What is...analytic combinatorics?
Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...analytic combinatorics? Or: Subfields of mathematics 7.
Goal.
I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well.
This time.
What is...analytic combinatorics? Or: Subfields of mathematics 7.
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Slides.
http://www.dtubbenhauer.com/youtube.html
TeX files for the presentation.
https://github.com/dtubbenhauer/My-Te...
Thumbnail.
Picture from https://www.dtubbenhauer.com/geotop20...
Main discussion.
https://en.wikipedia.org/wiki/Analyti...
https://en.wikipedia.org/wiki/Analyti...)
https://www.cambridge.org/core/books/...
Background material.
https://en.wikipedia.org/wiki/Cayley%...
https://oeis.org/A000272
https://en.wikipedia.org/wiki/Double_...
https://www.cambridge.org/core/books/...
https://mathscinet.ams.org/mathscinet...
https://math.mit.edu/~rstan/transpare...
https://math.mit.edu/~rstan/transpare...
https://ajc.maths.uq.edu.au/pdf/81/aj...
https://oeis.org/A000081
https://en.wikipedia.org/wiki/Graph_t...
https://oeis.org/A051491
https://www.plouffe.fr/simon/constant...
https://www.cambridge.org/au/universi...
https://oeis.org/A000055
Computer talk.
https://doc.sagemath.org/html/en/refe...
https://doc.sagemath.org/html/en/refe...
https://doc.sagemath.org/html/en/refe...
Pictures used.
https://news.sophos.com/wp-content/up...
Picture using the answer here https://mathematica.stackexchange.com...
Picture from https://www.dtubbenhauer.com/geotop20...
Picture created using Mathematica’s ListLogPlot https://reference.wolfram.com/languag...
Pictures from https://www.dtubbenhauer.com/talks/20...
YouTube and co.
• Graph Theory 12: Cayley's Tree Theorem
• Cayley's Formula
#combinatorics
#analysis
#mathematics