2 papers
math.DS2024
Ergodicity and Algebraticity of the Fast and Slow Triangle Maps
Thomas Garrity, Jacob Lehmann Duke
Our goal is to show that both the fast and slow versions of the triangle map (a type of multi-dimensional continued fraction algorithm) in dimension are ergodic, resolving a co…
math.CO2022
Towards the Gaussianity of Random Zeckendorf Games
Justin Cheigh, Guilherme Zeus Dantas e Moura, Ryan Jeong +4
Zeckendorf proved that any positive integer has a unique decomposition as a sum of non-consecutive Fibonacci numbers, indexed by . Motiva…