, 1986, pp. 635-638.

Ordre du contact des composantes hyperboliques de M,
dans A. Douady et J.H. Hubbard, Etude dynamique des polynômes complexes, II,
publications mathématiques d'Orday, 85-04, 1985, pp. 56-60.





Thèse de l'habilitation et Polycopie du cours de l'école d'été à Grenoble.