Artem Dudko

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This project is funded by National Science Centre, Poland, grant No. 2016/23/P/ST1/04088. It is carried out under POLONEZ programme which has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 665778.

Principal investigator: Dr. Artem Dudko, IMPAN, Warsaw.

Co-investigator: Prof. dr habil. Feliks Przytycki, Director of IMPAN, Warsaw.

Research assistants: Dr. David Marti-Pete and Dr. Dyi-Shing Ou, IMPAN, Warsaw.

Publications and preprints:

  • (joint with K. Medynets) On invariant random subgroups of block-diagonal limits of symmetric groups, to appear in Proc. of AMS, [ arXiv: math.GR/711.01653 ]
  • (joint with R. Grigorchuk) On the question "Can one hear the shape of a group?" and Hulanicki type theorem for graphs, [ arXiv: math.GR/1809.04008 ]
  • (joint with S. Sutherland) On the Lebesgue measure of the Feigenbaum Julia set, [ arXiv: math.DS/1712.08638 ]
  • (joint with M. Yampolsky) Almost every real quadratic polynomial has a poly-time computable Julia set, to appear in Found. of. Comp. Math., [ arXiv:math.DS/1702.05768

Talks:

  • February 18, 2019, Minicourse on Hausdorff dimension of the Feigenbaum Julia set,  Holomorphic Dynamics Learning Seminar, IMPAN, Warsaw.
  • January 28, 2019, Can one hear the shape of a group?, Alfred Renyi Institute of Mathematics, Budapest, Hungary.
  • January 17, 2019, On computational complexity of Cremer Julia sets, Ergodic Theory and Dynamical Systems Seminar, University of Warwick, Coventy, UK.
  • January 15, 2019, On Hausdorff dimension of the Feigenbaum Julia set, Dynamical Systems Seminar, Imperial College London, UK.
  • October 22, 2018, On Hausdorff dimension of the Feigenbaum Julia set, Dynamical Systems Seminar at IMPAN, Warsaw, Poland.
  • July 23, 2018, On Hausdorff dimension of the Feigenbaum Julia set, Dynamical Systems Seminar, University of Barcelona, Spain.
  • July 5, 2018, On computability and computational complexity of Julia sets, Workshop "New Developments in Complex Analysis and Function Theory", University of Crete, Heraklion, Greece.
  • April 26, 2018, On the Lebesgue measure of the Feigenbaum Julia set, Ergodic Theory and Dynamics Seminar, Wroclaw, Poland.
  • March 27, 2018, On the Lebesgue measure of the Feigenbaum Julia set, Workshop "Algorithmic Questions in Dynamical Systems", Institut de Mathématiques de Toulouse, France.
  • November 13, 2017, On the Julia set of the Feigenbaum quadratic polynomial, Dynamical Systems Seminar at IMPAN, Warsaw, Poland.
  • September 18, 2017, Wild attractors for Henon-like maps, Dynamical Systems Seminar at IMPAN, Warsaw, Poland.

Conference and workshop participation:

  • Zagreb Dynamical Systems Workshop, University of Zagreb, Croatia, October 22-26, 2018.
  • New Developments in Complex AnCalysis and Function Theory, University of Crete, Heraklion, Greece, July 2-6, 2018.
  • Algorithmic Questions in Dynamical Systems, Institut de Mathématiques de Toulouse, France, March 26-29, 2018.
  • On geometric complexity of Julia sets, Będlewo, Poland, March 18-23, 2018.
  • Complex dynamics and quasi-conformal surgery (in memory of Tan Lei), Université d'Angers, October 23-25, 2017.

Other activities within or closely related to the project:

  • Co-organizing the conference "Dynamics, measures and dimensions", Będlewo, Poland, April 7-12, 2019.
  • Co-organizing Holomorphic Dynamics Learning Seminar at IMPAN.
  • Co-organizing Dynamical Systems Seminar at IMPAN.
  • Co-organizing the conference "On geometric complexity of Julia sets", Będlewo, Poland, March 18-23, 2018.

 

                                                                                                                               

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