What is...the Cantor sequence?
Goal.
I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much.
This time.
What is...the Cantor sequence? Or: 101000101...
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://arxiv.org/abs/2405.16786
Picture from https://www.dtubbenhauer.com/talks/20...
Main discussion.
https://oeis.org/A292686
https://en.wikipedia.org/wiki/Cantor_set
Background material.
https://encyclopediaofmath.org/wiki/M...
https://link.springer.com/book/10.100...
https://en.wikipedia.org/wiki/Transce...
https://en.wikipedia.org/wiki/Algebra...
https://en.wikipedia.org/wiki/Transce...
https://en.wikipedia.org/wiki/Transce...
https://en.wikipedia.org/wiki/Liouvil...
https://en.wikipedia.org/wiki/Hilbert...
https://en.wikipedia.org/wiki/Gelfond...
https://en.wikipedia.org/wiki/Baker%2...
https://en.wikipedia.org/wiki/Schanue...
https://en.wikipedia.org/wiki/Four_ex...
https://en.wikipedia.org/wiki/Six_exp...
https://en.wikipedia.org/wiki/Lindema...
https://math.stackexchange.com/questi...
https://en.wikipedia.org/wiki/Generat...
https://en.wikipedia.org/wiki/Fractal
Computer talk.
https://mathematica.stackexchange.com...
Pictures used.
https://en.wikipedia.org/wiki/Cantor_...
https://en.wikipedia.org/wiki/Cantor_...
Picture from https://www.dtubbenhauer.com/talks/20...
Another picture from https://www.dtubbenhauer.com/talks/20...
More pictures from https://www.dtubbenhauer.com/talks/20...
https://mathlandscape.com/wp-content/...
https://m.media-amazon.com/images/I/5...
https://media.springernature.com/w158...
YouTube and co.
• What are...Mahler functions? (Shameful selfpromotion)
• Boris Adamczewski: Furstenberg's conjectur...
• Transcendental Numbers - Numberphile
#analysis
#numbertheory
#mathematics