5 citations · 11 across the 5 of their papers we have counts for
5 papers
Typical Dispersion and Generalized Lyapunov Exponents
Steven Finch, Zai-Qiao Bai, Pascal Sebah
Let f(n) denote the number of odd entries in the nth row of Pascal's binomial triangle. We study "average dispersion" and "typical dispersion" of f(n) -- the latter involves comput…
Odd Entries in Pascal's Trinomial Triangle
Steven Finch, Pascal Sebah, Zai-Qiao Bai
The nth row of Pascal's trinomial triangle gives coefficients of (1+x+x^2)^n. Let g(n) denote the number of such coefficients that are odd. We review Moshe's algorithm for evaluati…
Symbolic Dynamics of Homoclinic Orbits in a Symmetric Map
Zai-Qiao Bai, Wei-Mou Zheng
Symbolic dynamics for homoclinic orbits in the two-dimensional symmetric map, , is discussed. Above a critical , the system exhibits a fu…
Singularity in classical and quantum Kepler Problem with Weak Anisotropy
Zai-Qiao Bai, Wei-Mou Zheng
Anisotropic Kepler problem is investigated by perturbation method in both classical and quantum mechanics. In classical mechanics, due to the singularity of the potential, global d…
Power-Law Energy Splitting Generated By Tunneling Between Non-smooth Tori
Z. Q. Bai
We discuss the energy level splitting due to quantum tunneling between congruent tori in phase space. In analytic cases, it is well known that decays faster than power of…