The Motion of Hybrid Zones - And How to Stop Them

The Motion of Hybrid Zones - And How to Stop Them

International Mathematical Union via YouTube Direct link

Intro

1 of 21

1 of 21

Intro

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The Motion of Hybrid Zones - And How to Stop Them

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  1. 1 Intro
  2. 2 A mathematical model
  3. 3 Reproduction
  4. 4 A deterministic approximation
  5. 5 Examples of hybrid zones Maintained by selection?
  6. 6 Zooming out
  7. 7 (Mean) Curvature flow
  8. 8 The Allen-Cahn equation and curvature flow
  9. 9 A probabilistic proof (E. Freeman, Penington, 2017)
  10. 10 Majority voting in (Historical) BBM
  11. 11 Majority voting and the Allen-Cahn equation
  12. 12 Probabilistic proof of Chen's result
  13. 13 Some heuristics
  14. 14 What if homozygotes not equally fit?
  15. 15 Sensitivity to asymmetry (Gooding, 2018)
  16. 16 Invasions
  17. 17 Blocking (E., Gooding, Letter, 2022+)
  18. 18 A more precise statement
  19. 19 Other domains
  20. 20 Key argument
  21. 21 Effect of noise

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