David Martí-Pete
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  Research

My research area is Complex Dynamics, which lies in between Dynamical Systems and Complex Analysis. We study the discrete dynamical systems associated to the iteration of holomorphic maps.

More precisely, I am interested in the following topics (click to expand!):

  • iteration of holomorphic self-maps of the punctured plane \(\mathbb C^*=\mathbb C\setminus\{0\}\)

  • the escaping set of transcendental functions

  • Baker domains

  • wandering domains

  • the complex Arnol'd standard family

  • iteration of holomorphic functions with several essential singularities

Analysis and geometry group at OU: www.mathematics.open.ac.uk/research/pure/analysis-and-geometry
Holomorphic dynamics group at UB: www.maia.ub.es/holodyn
Dynamical systems group at KU: https://www.math.kyoto-u.ac.jp/dynamics/
My page at the GSD-UAB: www.gsd.uab.cat/personal/dmarti


My supervisors and host professors

     

Prof. Núria Fagella - MSc supervisor (2010-2011)
Dept. de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona

www.gsd.uab.cat/personal/nfagella
http://genealogy.math.ndsu.nodak.edu/id.php?id=6827

     

Prof. Phil Rippon - PhD supervisor (2013-2016)
Dept. of Mathematics and Statistics, The Open University

www.mathematics.open.ac.uk/People/phil.rippon
http://genealogy.math.ndsu.nodak.edu/id.php?id=169422

     

Prof. Gwyneth Stallard - PhD supervisor (2013-2016)
Dept. of Mathematics and Statistics, The Open University

www.mathematics.open.ac.uk/People/gwyneth.stallard
http://genealogy.math.ndsu.nodak.edu/id.php?id=172620

     

Prof. Mitsuhiro Shishikura - JSPS host professor (2016-2018)
Dept. of Mathematics, Kyoto University

www.math.kyoto-u.ac.jp/~mitsu/
http://www.genealogy.math.ndsu.nodak.edu/id.php?id=172234

     

Prof. Feliks Przytycki - IMPAN mentor (from 2018)
Institute of Mathematics of the Polish Academy of Sciences

www.impan.pl/~feliksp/
http://www.genealogy.math.ndsu.nodak.edu/id.php?id=127955


The Complex Dynamics group in Milton Keynes


From left to right: Phil Rippon, Gwyneth Stallard, Dave Sixsmith, Vasso Evdoridou and me.
This picture was taken in front of the Pisa tower in October 2013 – the sun dazzled!


The Complex Dynamics group in Barcelona


From left to right: Sébastien Godillon, Xavier Jarque, Núria Fagella, me, Jordi Canela and
Toni Garijo. This picture was taken in the Annual Meeting 2013 in Tarragona.


The whole family! In the front row, the advisors: Núria Fagella and Xavier Jarque. In the back row, the students: Toni Garijo, Asli Deniz, Jordi Canela, Jordi Taixés and me. This is from one
of our Complex Dynamics Working Seminar in January 2013 at the IMUB Room in Barcelona.