David Martí-Pete
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My research interests

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 in transcendental dynamics (click to expand!)*:

  1. Iteration of transcendental self-maps of the punctured plane \(\mathbb C^*=\mathbb C\setminus\{0\}\)

  2. Baker domains

  3. Wandering domains

  4. The complex Arnol'd standard family
* Note that several of my papers are related to more than one of my research interests.

My supervisors and host professors


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



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



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



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



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


Research groups

Research visits

I visited / will visit

  • Prof. Mistuhiro Shishikura at Kyoto University (Japan), December 6-22, 2014

  • Dr. Vasiliki Evdoridou at The Open University (UK), March 2-9, 2019

  • Dr. Vasiliki Evdoridou at The Open University (UK), September 3-9, 2019

  • Dr. Anna Miriam Benini at Universita di Parma (Italy), November, 2019
I hosted / will host
  • Dr. Anna Miriam Benini (Universitat de Barcelona) at Kyoto University, November 3-11, 2017

  • Dr. Vasiliki Evdoridou (The Open University) at IMPAN, May 12-18, 2019

  • Prof. Mistuhiro Shishikura (Kyoto University) at IMPAN, August 12-22, 2019

  • Dr. Kirill Lazebnik (Caltech) at IMPAN, September 22-24, 2019

  • Dr. Matthew Jacques (The Open University) at IMPAN, October 21-23, 2019


I am very thankful for the financial support from

as well as the times I have been supported by conferences or other researchers' grants.

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.