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  "title": "Complex Trees: Structural Stability of Connected Self-similar Sets",
  "date": "2019-10-29",
  "event": "Illustrating Mathematics, ICERM",
  "author": "Bernat Espigulé",
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      "text": "Illustrating Mathematics ICERM, Brown University, October 29th\nbernat@espigule.com\nComplex Trees: Structural Stability of Connected Self-similar Sets\narXiv:1902.11282\nXavier Jarque & Núria Fagella\nBernat Espigulé",
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      "text": "2014\nBill Thurston\n(1946 – 2012)\nThurston’s last paper\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": "Geometric series\nComplex tree",
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      "text": "letters\nword\nnodes\nempty string\nroot\ntip points\ncomplex tree\ncomplex-valued alphabet",
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      "text": "tipset complex tree\ncomplex tree",
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      "text": "Key idea: “tip-to-tip gluing”",
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      "text": "Holomorphic Dynamics Group\nNúria Fagella & Xavier Jarque\nBernat Espigulé\nThank you!\n@bernatree\n“If you wish to advance into the infinite,\nexplore the finite in all directions.”\n⎯ Goethe.",
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