2 papers
nlin.CD2022
Horizontal transport in the bouncing ball system with a sawtooth-shaped table
Yudai Okishio, Hiroaki Ito, Hiroyuki Kitahata
The system that consists of a ball bouncing off a sawtooth-shaped table vibrating vertically is considered. The horizontal motion in this system is caused by the table shape, and w…
math.DS2020
Diophantine approximation by negative continued fraction
Hiroaki Ito
We show that the growth rate of denominator of the -th convergent of negative expansion of and the rate of approximation: $$ \frac{\log{n}}{n}\log{\left|x-\frac{P_n}{Q…