On Khintchine exponents and Lyapunov exponents of continued fractions

Ai-Hua Fan, Ling-Min Liao, Bao-Wei Wang +1

Assume that $x\in [0,1)$ admits its continued fraction expansion $x=[a_1(x),a_2(x),...]$. The Khintchine exponent $\gamma (x)$ of $x$ is defined by $γ(x):=\lim\limits_{n\to \infty}\fra…