Historical presentation · 2019

Complex Trees

Bernat Espigulé ·
Illustrating Mathematics, ICERM
49 slides · Recovered static slides

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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  1. Slides 1–14 (PDF · 7.1 MB)
  2. Slide 15 (PDF · 3.5 MB) Image PDF fallback from the verified 2048 × 1536 slide frame. The complete PDF download preserves the original source page.
  3. Slides 16–30 (PDF · 9.6 MB)
  4. Slides 31–45 (PDF · 9.8 MB)
  5. Slides 46–49 (PDF · 4.8 MB)
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Slide 11 / 49

Slide 1: Holomorphic Dynamics Group Núria Fagella Xavier Jarque @bernatree . @ComplexTrees Bernat Espigulé bernat@espigule.com
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Holomorphic Dynamics Group Núria Fagella Xavier Jarque @bernatree . @ComplexTrees Bernat Espigulé bernat@espigule.com

Slide 22 / 49

Slide 2: d=1
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d=1

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Slide 3: d=2
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d=2

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Slide 4: d=3
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d=3

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Slide 5: d=4
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d=4

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Slide 6: d=5
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d=5

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Slide 7: d=6
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d=6

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Slide 8: d=7
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d=7

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Slide 9: d=8
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d=8

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Slide 10: d=9
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d=9

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Slide 11: d=10
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d=10

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Slide 12: d=11
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d=11

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Slide 13: d=12
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d=12

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Slide 14: d=13
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d=13

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Slide 16: Thurston’s last paper Mathematics is a process of staring hard enough at the fog of confusion to eventually break through to improved clarity. Thurston 2014 Bill Thurston
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Thurston’s last paper Mathematics is a process of staring hard enough at the fog of confusion to eventually break through to improved clarity. Thurston 2014 Bill Thurston (1946 – 2012) ENTROPY IN DIMENSION ONE arxiv.org/abs/1402.2008

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Slide 1818 / 49

Slide 18: 2019 SARAH KOCH
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2019 SARAH KOCH

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Slide 31: Thank you! Bernat Espigulé Holomorphic Dynamics Group Núria Fagella & Xavier Jarque @bernatree “If you wish to advance into the infinite, explore the finite in all direct
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Thank you! Bernat Espigulé Holomorphic Dynamics Group Núria Fagella & Xavier Jarque @bernatree “If you wish to advance into the infinite, explore the finite in all directions.” ⎯ Goethe.

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Slide 35: Equació
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Equació

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Slide 36: Equació
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Equació

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Slide 37: Equació
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Equació

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Slide 39: Equació
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Equació

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Slide 42: Engineered Kidney Tubules for Modeling Patient-Specific Diseases and Drug Discovery Imatge
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Engineered Kidney Tubules for Modeling Patient-Specific Diseases and Drug Discovery Imatge

Slide 4343 / 49

Slide 43: Complex tree Geometric series
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Complex tree Geometric series

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Slide 44: empty string root complex tree complex-valued alphabet tip points letters word nodes
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empty string root complex tree complex-valued alphabet tip points letters word nodes

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Slide 45: tipset complex tree complex tree
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tipset complex tree complex tree

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Slide 46: First-level pieces The tipset is a self-similar set
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First-level pieces The tipset is a self-similar set

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Slide 47: tipset connected Imatge Equació tipset disconnected
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tipset connected Imatge Equació tipset disconnected

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Slide 4949 / 49

Slide 49: bernat@espigule.com
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bernat@espigule.com
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