{
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  "title": "Families of connected self-similar sets generated by Complex Trees",
  "date": "2019-03-28",
  "event": "Topics in Complex Dynamics 2019, IMUB, Universitat de Barcelona",
  "author": "Bernat Espigulé",
  "format": "Recovered static slides",
  "limitations": "These static slides were recovered from the original Keynote export, in its original slide order. Animations, embedded video and incremental builds are not reproduced. Extracted text may omit mathematical notation visible in the images. Historical titles and notation are preserved.",
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      "text": "Xavier Jarque & Núria Fagella\n© Complex Trees\nbernat@espigule.com\nTopics in Complex Dynamics 2019 IMUB, Universitat de Barcelona, March 28th\nBernat Espigulé\narXiv:1902.11282\nFamilies of connected self-similar sets generated by Complex Trees",
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      "text": "2014\n© Complex Trees\nThurston’s last paper\nBill Thurston\n(1946 – 2012)\nMathematics is a process of staring hard enough at the fog of confusion to eventually break through to improved clarity.\nThurston\nENTROPY IN DIMENSION ONE\narxiv.org/abs/1402.2008",
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      "text": "© Complex Trees\nComplex tree\nGeometric series",
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      "text": "empty string\ncomplex-valued alphabet\nletters\ncomplex tree\n© Complex Trees\nroot\nnodes\ntip points\nword",
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      "text": "tipset complex tree\n© Complex Trees\ncomplex tree",
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      "text": "© Complex Trees\nFirst-level pieces\nThe tipset is a self-similar set",
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      "text": "Key idea: “tip-to-tip gluing”\n© Complex Trees",
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      "text": "Topological set\n© Complex Trees",
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      "text": "Structurally stable tree\nTopological set\n© Complex Trees",
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      "text": "A family of tipset connected trees\n© Complex Trees",
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      "text": "A family of tipset connected trees\n© Complex Trees",
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      "text": "A family of tipset connected trees\n© Complex Trees",
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      "text": "© Complex Trees\nThe unstable set M vs the stable set K",
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      "text": "Family of Binary Complex Trees\nRelated Work:\n© Complex Trees",
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      "text": "The Wolfram Set W0=W1=M0\n© Complex Trees",
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      "text": "@bernatree\nHolomorphic Dynamics Group\nNúria Fagella & Xavier Jarque\n© Complex Trees\nBernat Espigulé\n“If you wish to advance into the infinite,\nexplore the finite in all directions.”\n⎯ Goethe.\nThank you!",
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      "text": "bernat@espigule.com\n© Complex Trees",
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