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Jan Kiwi 

 
Photo Jan Kiwi
I am associate Professor at the Departamento de Matemáticas which is one of the two departments of the
Facultad de Matemáticas in the Pontificia Universidad Católica de Chile.

My main research interest is Dynamical Systems.
For information about the mathematical research activity on Dynamical Systems in Chile see  http://dynamicalsystems.cl 

e-mail: jkiwi at uc dot cl
Office phone: (562) 354 5999, fax: (562) 552 5916
Office: Third Floor, Facultad de Matemáticas,
             Campus San Joaquin (Vicuña Mackenna 4860, Macul, Santiago Chile).
Postal address: Jan Kiwi, Facultad de Matemáticas, PUC, Casilla 306, Correo 22, Santiago Chile.


Papers and Preprints

With A. Bonifant,  and J. Milnor,  On cubic polynomial maps with periodic critical point, Part II: Escape Regions. arXiv:0910.1866 [math.DS]

With G. Iommi,  The Lyapunov spectrum is not always concave, Journal of Statistical Physics  35 (2009), no.3,  535--546.

With H. InouCombinatorics and topology of straightening maps I: compactness and bijectivity. arXiv:0809.1262v1 [math.DS]

With R. Bamón and J. Rivera-Letelier, Wild Lorenz like attractors. arXiv:math/0508045v2 [math.DS]

Puiseux series polynomial dynamics and iteration of complex cubic polynomials. Ann. Inst. Fourier (Grenoble) 56 (2006), no. 5, 1337--1404. Article.

With R. Bamón, J. Rivera-Letelier and R. Urzúa, On the topology of solenoidal attractors of the cylinder. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 2, 209--236. Article.

Combinatorial continuity in complex polynomial dynamics. Proc. London Math. Soc. (3) 91 (2005), no. 1, 215--248. Article.

$\Bbb R$eal laminations and the topological dynamics of complex polynomials. Adv. Math. 184 (2004), no. 2, 207--267. Article.

Wandering orbit portraits. Trans. Amer. Math. Soc. 354:4 (2002), 1473-1485. Article.

Rational laminations of complex polynomials, in ``Laminations and Foliations in Dynamics, Geometry and Topology'' (Proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at  Stony Brook), ed. M. Lyubich et al., Contemporary Mathematics (2001), 269, 111-154.

Non-accessible critical points of Cremer polynomials, Ergodic theory and dynamical systems (2000), 20, 1391-1403.

From the Shift Loci to the Connectedness Loci of Complex polynomials,  in ``Complex Geometry of Groups'' (Proceedings of I Iberoamerican Congress on Geometry, Olmué, Chile, January 1998), ed. A. Carocca et al,  Contemporary Mathematics (1999), 240, 231-245.

Rational rays and critical portraits of complex polynomials. Ph. D. Thesis SUNY at Stony Brook (1997). IMS Preprint #1997/15.

 
Students

          Eugenio Trucco,  Ph. D. in Mathematics student at PUC.

         Jose David Torres, Master in Mathematics PUC, 2008.   

         Rodrigo Parra, Master in Mathematics PUC, 2005.
(co-advisor Juan Rivera-Letelier)

         Gabriela Fernandez, Master in Mathematics PUC, 2004.
(co-advisor Juan Rivera-Letelier)


Recent organization of events

VII Escuela de Sistemas Dinámicos October 6 to 10, 2008, IMA, PUCV, Valparaiso, Chile. Organizing Committee: Victor Guiñez (USACH), Jan Kiwi (PUC), Jaime Mena (PUCV), Eduardo Saez (UTFSM), Carlos Vásquez (PUCV).

Ultrametric Dynamical Days, January 21 to February 1, 2008, PUC, Santiago, Chile. Organizing Committee: Charles Favre (CNRS, France), Jan Kiwi (PUC), Juan Rivera-Letelier (UCN).

Recent administration and service responsibilities

Director de Investigación y Postgrado, Facultad  de Matemáticas, PUC (October 2007--)

Grupo de Estudios de Matemáticas y Estadística, FONDECYT. (Member: March  2006--March 2009, Director: March 2007--March 2009).

Hiring committee, Departamento de Matemáticas, PUC (2007--2008)


Recent Grants


       
Research Network on Low dimensional Dynamical Systems, ACT-17, PBCT/CONICYT, Chile (April 2007--April 2010)
                    Director: Juan Rivera-Letelier (PUC).
Main Researchers: Jan Kiwi (PUC), Andrés Navas (USACH), Bernardo San Martín (UCN).