User Tools

Site Tools


math105-s22:s:sk

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
math105-s22:s:sk [2022/04/18 08:31]
griffinke [References]
math105-s22:s:sk [2026/02/21 14:41] (current)
Line 378: Line 378:
 Example: we can construct a real tree with an undergraph of a function. Please refer to Christina Goldschmidt's lecture https://www.stats.ox.ac.uk/~goldschm/WarwickLecture2.pdf Example: we can construct a real tree with an undergraph of a function. Please refer to Christina Goldschmidt's lecture https://www.stats.ox.ac.uk/~goldschm/WarwickLecture2.pdf
  
-Definition[Real random tree]: +How can we generate a random tree? There are several methods. For example, we can generate the tree via a branching process (Galton–Watson process).
 ==== References ==== ==== References ====
  
Line 392: Line 392:
  
 6. The Continuum Random Tree III. David Aldous. Retrieved from https://projecteuclid.org/journals/annals-of-probability/volume-21/issue-1/The-Continuum-Random-Tree-III/10.1214/aop/1176989404.full 6. The Continuum Random Tree III. David Aldous. Retrieved from https://projecteuclid.org/journals/annals-of-probability/volume-21/issue-1/The-Continuum-Random-Tree-III/10.1214/aop/1176989404.full
 +
 +7. Gwynne, E., Miller, J.P., Sheffield, S. The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. https://arxiv.org/pdf/1705.11161.pdf
 +
 +8. Gwynne, Ewain, Jason Miller and Scott Sheffield. “Harmonic functions on mated-CRT maps.” Electronic journal of probability, 24, 58 (May 2019) https://dspace.mit.edu/bitstream/handle/1721.1/126714/1807.07511.pdf?sequence=2&isAllowed=y
 +
 +9. Jason Miller - 1/4 Equivalence of Liouville quantum gravity and the Brownian map. 
 +Institut des Hautes Études Scientifiques (IHÉS). https://www.youtube.com/watch?v=NB9iZ8ZX4dQ
 +
 ===== Additional material ===== ===== Additional material =====
  
math105-s22/s/sk.1650270696.txt.gz · Last modified: 2026/02/21 14:43 (external edit)