2 papers
math.DS2026
The natural extension of the -transformation
Shigeki Akiyama, Hiromi Ei, Hiroaki Ito
We give a concrete construction of a natural extension of -transformation when is greater than the golden mean. Our construction relies on its Markov diagram and the ei…
math.NT2025
Exponential Diophantine approximation and symbolic dynamics
Shigeki Akiyama, Teturo Kamae, Hajime Kaneko
We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the probl…