F. M. Tangerman

TL;DR: In this paper, the authors studied the boundedness of log-average Birkhoff sums with logarithmic singularity for the golden mean rotation number with periodic continued fraction approximations p(n)/q(n), where g(x) = log(2-2 cos(2 pi x).

TL;DR: In this article, the authors study Birkhoff sums with at the golden mean rotation number with continued fraction pn/qn, and show that g is the harmonic conjugate to the piecewise linear case studied by Hecke, and the convergence of with the existence of experimentally established limit function on [0, 1] which satisfies a functional equation f(α) + α2 f = β with a monotone function β.

TL;DR: In this article, a general framwork for the study of higher-dimensional Riemann problems for Hamilton-Jacobi equations is presented, and the framwork provides explicit solutions to a number of cases of interest.

TL;DR: In this article, the authors consider a flock with a single leader and a directed path from it to every agent, and show that a perturbation in the leader's orbit is almost always amplified exponentially in N as it propagates towards the outlying members of the flock.